{ "cells": [ { "cell_type": "raw", "id": "7b2eaf0a", "metadata": { "vscode": { "languageId": "raw" } }, "source": [ "---\n", "title: Figure-Eight-Knots and Ascher Summands\n", "jupyter: python3\n", "format:\n", " html:\n", " grid: \n", " margin-width: 350px\n", " mainfont: et-book, Gill Sans, Tahoma, Verdana, Lucida Grande, Helvetica, Arial\n", " monofont: Source Code Pro, Menlo, Monaco, 'Courier New', monospace\n", " backgroundcolor: \"#FFFFF8\"\n", " code-fold: true\n", " code-line-numbers: true\n", "execute: \n", " echo: fenced\n", "reference-location: margin\n", "citation-location: margin \n", "---\n", "\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "89af111f", "metadata": {}, "source": [ "# 1.0 Building a Database of Ascher Summands with Figure 8 Knots \n", "\n", "Aware that there is a potential relationship between [Figure-8-knots and Ascher Sums](./figure_eight_knots_inquiry_2.html), it's time to build dataframes of potential correspondences. Two dataframes are created:\n", "\n", "1. A [Sums-and-Figure-8-Knots Dataframe](../fieldmarks/analyses/database/figure8knotsums.html) showing Sum Information for all pendant ascher sums, augmented with information about figure-eight-knot cords in the summand ranges.\n", "2. A [Left-Handed](../fieldmarks/analyses/database/left_handed_eightknotsumsummary.html) and [Right Handed](../fieldmarks/analyses/database/right_handed_eightknotsumsummary.html) Eight-Knot-Sum-Summary \"contingency table\" of sorts, which summarizes the above table by khipu." ] }, { "cell_type": "markdown", "id": "e9a7a52b", "metadata": {}, "source": [ "# 2.0 Building the Augmented Sums-and-Eight-Knot Dataframe\n", "\n", "## 2.1 Fields of the Augmented Sums-and-Eight-Knot Dataframe\n", "\n", "First we build a database of sum/summands by concatenating the data frames for pendant-pendant-sums, colored-pendant-sums, and indexed-pendant sums, ignoring other Ascher sums due to the paucity of occurence. This database, known in the code below as the **pendant_ascher_sums_df** consists of the following information:\n", "\n", "**KFG Name/Sum Type**\n", "\n", "* kfg_name - The Khipu Field Guide Name\n", "* sum_type - Is it a 'pendant-pendant-sum', 'colored-pendant-sum', or 'indexed-pendant-sum'\n", "\n", "**Sum Cord**\n", "\n", "* cord_name - The Ascher sum cord name\n", "* cord_index - The sum cord's group/cord index\n", "* cord_value - The sum cord's value\n", "* cord_color - The Sum Cord's color\n", "\n", "**Summands**\n", "\n", "* handedness - Is it a left-handed (<0) or right-handed (>= 0) sum?\n", "* num_summands - How many pendant cord summands in the summand range\n", "* summand_string - An internal representation for computing use\n", "\n", "**Figure-8-Knot Information**\n", "\n", "* has_figure8knot_indicator - Is there a figure-8-knot **\"indicator\"** for the summand range. What is an *indicator*? For now, an indicator is defined as having a left-edge (the first/left pendant cord in a summand range) that is **marked** by a figure-8-knot card, or a right-edge (the last/right pendant cord in a summand range) that is **marked** by a figure-8-knot card. A summand edge cord is *marked* if it has one or more of the following conditions:\n", " \n", " * The edge cord is an eight-knot cord (ie. a [sole-8-knot cord](), or a [trailing-8-knot cord]()\n", " * The edge cord has a subsidiary that is an eight-knot-cord\n", " * Each edge cord has a left (or right) neighbor, bordering the summand range. i.e. if the summand range is p31 to p37 then p30 is the left neighbor and p38 is the right neighbor. If it has a pendant neighbor, does that neighbor, or it's subsidiaries have an eight-knot cord.\n", "\n", " For each sum/summand range, these conditions are tagged in the database as:\n", "\n", " * has_left_exact_8knot_cord - a boolean\n", " * has_right_exact_8knot_cord - a boolean\n", " * has_left_close_8knot_cord - a boolean\n", " * has_right_close_8knot_cord - a boolean\n", " * left_exact_pendant_8knot_cord_name - the pendant cordname if it matches condition\n", " * right_exact_pendant_8knot_cord_name - the pendant cordname if it matches condition\n", " * left_exact_subsidiary_8knot_cord_names - the cordnames if they match condition\n", " * right_exact_subsidiary_8knot_cord_names - the cordname if they match condition\n", " * left_close_pendant_cord_names - the left neighbor's pendant cordname if it matches condition\n", " * right_close_pendant_cord_names - the right neighbor's pendant cordname if it matches condition\n", " * left_close_subsidiary_8knot_cord_names - the cordname if they match condition\n", " * right_close_subsidiary_8knot_cord_names - the cordname if they match condition\n", "\n", "* has_parity_bit\n", " * Finally there is a parity bit flag. This requires greater explanation and will be discussed in the [parity bit section]()" ] }, { "cell_type": "code", "execution_count": 20, "id": "e4da917e", "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " \n", " " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import os\n", "import numpy as np\n", "from scipy import stats\n", "import pandas as pd\n", "from pandas import Series, DataFrame\n", "from collections import Counter\n", "\n", "import qollqa_chuspa as qc # A Khipu Maker is known (in Quechua) as a Khipu Kamayuq\n", "import utils_loom as uloom\n", "import utils_khipu as ukhipu\n", "import utils_pandas as upanda\n", "import utils_kfg_locations as uloc\n", " \n", "# Plotly\n", "import plotly\n", "from plotly.offline import iplot, init_notebook_mode\n", "import plotly.graph_objects as go\n", "import plotly.express as px\n", "import plotly.figure_factory as ff\n", "plotly.offline.init_notebook_mode(connected = False)\n", "# Load all khipus\n", "(khipu_dict, all_khipus) = qc.fetch_khipus()\n", "\n", "KFG_Names = ukhipu.kfg_order(khipu_dict.keys())\n", "khipu_cords_dict = {KFG_Name: khipu_dict[KFG_Name].all_cords(include_bottom_cords=True, include_top_cords=True, include_subsidiaries=True) for KFG_Name in KFG_Names}\n", "total_num_khipu_cords = sum([len(khipu_cords_dict[KFG_Name]) for KFG_Name in KFG_Names])" ] }, { "cell_type": "markdown", "id": "91145945", "metadata": {}, "source": [ "## 2.2 Building the Augmented Sums-and-Eight-Knot Dataframe\n", "\n", "Why only choose pendant-pendant-sums, indexed-pendant-sums and colored-pendant-sums? \n", "\n", "It may be useful to recount the number of all pendant ascher sums of the three various types (pendant-pendant-sums, colored-pendant-sums, and indexed-pendant-sums)" ] }, { "cell_type": "code", "execution_count": 21, "id": "7ec22fff", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "58% (411 of 711) khipus have pendant_pendant_sums\n", "29% (204 of 711) khipus have indexed_pendant_sums\n", "39% (278 of 711) khipus have colored_pendant_sums\n", "21% (149 of 711) khipus have subsidiary_pendant_sums\n" ] } ], "source": [ "from fieldmark_ascher_pendant_pendant_sum import FieldmarkPendantPendantSum\n", "from fieldmark_ascher_indexed_pendant_sum import FieldmarkIndexedPendantSum\n", "from fieldmark_ascher_colored_pendant_sum import FieldmarkColoredPendantSum\n", "from fieldmark_ascher_subsidiary_pendant_sum import FieldmarkSubsidiaryPendantSum\n", "\n", "pendant_pendant_sums_df = FieldmarkPendantPendantSum().relations_df()\n", "indexed_pendant_sums_df = FieldmarkIndexedPendantSum().relations_df()\n", "colored_pendant_sums_df = FieldmarkColoredPendantSum().relations_df()\n", "subsidiary_pendant_sums_df = FieldmarkSubsidiaryPendantSum().relations_df()\n", "\n", "num_pps_khipus = pendant_pendant_sums_df['kfg_name'].nunique() \n", "num_ips_khipus = indexed_pendant_sums_df['kfg_name'].nunique() \n", "num_cps_khipus = colored_pendant_sums_df['kfg_name'].nunique() \n", "num_sps_khipus = subsidiary_pendant_sums_df['kfg_name'].nunique()\n", "print(f\"{uloom.percent_info(num_pps_khipus, len(all_khipus))} khipus have pendant_pendant_sums\")\n", "print(f\"{uloom.percent_info(num_ips_khipus, len(all_khipus))} khipus have indexed_pendant_sums\")\n", "print(f\"{uloom.percent_info(num_cps_khipus, len(all_khipus))} khipus have colored_pendant_sums\")\n", "print(f\"{uloom.percent_info(num_sps_khipus, len(all_khipus))} khipus have subsidiary_pendant_sums\")" ] }, { "cell_type": "markdown", "id": "965d7ad2", "metadata": {}, "source": [ "Only the first three sum relations are chosen. We can then concatenate those resulting dataframes together:" ] }, { "cell_type": "code", "execution_count": 22, "id": "74d494d5", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
kfg_namecord_namecord_indexcord_valuecord_colornum_summandshandednesshas_figure8knot_indicatorhas_left_exact_8knot_cordhas_right_exact_8knot_cord...right_exact_pendant_8knot_cord_nameleft_exact_subsidiary_8knot_cord_namesright_exact_subsidiary_8knot_cord_namesleft_close_pendant_cord_namesright_close_pendant_cord_namesleft_close_subsidiary_8knot_cord_namesright_close_subsidiary_8knot_cord_nameshas_parity_bitsummand_stringsum_type
0CM009p24[4, 2]60GG3-7TrueFalseFalse...p15FalseGG@[2, 6]:3 + W:KB@[2, 7]:1 + W@[3, 0]:56pendant_pendant_sum
1CM009p25[4, 3]17W:KB11-18TrueFalseTrue...p12p1TrueGG@[0, 1]:1 + W@[0, 2]:1 + AB@[0, 3]:0 + W:KB@...pendant_pendant_sum
2CM009p38[7, 0]57W2-21TrueTrueFalse...TrueW:KB@[2, 7]:1 + W@[3, 0]:56pendant_pendant_sum
3CM009p63[13, 1]44AB7-8TrueTrueFalse...p51TrueGG@[10, 2]:1 + W:KB@[10, 3]:0 + W@[11, 0]:6 + ...pendant_pendant_sum
4CM009p64[13, 2]39GG4-7TrueFalseFalse...p55FalseGG@[11, 2]:3 + W:KB@[11, 3]:0 + W@[12, 0]:33 +...pendant_pendant_sum
\n", "

5 rows × 23 columns

\n", "
" ], "text/plain": [ " kfg_name cord_name cord_index cord_value cord_color num_summands \\\n", "0 CM009 p24 [4, 2] 60 GG 3 \n", "1 CM009 p25 [4, 3] 17 W:KB 11 \n", "2 CM009 p38 [7, 0] 57 W 2 \n", "3 CM009 p63 [13, 1] 44 AB 7 \n", "4 CM009 p64 [13, 2] 39 GG 4 \n", "\n", " handedness has_figure8knot_indicator has_left_exact_8knot_cord \\\n", "0 -7 True False \n", "1 -18 True False \n", "2 -21 True True \n", "3 -8 True True \n", "4 -7 True False \n", "\n", " has_right_exact_8knot_cord ... right_exact_pendant_8knot_cord_name \\\n", "0 False ... \n", "1 True ... p12 \n", "2 False ... \n", "3 False ... \n", "4 False ... \n", "\n", " left_exact_subsidiary_8knot_cord_names \\\n", "0 \n", "1 \n", "2 \n", "3 \n", "4 \n", "\n", " right_exact_subsidiary_8knot_cord_names left_close_pendant_cord_names \\\n", "0 p15 \n", "1 p1 \n", "2 \n", "3 p51 \n", "4 p55 \n", "\n", " right_close_pendant_cord_names left_close_subsidiary_8knot_cord_names \\\n", "0 \n", "1 \n", "2 \n", "3 \n", "4 \n", "\n", " right_close_subsidiary_8knot_cord_names has_parity_bit \\\n", "0 False \n", "1 True \n", "2 True \n", "3 True \n", "4 False \n", "\n", " summand_string sum_type \n", "0 GG@[2, 6]:3 + W:KB@[2, 7]:1 + W@[3, 0]:56 pendant_pendant_sum \n", "1 GG@[0, 1]:1 + W@[0, 2]:1 + AB@[0, 3]:0 + W:KB@... pendant_pendant_sum \n", "2 W:KB@[2, 7]:1 + W@[3, 0]:56 pendant_pendant_sum \n", "3 GG@[10, 2]:1 + W:KB@[10, 3]:0 + W@[11, 0]:6 + ... pendant_pendant_sum \n", "4 GG@[11, 2]:3 + W:KB@[11, 3]:0 + W@[12, 0]:33 +... pendant_pendant_sum \n", "\n", "[5 rows x 23 columns]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Build Concatenated DataFrames for all pendant Ascher Sums\n", "pendant_ascher_sums_df = pd.concat([pendant_pendant_sums_df.copy(deep=True),\n", " indexed_pendant_sums_df.copy(deep=True),\n", " colored_pendant_sums_df.copy(deep=True)])\n", "pendant_ascher_sums_df['sum_type'] = ['pendant_pendant_sum']*len(pendant_pendant_sums_df) + ['indexed_pendant_sum']*len(indexed_pendant_sums_df) + ['colored_pendant_sum']*len(colored_pendant_sums_df)\n", "pendant_ascher_sums_df.fillna('', inplace=True) \n", "pendant_ascher_sums_df.head()" ] }, { "cell_type": "code", "execution_count": 23, "id": "9974ab67", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generated Pandas2HTML HTML table: file:///Users/ashokkhosla/Desktop/LOOM/khipufieldguide/notebook/fieldmarks/analyses/database/figure8knotsums.html\n" ] } ], "source": [ "from pandas2html import Pandas2HTML\n", "\n", "file_specs = {\n", " \"output_dir\":f\"{uloc.fieldmark_staging_dir()}/analyses/database\",\n", " \"basename\":\"figure8knotsums\"\n", " } \n", "page_specs = {\n", " \"title\":\"Figure-8 Knot Sums\",\n", " \"description\":\"Khipus whose Ascher Summand Ranges are Marked by Cords W/a Figure-8 Knot\",\n", " }\n", "column_specs = {'cord_value':{'label':\"Cord Value\", 'formatter':\"number\"},\n", " 'num_summands':{'label':\"# Summands\", 'formatter':\"number\"},\n", " 'handedness':{'label':\"Handedness\", 'formatter':\"number\"}}\n", "\n", "pendant_ascher_sums_df.fillna('', inplace=True)\n", "Pandas2HTML(file_specs, page_specs, column_specs, from_df=pendant_ascher_sums_df).make_pandas_html(show_html=False);\n" ] }, { "cell_type": "markdown", "id": "f8d449da", "metadata": {}, "source": [ "## 2.3 Viewing the Augmented Sums-and-Eight-Knot Dataframe\n", "\n", "The Sums-and-Eight-Knots Dataframe [can be viewed here](../fieldmarks/analyses/database/figure8knotsums.html) showing Sum Information for all pendant ascher sums, augmented with information about figure-eight-knot cords in the summand ranges." ] }, { "cell_type": "markdown", "id": "d9156590", "metadata": {}, "source": [ "# 3.0 Building the Eight-Knot-Sum-Summary\n", "\n", "## 3.1 Fields of the Eight-Knot Sum-Summary Dataframe\n", "\n", "Once a detailed, sum-by-sum inventory has been done, a summary contigency table, by khipu can be built.\n", "Here called **eight_knot_sums_df** which has the following \"frequency count\" information by khipu.\n", "\n", "**KFG Name Index**\n", "\n", "* kfg_name\n", "\n", "**Sum Information**\n", "\n", "* num_ascher_sums\n", "* num_pps_sums\n", "* num_cps_sums\n", "* num_ips_sums\n", "\n", "**Summary Frequency Counts of Eight-Knot Cord Markings**\n", "\n", "* total_8knot_cords - the total number of the khipu's figure-8-knot cords (including subsidiaries), regardless of what or how they are marked.\n", "* total_sum8knots - the sum of total_exact_sole8knots + total_close_sole8knots + total_exact_trailing8knots + total_close_sole8knots\n", "* total_sole8knots - the number of summand-figure-8-knot marker cords that are sole-8-knots\n", "* total_trailing8knots - the number of summand-figure-8-knot marker cords that are trailing-8-knots\n", "* total_exact_sole8knots - the number of *pendant* or *subsidiary* summand-figure-8-knot marker cords that are sole-8-knots\n", "* total_exact_trailing8knots - the number of *pendant* or *subsidiary* summand-figure-8-knot marker cords that are trailing-8-knots\n", "* total_close_sole8knots - the number of neigboring *pendant* or *subsidiary* summand-figure-8-knot marker cords that are trailing-8-knots\n", "* total_close_trailing8knots - the number of neigboring *pendant* or *subsidiary* summand-figure-8-knot marker cords that are trailing-8-knots\n", "\n", "**Detailed Frequency Counts of Eight-Knot Cord Markings**\n", "\n", "* left_exact_pendant_8knot_cord_type_sole8knot\n", "* left_exact_pendant_8knot_cord_type_trailing8knot\n", "* right_exact_pendant_8knot_cord_type_sole8knot\n", "* right_exact_pendant_8knot_cord_type_trailing8knot\n", "* left_exact_subsidiary_8knot_cord_type_sole8knot\n", "* left_exact_subsidiary_8knot_cord_type_trailing8knot\n", "* right_exact_subsidiary_8knot_cord_type_sole8knot\n", "* right_exact_subsidiary_8knot_cord_type_trailing8knot\n", "* left_close_pendant_8knot_cord_type_sole8knot\n", "* left_close_pendant_8knot_cord_type_trailing8knot\n", "* right_close_pendant_8knot_cord_type_sole8knot\n", "* right_close_pendant_8knot_cord_type_trailing8knot\n", "* left_close_subsidiary_8knot_cord_type_sole8knot\n", "* left_close_subsidiary_8knot_cord_type_trailing8knot\n", "* right_close_subsidiary_8knot_cord_type_sole8knot\n", "* right_close_subsidiary_8knot_cord_type_trailing8knot" ] }, { "cell_type": "code", "execution_count": 24, "id": "e1aef6b7", "metadata": {}, "outputs": [], "source": [ "kfg_names = pendant_ascher_sums_df['kfg_name'].tolist()\n", "\n", "def cord_8knot_type(aKFGName, aCordName):\n", " if len(aCordName) == 0: return \"\"\n", " aCord = khipu_dict[aKFGName].find_cord_named(aCordName)\n", " if aCord is None: return \"\"\n", " if aCord.has_sole_eight_knot(): the_8knot_type = \"sole_8knot\"\n", " elif aCord.has_trailing_eight_knot(): the_8knot_type = \"trailing_8knot\"\n", " else: the_8knot_type = \"\"\n", " return the_8knot_type\n", "\n", "def eight_knot_cord_types(aColumnName):\n", " cord_names = pendant_ascher_sums_df[aColumnName].tolist()\n", " cord_names = [aName.split(',')[0] for aName in cord_names] # Only use first subsidiary\n", " cord_types = [cord_8knot_type(kfg_names[i], cord_names[i]) for i in range(len(cord_names))]\n", " return cord_types\n", "\n", "pendant_ascher_sums_df['left_exact_pendant_8knot_cord_type'] = eight_knot_cord_types('left_exact_pendant_8knot_cord_name')\n", "pendant_ascher_sums_df['right_exact_pendant_8knot_cord_type'] = eight_knot_cord_types('right_exact_pendant_8knot_cord_name')\n", "pendant_ascher_sums_df['left_exact_subsidiary_8knot_cord_type'] = eight_knot_cord_types('left_exact_subsidiary_8knot_cord_names')\n", "pendant_ascher_sums_df['right_exact_subsidiary_8knot_cord_type'] = eight_knot_cord_types('right_exact_subsidiary_8knot_cord_names')\n", "pendant_ascher_sums_df['left_close_pendant_8knot_cord_type'] = eight_knot_cord_types('left_close_pendant_cord_names')\n", "pendant_ascher_sums_df['right_close_pendant_8knot_cord_type'] = eight_knot_cord_types('right_close_pendant_cord_names')\n", "pendant_ascher_sums_df['left_close_subsidiary_8knot_cord_type'] = eight_knot_cord_types('left_close_subsidiary_8knot_cord_names')\n", "pendant_ascher_sums_df['right_close_subsidiary_8knot_cord_type'] = eight_knot_cord_types('right_close_subsidiary_8knot_cord_names')\n", "\n", "pendant_ascher_sums_df.to_csv(f\"{uloc.fieldmarks_data_dir()}/figure8knotsums.csv\", index=False) " ] }, { "cell_type": "code", "execution_count": 25, "id": "4827919b", "metadata": {}, "outputs": [], "source": [ "from collections import Counter\n", "from fieldmark_figure8knots import FieldmarkFigure8Knots\n", "figure8knots_df = FieldmarkFigure8Knots().relations_df()\n", "\n", "eight_knot_cord_type_columns = ['left_exact_pendant_8knot_cord_type', 'right_exact_pendant_8knot_cord_type', \n", " 'left_exact_subsidiary_8knot_cord_type', 'right_exact_subsidiary_8knot_cord_type',\n", " 'left_close_pendant_8knot_cord_type', 'right_close_pendant_8knot_cord_type',\n", " 'left_close_subsidiary_8knot_cord_type', 'right_close_subsidiary_8knot_cord_type'] \n", "\n", "def calc_num_sole_8knot_cords(aDF, aKFGName, aColumnName):\n", " kfg_df = aDF[aDF['kfg_name'] == aKFGName]\n", " sole_8knot_df = kfg_df[kfg_df[aColumnName]=='sole_8knot']\n", " return sole_8knot_df.shape[0]\n", "\n", "def calc_num_trailing_8knot_cords(aDF, aKFGName, aColumnName):\n", " kfg_df = aDF[aDF['kfg_name'] == aKFGName]\n", " sole_8knot_df = kfg_df[kfg_df[aColumnName]=='trailing_8knot']\n", " return sole_8knot_df.shape[0]\n", "\n", "def calc_total_8knot_cords(aDF, aKFGName):\n", " kfg_df = figure8knots_df[figure8knots_df['kfg_name'] == aKFGName]\n", " return kfg_df.shape[0]\n", "\n", "def build_augmented_eight_knot_df(aDF):\n", " kfg_names = aDF['kfg_name'].tolist()\n", " eight_knot_types = []\n", " for kfg_name in ukhipu.lexigraphic_order(uloom.unique(kfg_names)):\n", " kfg_df = aDF[aDF['kfg_name'] == kfg_name]\n", " num_sums = kfg_df.shape[0] \n", " num_pps_sums = kfg_df[kfg_df['sum_type'] == 'pendant_pendant_sum'].shape[0]\n", " num_ips_sums = kfg_df[kfg_df['sum_type'] == 'indexed_pendant_sum'].shape[0]\n", " num_cps_sums = kfg_df[kfg_df['sum_type'] == 'colored_pendant_sum'].shape[0]\n", "\n", " total_exact_sole8knots = (\n", " calc_num_sole_8knot_cords(aDF, kfg_name, 'left_exact_pendant_8knot_cord_type') + \n", " calc_num_sole_8knot_cords(aDF, kfg_name, 'right_exact_pendant_8knot_cord_type') + \n", " calc_num_sole_8knot_cords(aDF, kfg_name, 'left_exact_subsidiary_8knot_cord_type') + \n", " calc_num_sole_8knot_cords(aDF, kfg_name, 'right_exact_subsidiary_8knot_cord_type'))\n", " \n", " total_exact_trailing8knots = (\n", " calc_num_trailing_8knot_cords(aDF, kfg_name, 'left_exact_pendant_8knot_cord_type') + \n", " calc_num_trailing_8knot_cords(aDF, kfg_name, 'right_exact_pendant_8knot_cord_type') + \n", " calc_num_trailing_8knot_cords(aDF, kfg_name, 'left_exact_subsidiary_8knot_cord_type') + \n", " calc_num_trailing_8knot_cords(aDF, kfg_name, 'right_exact_subsidiary_8knot_cord_type'))\n", " \n", " total_close_sole8knots = (\n", " calc_num_sole_8knot_cords(aDF, kfg_name, 'left_close_pendant_8knot_cord_type') + \n", " calc_num_sole_8knot_cords(aDF, kfg_name, 'right_close_pendant_8knot_cord_type') + \n", " calc_num_sole_8knot_cords(aDF, kfg_name, 'left_close_subsidiary_8knot_cord_type') + \n", " calc_num_sole_8knot_cords(aDF, kfg_name, 'right_close_subsidiary_8knot_cord_type'))\n", " \n", " total_close_trailing8knots = (\n", " calc_num_trailing_8knot_cords(aDF, kfg_name, 'left_close_pendant_8knot_cord_type') + \n", " calc_num_trailing_8knot_cords(aDF, kfg_name, 'right_close_pendant_8knot_cord_type') + \n", " calc_num_trailing_8knot_cords(aDF, kfg_name, 'left_close_subsidiary_8knot_cord_type') + \n", " calc_num_trailing_8knot_cords(aDF, kfg_name, 'right_close_subsidiary_8knot_cord_type'))\n", " \n", " the_row_dict = {'kfg_name': kfg_name}\n", "\n", " the_row_dict['num_ascher_sums'] = num_sums\n", " the_row_dict['num_pps_sums'] = num_pps_sums\n", " the_row_dict['num_cps_sums'] = num_cps_sums\n", " the_row_dict['num_ips_sums'] = num_ips_sums\n", "\n", " the_row_dict['total_8knot_cords'] = calc_total_8knot_cords(aDF, kfg_name)\n", " the_row_dict['total_sum8knots'] = total_exact_sole8knots + total_close_sole8knots + total_exact_trailing8knots + total_close_sole8knots\n", " the_row_dict['total_sole8knots'] = total_exact_sole8knots + total_close_sole8knots\n", " the_row_dict['total_trailing8knots'] = total_exact_trailing8knots + total_close_trailing8knots\n", " the_row_dict['total_exact_sole8knots'] = total_exact_sole8knots\n", " the_row_dict['total_exact_trailing8knots'] = total_exact_trailing8knots\n", " the_row_dict['total_close_sole8knots'] = total_close_sole8knots\n", " the_row_dict['total_close_trailing8knots'] = total_close_trailing8knots\n", "\n", " for aColumn in eight_knot_cord_type_columns:\n", " the_row_dict[aColumn+'_sole8knot'] = calc_num_sole_8knot_cords(aDF, kfg_name, aColumn)\n", " the_row_dict[aColumn+'_trailing8knot'] = calc_num_trailing_8knot_cords(aDF, kfg_name, aColumn)\n", " eight_knot_types.append(the_row_dict)\n", "\n", " return pd.DataFrame(eight_knot_types)\n", "\n", "left_handed_df = pendant_ascher_sums_df[pendant_ascher_sums_df['handedness'] < 0]\n", "right_handed_df = pendant_ascher_sums_df[pendant_ascher_sums_df['handedness'] >= 0]\n", "left_handed_eight_knot_types_df = build_augmented_eight_knot_df(left_handed_df)\n", "right_handed_eight_knot_types_df = build_augmented_eight_knot_df(right_handed_df)\n", "all_eight_knot_types_df = build_augmented_eight_knot_df(pendant_ascher_sums_df) \n", "left_handed_eight_knot_types_df.to_csv(f\"{uloc.fieldmarks_data_dir()}/left_handed_sums_8knot_types.csv\", index=False)\n", "right_handed_eight_knot_types_df.to_csv(f\"{uloc.fieldmarks_data_dir()}/right_handed_sums_8knot_types.csv\", index=False)\n", "all_eight_knot_types_df.to_csv(f\"{uloc.fieldmarks_data_dir()}/all_sums_8knot_types.csv\", index=False) " ] }, { "cell_type": "code", "execution_count": 26, "id": "e0855839", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generated Pandas2HTML HTML table: file:///Users/ashokkhosla/Desktop/LOOM/khipufieldguide/notebook/fieldmarks/analyses/database/left_handed_eightknotsumsummary.html\n", "Generated Pandas2HTML HTML table: file:///Users/ashokkhosla/Desktop/LOOM/khipufieldguide/notebook/fieldmarks/analyses/database/right_handed_eightknotsumsummary.html\n", "Generated Pandas2HTML HTML table: file:///Users/ashokkhosla/Desktop/LOOM/khipufieldguide/notebook/fieldmarks/analyses/database/eightknotsumsummary.html\n" ] } ], "source": [ "class EightKnotSummaryViewer(Pandas2HTML):\n", " def default_type_is_number(self, column_name):\n", " start_adjectives = [\"index\", \"total\", \"right\", \"left\"]\n", " end_adjectives = [\"index\"]\n", " return (any([column_name.lower().startswith(x) for x in start_adjectives]) or \n", " any([column_name.lower().endswith(x) for x in end_adjectives]))\n", "\n", " def default_type_is_bar(self, column_name):\n", " return False\n", "\n", " def default_label(self, column_name):\n", " the_label = super().default_label(column_name)\n", " is_frequency_count = (column_name.startswith(\"left\") or column_name.startswith(\"right\"))\n", " if is_frequency_count: the_label = \"# \" + the_label.strip() + \"s\"\n", " return the_label\n", "\n", "column_specs = {}\n", "file_specs = {\n", " \"output_dir\":f\"{uloc.fieldmark_staging_dir()}/analyses/database\",\n", " \"basename\":\"left_handed_eightknotsumsummary\"\n", " } \n", "page_specs = {\n", " \"title\":\"Left-Handed Figure-8 Knot Sum Summary\",\n", " \"description\":\"Left-Handed Summary Frequency Counts for Khipus whose Ascher Summand Ranges are Marked by Cords W/Figure-8 Knot\",\n", " }\n", "left_handed_eight_knot_types_df.fillna('', inplace=True)\n", "EightKnotSummaryViewer(file_specs, page_specs, column_specs, from_df=left_handed_eight_knot_types_df).make_pandas_html(show_html=False);\n", "\n", "file_specs = {\n", " \"output_dir\":f\"{uloc.fieldmark_staging_dir()}/analyses/database\",\n", " \"basename\":\"right_handed_eightknotsumsummary\"\n", " } \n", "page_specs = {\n", " \"title\":\"Right-Handed Figure-8 Knot Sum Summary\",\n", " \"description\":\"Right-Handed Summary Frequency Counts for Khipus whose Ascher Summand Ranges are Marked by Cords W/Figure-8 Knot\",\n", " }\n", "right_handed_eight_knot_types_df.fillna('', inplace=True)\n", "EightKnotSummaryViewer(file_specs, page_specs, column_specs, from_df=right_handed_eight_knot_types_df).make_pandas_html(show_html=False);\n", "\n", "file_specs = {\n", " \"output_dir\":f\"{uloc.fieldmark_staging_dir()}/analyses/database\",\n", " \"basename\":\"eightknotsumsummary\"\n", " } \n", "page_specs = {\n", " \"title\":\"Figure-8 Knot Sum Summary\",\n", " \"description\":\"Ascher Sum Summary Frequency Counts for Khipus whose Ascher Summand Ranges are Marked by Cords W/Figure-8 Knot\",\n", " }\n", "all_eight_knot_types_df.fillna('', inplace=True)\n", "EightKnotSummaryViewer(file_specs, page_specs, column_specs, from_df=all_eight_knot_types_df).make_pandas_html(show_html=False);" ] }, { "cell_type": "code", "execution_count": 27, "id": "21b8697c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Index(['kfg_name', 'num_ascher_sums', 'num_pps_sums', 'num_cps_sums',\n", " 'num_ips_sums', 'total_8knot_cords', 'total_sum8knots',\n", " 'total_sole8knots', 'total_trailing8knots', 'total_exact_sole8knots',\n", " 'total_exact_trailing8knots', 'total_close_sole8knots',\n", " 'total_close_trailing8knots',\n", " 'left_exact_pendant_8knot_cord_type_sole8knot',\n", " 'left_exact_pendant_8knot_cord_type_trailing8knot',\n", " 'right_exact_pendant_8knot_cord_type_sole8knot',\n", " 'right_exact_pendant_8knot_cord_type_trailing8knot',\n", " 'left_exact_subsidiary_8knot_cord_type_sole8knot',\n", " 'left_exact_subsidiary_8knot_cord_type_trailing8knot',\n", " 'right_exact_subsidiary_8knot_cord_type_sole8knot',\n", " 'right_exact_subsidiary_8knot_cord_type_trailing8knot',\n", " 'left_close_pendant_8knot_cord_type_sole8knot',\n", " 'left_close_pendant_8knot_cord_type_trailing8knot',\n", " 'right_close_pendant_8knot_cord_type_sole8knot',\n", " 'right_close_pendant_8knot_cord_type_trailing8knot',\n", " 'left_close_subsidiary_8knot_cord_type_sole8knot',\n", " 'left_close_subsidiary_8knot_cord_type_trailing8knot',\n", " 'right_close_subsidiary_8knot_cord_type_sole8knot',\n", " 'right_close_subsidiary_8knot_cord_type_trailing8knot'],\n", " dtype='object')" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "all_eight_knot_types_df.columns" ] }, { "cell_type": "code", "execution_count": 28, "id": "11e8feaf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\tsource=c(\"All Khipus\", \"All Khipus\",\n", "\t\t\"( 61% ) W/Pendant Sum\", \"( 61% ) W/Pendant Sum\", \n", "\t\t\"( 72% ) W/8Knot Pendant Sum Marker\", \"( 72% ) W/8Knot Pendant Sum Marker\", \"( 72% ) W/8Knot Pendant Sum Marker\"),\n", "\ttarget=c(\"( 61% ) W/Pendant Sums\", \"( 39% ) W-Out/Pendant Sums\", \n", "\t\t\"( 72% ) W/8Knot Pendant Sum Markers\", \"( 28% ) W-Out/8Knot Pendant Sums Markers\",\n", "\t\t\"( 12% ) Only Left-Handed 8Knot Pendant Sums\", \"( 82% ) Left AND Right-Handed 8Knot Pendant Sums\", \"( 13% ) Only Right-Handed 8Knot Pendant Sums\"),\n", "\tvalue=c(434, 277, 313, 121, 39, 256, 40)\n" ] } ], "source": [ "from utils_khipu import pct_kfg_khipus\n", "\n", "\n", "do_make_khipus_by_8knot_type_sankey_diagram = True\n", "# Provide data for Khipu Sums by % of Figure-8-Knot Marker Type \n", "\n", "# source=c(\"All Khipus\", \"All Khipus\", \n", "# \"(78%) W/Pendant Sums\", \"(78%) W/Pendant Sums\", \n", "# \"(77%) With 8Knot Pendant Sum Markers\", \"(77%) With 8Knot Pendant Sum Markers\", \"(77%) With 8Knot Pendant Sum Markers\"),\n", "# target=c(\"(78%) With Pendant Sums\", \"(22%) With Out Pendant Sums\", \n", "# \"(77%) With 8Knot Pendant Sum Markers\", \"(23%) With Out 8Knot Pendant Sums Markers\",\n", "# \"(16%) Only Left-Handed 8Knot Pendant Sums\",\"(64%) Left AND Right-Handed 8Knot Pendant Sums\", \"(20%) Only Right-Handed 8Knot Pendant Sums\"),\n", "# value=c(416, 664-416, 320, 416-320, 52, 204, 64)\n", "\n", "if do_make_khipus_by_8knot_type_sankey_diagram:\n", " def has_left_handed_8knot_pendant_sums(aKFGName):\n", " aDF = all_eight_knot_types_df[all_eight_knot_types_df['kfg_name'] == aKFGName]\n", " has_left_handed_8knot_pendant_sum = (\n", " (len(aDF[aDF['left_exact_pendant_8knot_cord_type_sole8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['left_exact_pendant_8knot_cord_type_trailing8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['left_exact_subsidiary_8knot_cord_type_sole8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['left_exact_subsidiary_8knot_cord_type_trailing8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['left_close_pendant_8knot_cord_type_sole8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['left_close_pendant_8knot_cord_type_trailing8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['left_close_subsidiary_8knot_cord_type_sole8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['left_close_subsidiary_8knot_cord_type_trailing8knot'] > 0]) > 0)\n", " )\n", "\n", " return 1 if has_left_handed_8knot_pendant_sum else 0 \n", "\n", " def has_right_handed_8knot_pendant_sums(aKFGName):\n", " aDF = all_eight_knot_types_df[all_eight_knot_types_df['kfg_name'] == aKFGName]\n", " has_right_handed_8knot_pendant_sum = (\n", " (len(aDF[aDF['right_exact_pendant_8knot_cord_type_sole8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['right_exact_pendant_8knot_cord_type_trailing8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['right_exact_subsidiary_8knot_cord_type_sole8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['right_exact_subsidiary_8knot_cord_type_trailing8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['right_close_pendant_8knot_cord_type_sole8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['right_close_pendant_8knot_cord_type_trailing8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['right_close_subsidiary_8knot_cord_type_sole8knot'] > 0]) > 0) or\n", " (len(aDF[aDF['right_close_subsidiary_8knot_cord_type_trailing8knot'] > 0]) > 0)\n", " )\n", " \n", " return 1 if has_right_handed_8knot_pendant_sum else 0\n", "\n", " def has_both_handed_8knot_trailing_sums(aKFGName):\n", " has_both_handed_8knot_trailing_sum = has_left_handed_8knot_pendant_sums(aKFGName) and has_right_handed_8knot_pendant_sums(aKFGName)\n", " return 1 if has_both_handed_8knot_trailing_sum else 0\n", "\n", "\n", "\n", " num_all_khipus = len(all_khipus)\n", " # Determine the number of khipus with 8-knots\n", " num_khipus_with_all_pendant_sums = len(all_eight_knot_types_df[all_eight_knot_types_df['num_ascher_sums'] > 0])\n", " num_khipus_without_pendant_sums = num_all_khipus - num_khipus_with_all_pendant_sums\n", " \n", " num_all_pendant_sums_with_8knot_markers = len(all_eight_knot_types_df[all_eight_knot_types_df['total_sum8knots'] > 0])\n", " num_all_pendant_sums_without_8knot_markers = num_khipus_with_all_pendant_sums - num_all_pendant_sums_with_8knot_markers\n", " \n", " num_left_handed_8knot_pendant_sums = sum(has_left_handed_8knot_pendant_sums(kfg_name) and (not has_right_handed_8knot_pendant_sums(kfg_name)) for kfg_name in all_eight_knot_types_df['kfg_name'])\n", " num_right_handed_8knot_pendant_sums = sum(has_right_handed_8knot_pendant_sums(kfg_name) and (not has_left_handed_8knot_pendant_sums(kfg_name)) for kfg_name in all_eight_knot_types_df['kfg_name'])\n", " num_both_handed_8knot_pendant_sums = sum(has_both_handed_8knot_trailing_sums(kfg_name) for kfg_name in all_eight_knot_types_df['kfg_name'])\n", "\n", " sums_pct = round(100.0* num_khipus_with_all_pendant_sums / float(num_all_khipus))\n", " sum_markers_pct = round(100.0* num_all_pendant_sums_with_8knot_markers / float(num_khipus_with_all_pendant_sums))\n", " left_handed_sums_pct = round(100.0* num_left_handed_8knot_pendant_sums / float(num_all_pendant_sums_with_8knot_markers))\n", " right_handed_sums_pct = round(100.0* num_right_handed_8knot_pendant_sums / float(num_all_pendant_sums_with_8knot_markers))\n", " both_handed_sums_pct = round(100.0* num_both_handed_8knot_pendant_sums / float(num_all_pendant_sums_with_8knot_markers))\n", "\n", " print(f\"\\tsource=c(\\\"All Khipus\\\", \\\"All Khipus\\\",\")\n", " print(f\"\\t\\t\\\"( {sums_pct}% ) W/Pendant Sum\\\", \\\"( {sums_pct}% ) W/Pendant Sum\\\", \")\n", " print(f\"\\t\\t\\\"( {sum_markers_pct}% ) W/8Knot Pendant Sum Marker\\\", \\\"( {sum_markers_pct}% ) W/8Knot Pendant Sum Marker\\\", \\\"( {sum_markers_pct}% ) W/8Knot Pendant Sum Marker\\\"),\")\n", " \n", " print(f\"\\ttarget=c(\\\"( {sums_pct}% ) W/Pendant Sums\\\", \\\"( {100-sums_pct}% ) W-Out/Pendant Sums\\\", \")\n", " print(f\"\\t\\t\\\"( {sum_markers_pct}% ) W/8Knot Pendant Sum Markers\\\", \\\"( {100-sum_markers_pct}% ) W-Out/8Knot Pendant Sums Markers\\\",\")\n", " print(f\"\\t\\t\\\"( {left_handed_sums_pct}% ) Only Left-Handed 8Knot Pendant Sums\\\", \\\"( {both_handed_sums_pct}% ) Left AND Right-Handed 8Knot Pendant Sums\\\", \\\"( {right_handed_sums_pct}% ) Only Right-Handed 8Knot Pendant Sums\\\"),\")\n", "\n", " print(f\"\\tvalue=c({num_khipus_with_all_pendant_sums}, {num_all_khipus-num_khipus_with_all_pendant_sums}, {num_all_pendant_sums_with_8knot_markers}, {num_khipus_with_all_pendant_sums-num_all_pendant_sums_with_8knot_markers}, {num_left_handed_8knot_pendant_sums}, {num_both_handed_8knot_pendant_sums}, {num_right_handed_8knot_pendant_sums})\")\n", "\n" ] }, { "cell_type": "markdown", "id": "d1b49c44", "metadata": {}, "source": [ "## 3.2 Viewers for Left-Handed and Right-Handed Eight Knot Ascher Sum Summaries\n", "\n", "Viewers are provided for the [Left-Handed](../fieldmarks/analyses/database/left_handed_eightknotsumsummary.html) Eight-Knot Sum Summary \"contingency table\" of sums marked by figure-8-knot cords and the corresponding [Right Handed](../fieldmarks/analyses/database/right_handed_eightknotsumsummary.html) Eight-Knot Sum Summary." ] }, { "cell_type": "code", "execution_count": 29, "id": "107dd898", "metadata": {}, "outputs": [], "source": [ "import tabulate\n", "\n", "def eight_knot_type_cord_totals(anEightKnotTypesDF, aTitle):\n", " total_edge_pendant_sole_8knot_cords = anEightKnotTypesDF['left_exact_pendant_8knot_cord_type_sole8knot'].sum() + anEightKnotTypesDF['right_exact_pendant_8knot_cord_type_sole8knot'].sum()\n", " total_edge_subsidiary_sole_8knot_cords = anEightKnotTypesDF['left_exact_subsidiary_8knot_cord_type_sole8knot'].sum() + anEightKnotTypesDF['right_exact_subsidiary_8knot_cord_type_sole8knot'].sum()\n", " total_edge_sole_8knot__cords = total_edge_pendant_sole_8knot_cords + total_edge_subsidiary_sole_8knot_cords\n", " total_close_pendant_sole_8knot_cords = anEightKnotTypesDF['left_close_pendant_8knot_cord_type_sole8knot'].sum() + anEightKnotTypesDF['right_close_pendant_8knot_cord_type_sole8knot'].sum()\n", " total_close_subsidiary_sole_8knot_cords = anEightKnotTypesDF['left_close_subsidiary_8knot_cord_type_sole8knot'].sum() + anEightKnotTypesDF['right_close_subsidiary_8knot_cord_type_sole8knot'].sum()\n", " total_close_sole_8_knot_cords = total_close_pendant_sole_8knot_cords + total_close_subsidiary_sole_8knot_cords\n", " total_sole_8knot_cords = anEightKnotTypesDF['total_sole8knots'].sum()\n", "\n", " total_edge_pendant_trailing_8knot_cords = anEightKnotTypesDF['left_exact_pendant_8knot_cord_type_trailing8knot'].sum() + anEightKnotTypesDF['right_exact_pendant_8knot_cord_type_trailing8knot'].sum()\n", " total_edge_subsidiary_trailing_8knot_cords = anEightKnotTypesDF['left_exact_subsidiary_8knot_cord_type_trailing8knot'].sum() + anEightKnotTypesDF['right_exact_subsidiary_8knot_cord_type_trailing8knot'].sum()\n", " total_edge_trailing_8knot_cords = total_edge_pendant_trailing_8knot_cords + total_edge_subsidiary_trailing_8knot_cords\n", " total_close_pendant_trailing_8knot_cords = anEightKnotTypesDF['left_close_pendant_8knot_cord_type_trailing8knot'].sum() + anEightKnotTypesDF['right_close_pendant_8knot_cord_type_trailing8knot'].sum()\n", " total_close_subsidiary_trailing_8knot_cords = anEightKnotTypesDF['left_close_subsidiary_8knot_cord_type_trailing8knot'].sum() + anEightKnotTypesDF['right_close_subsidiary_8knot_cord_type_trailing8knot'].sum()\n", " total_close_trailing_8knot_cords = total_close_pendant_trailing_8knot_cords + total_close_subsidiary_trailing_8knot_cords\n", " total_trailing_8knot_cords = total_edge_trailing_8knot_cords + total_close_trailing_8knot_cords\n", "\n", " total_num_8knot_cords = total_sole_8knot_cords + total_trailing_8knot_cords\n", "\n", " print(f\"\\n{aTitle}\\n{'='*len(aTitle)}\")\n", "\n", " knot_dict_columns = [\"8-KNOT CORD TYPE\", \"# 8Knot Cord Sum Markers\", \"# Edge Matches\", \"# Pendant Edge Matches\", \"# Subsidiary Edge Matches\", \"# Neighbor Matches\", \"# Neighbor Pendant Matches\", \"# Neighbor Subsidiary Matches\"]\n", " sole_8_knot_dict = {\"8-KNOT CORD TYPE\": \"SOLE 8KNOT CORDS\",\n", " \"# 8Knot Cord Sum Markers\": uloom.percent_info(total_sole_8knot_cords, total_num_8knot_cords),\n", " \"# Edge Matches\": uloom.percent_info(total_edge_sole_8knot__cords, total_sole_8knot_cords),\n", " \"# Pendant Edge Matches\": uloom.percent_info(total_edge_pendant_sole_8knot_cords, total_edge_sole_8knot__cords),\n", " \"# Subsidiary Edge Matches\": uloom.percent_info(total_edge_subsidiary_sole_8knot_cords, total_edge_sole_8knot__cords),\n", " \"# Neighbor Matches\": uloom.percent_info(total_close_sole_8_knot_cords, total_sole_8knot_cords),\n", " \"# Neighbor Pendant Matches\": uloom.percent_info(total_close_pendant_sole_8knot_cords, total_close_sole_8_knot_cords),\n", " \"# Neighbor Subsidiary Matches\": uloom.percent_info(total_close_subsidiary_sole_8knot_cords, total_close_sole_8_knot_cords)}\n", " trailing_8_knot_dict = {\"8-KNOT CORD TYPE\": \"TRAILING 8KNOT CORDS\",\n", " \"# 8Knot Cord Sum Markers\": uloom.percent_info(total_trailing_8knot_cords, total_num_8knot_cords),\n", " \"# Edge Matches\": uloom.percent_info(total_edge_trailing_8knot_cords, total_trailing_8knot_cords),\n", " \"# Pendant Edge Matches\": uloom.percent_info(total_edge_pendant_trailing_8knot_cords, total_edge_trailing_8knot_cords),\n", " \"# Subsidiary Edge Matches\": uloom.percent_info(total_edge_subsidiary_trailing_8knot_cords, total_edge_trailing_8knot_cords),\n", " \"# Neighbor Matches\": uloom.percent_info(total_close_trailing_8knot_cords, total_trailing_8knot_cords),\n", " \"# Neighbor Pendant Matches\": uloom.percent_info(total_close_pendant_trailing_8knot_cords, total_close_trailing_8knot_cords),\n", " \"# Neighbor Subsidiary Matches\": uloom.percent_info(total_close_subsidiary_trailing_8knot_cords, total_close_trailing_8knot_cords)\n", " }\n", " the_df = pd.DataFrame([sole_8_knot_dict, trailing_8_knot_dict], columns=knot_dict_columns)\n", " return the_df\n", "\n", "def eight_knot_type_khipu_totals(anEightKnotTypesDF, aTitle):\n", " total_edge_pendant_sole_8knot_cords = anEightKnotTypesDF['left_exact_pendant_8knot_cord_type_sole8knot'].sum() + anEightKnotTypesDF['right_exact_pendant_8knot_cord_type_sole8knot'].sum()\n", " total_edge_subsidiary_sole_8knot_cords = anEightKnotTypesDF['left_exact_subsidiary_8knot_cord_type_sole8knot'].sum() + anEightKnotTypesDF['right_exact_subsidiary_8knot_cord_type_sole8knot'].sum()\n", " total_edge_sole_8knot__cords = total_edge_pendant_sole_8knot_cords + total_edge_subsidiary_sole_8knot_cords\n", " total_close_pendant_sole_8knot_cords = anEightKnotTypesDF['left_close_pendant_8knot_cord_type_sole8knot'].sum() + anEightKnotTypesDF['right_close_pendant_8knot_cord_type_sole8knot'].sum()\n", " total_close_subsidiary_sole_8knot_cords = anEightKnotTypesDF['left_close_subsidiary_8knot_cord_type_sole8knot'].sum() + anEightKnotTypesDF['right_close_subsidiary_8knot_cord_type_sole8knot'].sum()\n", " total_close_sole_8_knot_cords = total_close_pendant_sole_8knot_cords + total_close_subsidiary_sole_8knot_cords\n", " total_sole_8knot_cords = anEightKnotTypesDF['total_sole8knots'].sum()\n", "\n", " total_edge_pendant_trailing_8knot_cords = anEightKnotTypesDF['left_exact_pendant_8knot_cord_type_trailing8knot'].sum() + anEightKnotTypesDF['right_exact_pendant_8knot_cord_type_trailing8knot'].sum()\n", " total_edge_subsidiary_trailing_8knot_cords = anEightKnotTypesDF['left_exact_subsidiary_8knot_cord_type_trailing8knot'].sum() + anEightKnotTypesDF['right_exact_subsidiary_8knot_cord_type_trailing8knot'].sum()\n", " total_edge_trailing_8knot_cords = total_edge_pendant_trailing_8knot_cords + total_edge_subsidiary_trailing_8knot_cords\n", " total_close_pendant_trailing_8knot_cords = anEightKnotTypesDF['left_close_pendant_8knot_cord_type_trailing8knot'].sum() + anEightKnotTypesDF['right_close_pendant_8knot_cord_type_trailing8knot'].sum()\n", " total_close_subsidiary_trailing_8knot_cords = anEightKnotTypesDF['left_close_subsidiary_8knot_cord_type_trailing8knot'].sum() + anEightKnotTypesDF['right_close_subsidiary_8knot_cord_type_trailing8knot'].sum()\n", " total_close_trailing_8knot_cords = total_close_pendant_trailing_8knot_cords + total_close_subsidiary_trailing_8knot_cords\n", " total_trailing_8knot_cords = total_edge_trailing_8knot_cords + total_close_trailing_8knot_cords\n", "\n", " total_num_8knot_cords = total_sole_8knot_cords + total_trailing_8knot_cords\n", "\n", " print(f\"\\n{aTitle}\\n{'='*len(aTitle)}\")\n", "\n", " knot_dict_columns = [\"8-KNOT CORD TYPE\", \"# 8Knot Cord Sum Markers\", \"# Edge Matches\", \"# Neighbor Matches\", \"# Pendant Edge Matches\", \"# Subsidiary Edge Matches\", \"# Neighbor Pendant Matches\", \"# Neighbor Subsidiary Matches\"]\n", " sole_8_knot_dict = {\"8-KNOT CORD TYPE\": \"SOLE 8KNOT CORDS\",\n", " \"# 8Knot Cord Sum Markers\": uloom.percent_info(total_sole_8knot_cords, total_num_8knot_cords),\n", " \"# Edge Matches\": uloom.percent_info(total_edge_sole_8knot__cords, total_sole_8knot_cords),\n", " \"# Pendant Edge Matches\": uloom.percent_info(total_edge_pendant_sole_8knot_cords, total_edge_sole_8knot__cords),\n", " \"# Subsidiary Edge Matches\": uloom.percent_info(total_edge_subsidiary_sole_8knot_cords, total_edge_sole_8knot__cords),\n", " \"# Neighbor Matches\": uloom.percent_info(total_close_sole_8_knot_cords, total_sole_8knot_cords),\n", " \"# Neighbor Pendant Matches\": uloom.percent_info(total_close_pendant_sole_8knot_cords, total_close_sole_8_knot_cords),\n", " \"# Neighbor Subsidiary Matches\": uloom.percent_info(total_close_subsidiary_sole_8knot_cords, total_close_sole_8_knot_cords)}\n", " trailing_8_knot_dict = {\"8-KNOT CORD TYPE\": \"TRAILING 8KNOT CORDS\",\n", " \"# 8Knot Cord Sum Markers\": uloom.percent_info(total_trailing_8knot_cords, total_num_8knot_cords),\n", " \"# Edge Matches\": uloom.percent_info(total_edge_trailing_8knot_cords, total_trailing_8knot_cords),\n", " \"# Pendant Edge Matches\": uloom.percent_info(total_edge_pendant_trailing_8knot_cords, total_edge_trailing_8knot_cords),\n", " \"# Subsidiary Edge Matches\": uloom.percent_info(total_edge_subsidiary_trailing_8knot_cords, total_edge_trailing_8knot_cords),\n", " \"# Neighbor Matches\": uloom.percent_info(total_close_trailing_8knot_cords, total_trailing_8knot_cords),\n", " \"# Neighbor Pendant Matches\": uloom.percent_info(total_close_pendant_trailing_8knot_cords, total_close_trailing_8knot_cords),\n", " \"# Neighbor Subsidiary Matches\": uloom.percent_info(total_close_subsidiary_trailing_8knot_cords, total_close_trailing_8knot_cords)\n", " }\n", " the_df = pd.DataFrame([sole_8_knot_dict, trailing_8_knot_dict], columns=knot_dict_columns)\n", " return the_df\n", "\n", "def print_eight_knot_type_totals(aDF, table_format='html'):\n", " if table_format == 'html':\n", " the_html_rep = tabulate.tabulate(aDF, headers='keys', tablefmt='html') \n", " the_html_rep = the_html_rep.replace(\"\", \"
\") \n", " the_html_rep = the_html_rep.replace(\"\", \"\", count=1) \n", " print(the_html_rep)\n", " elif table_format == 'markdown':\n", " print(aDF.to_markdown(index=False)) \n", " else:\n", " the_html_rep = tabulate.tabulate(aDF, headers='keys', tablefmt=table_format) \n", " print(the_html_rep)\n", "\n", "do_print = False\n", "if do_print:\n", " lh_8knotsums_cords_total_df = eight_knot_type_cord_totals(left_handed_eight_knot_types_df, \"Summary of Left-Handed Eight Knot Ascher Sum Types\")\n", " print_eight_knot_type_totals(lh_8knotsums_cords_total_df, table_format='html')\n", " rh_8knotsums_cords_total_df = eight_knot_type_cord_totals(right_handed_eight_knot_types_df, \"Summary of Right-Handed Eight Knot Ascher Sum Types\") \n", " print_eight_knot_type_totals(rh_8knotsums_cords_total_df, table_format='html')\n" ] }, { "cell_type": "markdown", "id": "2f04715e", "metadata": {}, "source": [ "## 3.3 Summary of Left-Handed and Right Handed Eight Knot Ascher Sum Types\n", "\n", "### 3.3.1 Left-Handed Eight Knot Ascher Sums Summary\n", "\n", "\n", "Summary of Left-Handed Eight Knot Ascher Sum Types\n", "==================================================\n", "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
8-KNOT CORD TYPE # 8Knot Cord Sum Markers # Edge Matches # Pendant Edge Matches # Subsidiary Edge Matches # Neighbor Matches # Neighbor Pendant Matches # Neighbor Subsidiary Matches
0SOLE 8KNOT CORDS 59% (2346 of 3969) 56% (1312 of 2346)66% (867 of 1312) 34% (445 of 1312) 44% (1034 of 2346) 59% (611 of 1034) 41% (423 of 1034)
1TRAILING 8KNOT CORDS41% (1623 of 3969) 56% (909 of 1623) 88% (796 of 909) 12% (113 of 909) 44% (714 of 1623) 84% (599 of 714) 16% (115 of 714)
\n", "\n", "\n", "### 3.3.2 Right-Handed Eight Knot Ascher Sums Summary\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
8-KNOT CORD TYPE # 8Knot Cord Sum Markers # Edge Matches # Pendant Edge Matches # Subsidiary Edge Matches # Neighbor Matches # Neighbor Pendant Matches # Neighbor Subsidiary Matches
0SOLE 8KNOT CORDS 58% (2997 of 5156) 54% (1613 of 2997)58% (928 of 1613) 42% (685 of 1613) 46% (1384 of 2997) 51% (709 of 1384) 49% (675 of 1384)
1TRAILING 8KNOT CORDS42% (2159 of 5156) 51% (1107 of 2159)86% (951 of 1107) 14% (156 of 1107) 49% (1052 of 2159) 83% (873 of 1052) 17% (179 of 1052)
" ] }, { "cell_type": "markdown", "id": "595b4050", "metadata": {}, "source": [ "# 4.0 Sankey Diagram of Figure-8-Knot Sum Cords by Type" ] }, { "cell_type": "code", "execution_count": 30, "id": "09a45668", "metadata": {}, "outputs": [], "source": [ "num_all_khipus = len(all_khipus)\n", "num_khipus_with_pendant_ascher_sums = pendant_ascher_sums_df['kfg_name'].nunique()\n", "\n", "only_eight_knot_ascher_sums_df = pendant_ascher_sums_df[pendant_ascher_sums_df['has_figure8knot_indicator']] \n", "num_khipus_with_figure8knot_pendant_ascher_sums = only_eight_knot_ascher_sums_df['kfg_name'].nunique()\n", "\n", "left_handed_8knotsum_khipus_df = only_eight_knot_ascher_sums_df[only_eight_knot_ascher_sums_df['handedness'] < 0]\n", "right_handed_8knotsum_khipus_df = only_eight_knot_ascher_sums_df[only_eight_knot_ascher_sums_df['handedness'] >= 0]\n", "\n", "num_left_handed_8knotsum_khipus = left_handed_8knotsum_khipus_df['kfg_name'].nunique()\n", "num_right_handed_8knotsum_khipus = right_handed_8knotsum_khipus_df['kfg_name'].nunique()\n", "left_handed_khipus = set(left_handed_8knotsum_khipus_df['kfg_name'])\n", "right_handed_khipus = set(right_handed_8knotsum_khipus_df['kfg_name'])\n", "\n", "num_left_only_8knotsum_khipus = len(left_handed_khipus - right_handed_khipus)\n", "num_left_and_right_8knotsum_khipus = len(left_handed_khipus.intersection(right_handed_khipus))\n", "num_right_only_8knotsum_khipus = len(right_handed_khipus - left_handed_khipus)\n", "\n", "do_print = False\n", "if do_print:\n", " print(f\"# of Khipus: {num_all_khipus}\")\n", " print(f\"# of Khipus with All Pendant Ascher Sums: {num_khipus_with_pendant_ascher_sums}\")\n", " print(f\"# of Khipus with All Pendant Ascher Sums marked by Figure-8 Knots: {uloom.percent_info(num_khipus_with_figure8knot_pendant_ascher_sums, num_khipus_with_pendant_ascher_sums)}\")\n", " print(f\"# of Khipus with All Left-Handed Pendant Ascher Sums marked by Figure-8 Knots: {uloom.percent_info(num_left_handed_8knotsum_khipus, num_khipus_with_figure8knot_pendant_ascher_sums)}\")\n", " print(f\"# of Khipus with All Right-Handed Pendant Ascher Sums marked by Figure-8 Knots: {uloom.percent_info(num_right_handed_8knotsum_khipus, num_khipus_with_figure8knot_pendant_ascher_sums)}\")\n", " print(f\"# of Khipus with All Left-Only Pendant Ascher Sums marked by Figure-8 Knots: {uloom.percent_info(num_left_only_8knotsum_khipus, num_khipus_with_figure8knot_pendant_ascher_sums)}\")\n", " print(f\"# of Khipus with All Left & Right Pendant Ascher Sums marked by Figure-8 Knots: {uloom.percent_info(num_left_and_right_8knotsum_khipus, num_khipus_with_figure8knot_pendant_ascher_sums)}\")\n", " print(f\"# of Khipus with All Right-Only Pendant Ascher Sums marked by Figure-8 Knots: {uloom.percent_info(num_right_only_8knotsum_khipus, num_khipus_with_figure8knot_pendant_ascher_sums)}\")\n" ] }, { "cell_type": "code", "execution_count": 31, "id": "a6ebd3ae", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ALL Figure-8 Knot Pendant Sums: 5751\n", "# ONLY Sole-8-Knot Pendant Sums: 48% (2753 of 5751)\n", "\t# Sole-8-Knot Edge Match Pendant Sums: 71% (1943 of 2753)\n", "\t\t# Pendant Sums: 72% (1405 of 1943)\n", "\t\t# Subsidiary Sums: 28% (538 of 1943)\n", "\t# Sole-8-Knot Close Match Pendant Sums: 29% (810 of 2753)\n", "\t\t# Pendant Sums: 62% (506 of 810)\n", "\t\t# Subsidiary Sums: 38% (304 of 810)\n", "# BOTH Sole-8-Knot and Trailing-8-Knot Pendant Sums: 13% (762 of 5751)\n", "\t# Both-8-Knot Edge Pendant Sums: 88% (670 of 762)\n", "\t\t# Pendant Sums: 76% (507 of 670)\n", "\t\t# Subsidiary Sums: 24% (163 of 670)\n", "\t# Both-8-Knot Only Close Match Pendant Sums: 12% (92 of 762)\n", "\t\t# Pendant Sums: 89% (82 of 92)\n", "\t\t# Subsidiary Sums: 11% (10 of 92)\n", "# ONLY Trailing-8-Knot Pendant Pendant Sums: 38% (2181 of 5751)\n", "\t# Trailing-8-Knot Edge Pendant Sums: 64% (1385 of 2181)\n", "\t\t# Pendant Sums: 91% (1265 of 1385)\n", "\t\t# Subsidiary Sums: 9% (120 of 1385)\n", "\t# Trailing-8-Knot Only Close Pendant Ascher Sums: 36% (796 of 2181)\n", "\t\t# Pendant Sums: 90% (719 of 796)\n", "\t\t# Subsidiary Sums: 10% (77 of 796)\n", "# Other Eight-Knot Ascher Sums: 1% (55 of 5751)\n" ] } ], "source": [ "def has_sole_knot(aRow):\n", " return ((aRow['left_exact_pendant_8knot_cord_type'] == 'sole_8knot') or\n", " (aRow['right_exact_pendant_8knot_cord_type'] == 'sole_8knot') or\n", " (aRow['left_exact_subsidiary_8knot_cord_type'] == 'sole_8knot') or\n", " (aRow['right_exact_subsidiary_8knot_cord_type'] == 'sole_8knot') or\n", " (aRow['left_close_pendant_8knot_cord_type'] == 'sole_8knot') or\n", " (aRow['right_close_pendant_8knot_cord_type'] == 'sole_8knot') or\n", " (aRow['left_close_subsidiary_8knot_cord_type'] == 'sole_8knot') or\n", " (aRow['right_close_subsidiary_8knot_cord_type'] == 'sole_8knot'))\n", "\n", "def has_trailing_knot(aRow):\n", " return ((aRow['left_exact_pendant_8knot_cord_type'] == 'trailing_8knot') or\n", " (aRow['right_exact_pendant_8knot_cord_type'] == 'trailing_8knot') or\n", " (aRow['left_exact_subsidiary_8knot_cord_type'] == 'trailing_8knot') or\n", " (aRow['right_exact_subsidiary_8knot_cord_type'] == 'trailing_8knot') or\n", " (aRow['left_close_pendant_8knot_cord_type'] == 'trailing_8knot') or\n", " (aRow['right_close_pendant_8knot_cord_type'] == 'trailing_8knot') or\n", " (aRow['left_close_subsidiary_8knot_cord_type'] == 'trailing_8knot') or\n", " (aRow['right_close_subsidiary_8knot_cord_type'] == 'trailing_8knot'))\n", "\n", "def has_edge_match(aRow):\n", " return (aRow['has_left_exact_8knot_cord'] or aRow['has_right_exact_8knot_cord'])\n", "\n", "def has_close_match(aRow):\n", " return (aRow['has_left_close_8knot_cord'] or aRow['has_right_close_8knot_cord'])\n", "\n", "def has_pendant_edge_match(aRow):\n", " return has_edge_match(aRow) and ((len(aRow['left_exact_pendant_8knot_cord_name'])>0) or (len(aRow['right_exact_pendant_8knot_cord_name'])>0))\n", "\n", "def has_subsidiary_edge_match(aRow):\n", " return (has_edge_match(aRow) and \n", " not(has_pendant_edge_match(aRow)) and\n", " ((len(aRow['left_exact_subsidiary_8knot_cord_names'])>0) or (len(aRow['right_exact_subsidiary_8knot_cord_names'])>0)))\n", "\n", "def has_pendant_close_match(aRow):\n", " return (not (has_edge_match(aRow)) and \n", " has_close_match(aRow) and \n", " ((len(aRow['left_close_pendant_cord_names'])>0) or (len(aRow['right_close_pendant_cord_names'])>0)))\n", "\n", "def has_subsidiary_close_match(aRow):\n", " return (not (has_edge_match(aRow)) and \n", " has_close_match(aRow) and \n", " (not has_pendant_close_match(aRow)) and \n", " ((len(aRow['left_close_subsidiary_8knot_cord_names'])>0) or (len(aRow['right_close_subsidiary_8knot_cord_names'])>0)))\n", "\n", "# LEVEL 0\n", "num_fig8knot_ascher_sums = only_eight_knot_ascher_sums_df.shape[0]\n", "\n", "# LEVEL 1 - SOLE-8-KNOT, BOTH-8-KNOT, TRAILING-8-KNOT\n", "sole8knot_sum__mask = [has_sole_knot(row) for _, row in pendant_ascher_sums_df.iterrows()]\n", "trailing8knot_sum_mask = [has_trailing_knot(row) for _, row in pendant_ascher_sums_df.iterrows()]\n", "\n", "only_sole8knot_sum__mask = [(has_sole_knot(row) and (not has_trailing_knot(row))) for _, row in pendant_ascher_sums_df.iterrows()]\n", "both8knot_sum__mask = [(has_sole_knot(row) and has_trailing_knot(row)) for _, row in pendant_ascher_sums_df.iterrows()]\n", "only_trailing8knot_sum__mask = [((not has_sole_knot(row)) and has_trailing_knot(row)) for _, row in pendant_ascher_sums_df.iterrows()]\n", "\n", "only_sole8knot_sum_df = pendant_ascher_sums_df[only_sole8knot_sum__mask]\n", "both8knot_sum_df = pendant_ascher_sums_df[both8knot_sum__mask]\n", "only_trailing8knot_sum_df = pendant_ascher_sums_df[only_trailing8knot_sum__mask]\n", "\n", "num_only_sole8knot_ascher_sums = sum(only_sole8knot_sum__mask)\n", "num_both8knot_ascher_sums = sum(both8knot_sum__mask)\n", "num_only_trailing8knot_ascher_sums = sum(only_trailing8knot_sum__mask)\n", "\n", "# LEVEL 2 - EDGE vs CLOSE\n", "\n", "# 2.1\n", "edges_only_sole8knot_sum_mask = [has_edge_match(row) for _, row in only_sole8knot_sum_df.iterrows()] \n", "edges_only_sole8knot_sum_df = only_sole8knot_sum_df[edges_only_sole8knot_sum_mask]\n", "num_edges_only_sole8knot_sums = sum(edges_only_sole8knot_sum_mask)\n", "close_only_sole8knot_sum_mask = [((not has_edge_match(row)) and has_close_match(row)) for _, row in only_sole8knot_sum_df.iterrows()]\n", "close_only_sole8knot_sum_df = only_sole8knot_sum_df[close_only_sole8knot_sum_mask]\n", "num_close_only_sole8knot_sums = sum(close_only_sole8knot_sum_mask)\n", "\n", "# 2.2\n", "edges_both8knot_sum_mask = [has_edge_match(row) for _, row in both8knot_sum_df.iterrows()] \n", "edges_both8knot_sum_df = both8knot_sum_df[edges_both8knot_sum_mask]\n", "close_both8knot_sum_mask = [((not has_edge_match(row)) and has_close_match(row)) for _, row in both8knot_sum_df.iterrows()]\n", "close_both8knot_sum_df = both8knot_sum_df[close_both8knot_sum_mask]\n", "num_edges_both8knot_sums = sum(edges_both8knot_sum_mask)\n", "num_close_both8knot_sums = sum(close_both8knot_sum_mask)\n", "\n", "# 2.3\n", "edges_only_trailing8knot_sum_mask = [has_edge_match(row) for _, row in only_trailing8knot_sum_df.iterrows()] \n", "edges_only_trailing8knot_sum_df = only_trailing8knot_sum_df[edges_only_trailing8knot_sum_mask]\n", "close_only_trailing8knot_sum_mask = [((not has_edge_match(row)) and has_close_match(row)) for _, row in only_trailing8knot_sum_df.iterrows()]\n", "close_only_trailing8knot_sum_df = only_trailing8knot_sum_df[close_only_trailing8knot_sum_mask]\n", "num_edges_only_trailing8knot_edge_match_sums = sum(edges_only_trailing8knot_sum_mask)\n", "num_close_only_trailing8knot_edge_match_sums = sum(close_only_trailing8knot_sum_mask)\n", "\n", "# LEVEL 3\n", "# 3.1\n", "pendant_edges_only_sole8knot_sum_mask = [has_pendant_edge_match(row) for _, row in edges_only_sole8knot_sum_df.iterrows()] \n", "subsidiary_edges_only_sole8knot_sum_mask = [has_subsidiary_edge_match(row) for _, row in edges_only_sole8knot_sum_df.iterrows()] \n", "num_pendant_edges_only_sole8knot_sums = sum(pendant_edges_only_sole8knot_sum_mask)\n", "num_subsidiary_edges_only_sole8knot_sums = sum(subsidiary_edges_only_sole8knot_sum_mask)\n", "\n", "pendant_close_only_sole8knot_sum_mask = [has_pendant_close_match(row) for _, row in close_only_sole8knot_sum_df.iterrows()] \n", "num_pendant_close_only_sole8knot_sums = sum(pendant_close_only_sole8knot_sum_mask)\n", "subsidiary_close_only_sole8knot_sum_mask = [has_subsidiary_close_match(row) for _, row in close_only_sole8knot_sum_df.iterrows()]\n", "num_subsidiary_close_only_sole8knot_sums = sum(subsidiary_close_only_sole8knot_sum_mask)\n", "\n", "# 3.2\n", "pendant_edges_both8knot_sum_mask = [has_pendant_edge_match(row) for _, row in edges_both8knot_sum_df.iterrows()] \n", "subsidiary_edges_both8knot_sum_mask = [has_subsidiary_edge_match(row) for _, row in edges_both8knot_sum_df.iterrows()] \n", "num_pendant_edges_both8knot_sums = sum(pendant_edges_both8knot_sum_mask)\n", "num_subsidiary_edges_both8knot_sums = sum(subsidiary_edges_both8knot_sum_mask)\n", "\n", "pendant_close_both8knot_sum_mask = [has_pendant_close_match(row) for _, row in close_both8knot_sum_df.iterrows()] \n", "subsidiary_close_both8knot_sum_mask = [has_subsidiary_close_match(row) for _, row in close_both8knot_sum_df.iterrows()]\n", "num_pendant_close_both8knot_sums = sum(pendant_close_both8knot_sum_mask)\n", "num_subsidiary_close_both8knot_sums = sum(subsidiary_close_both8knot_sum_mask)\n", "\n", "# 3.3\n", "pendant_edges_only_trailing8knot_sum_mask = [has_pendant_edge_match(row) for _, row in edges_only_trailing8knot_sum_df.iterrows()]\n", "subsidiary_edges_only_trailing8knot_sum_mask = [has_subsidiary_edge_match(row) for _, row in edges_only_trailing8knot_sum_df.iterrows()]\n", "num_pendant_edges_only_trailing8knot_sums = sum(pendant_edges_only_trailing8knot_sum_mask)\n", "num_subsidiary_edges_only_trailing8knot_sums = sum(subsidiary_edges_only_trailing8knot_sum_mask)\n", "\n", "pendant_close_only_trailing8knot_sum_mask = [has_pendant_close_match(row) for _, row in close_only_trailing8knot_sum_df.iterrows()] \n", "subsidiary_close_only_trailing8knot_sum_mask = [has_subsidiary_close_match(row) for _, row in close_only_trailing8knot_sum_df.iterrows()]\n", "num_pendant_close_only_trailing8knot_sums = sum(pendant_close_only_trailing8knot_sum_mask)\n", "num_subsidiary_close_only_trailing8knot_sums = sum(subsidiary_close_only_trailing8knot_sum_mask)\n", "\n", "do_print = True\n", "if do_print:\n", " print(f\"ALL Figure-8 Knot Pendant Sums: {num_fig8knot_ascher_sums}\") \n", " print(f\"# ONLY Sole-8-Knot Pendant Sums: {uloom.percent_info(num_only_sole8knot_ascher_sums, num_fig8knot_ascher_sums)}\")\n", " print(f\"\\t# Sole-8-Knot Edge Match Pendant Sums: {uloom.percent_info(num_edges_only_sole8knot_sums, num_only_sole8knot_ascher_sums)}\")\n", " print(f\"\\t\\t# Pendant Sums: {uloom.percent_info(num_pendant_edges_only_sole8knot_sums, num_edges_only_sole8knot_sums)}\")\n", " print(f\"\\t\\t# Subsidiary Sums: {uloom.percent_info(num_subsidiary_edges_only_sole8knot_sums, num_edges_only_sole8knot_sums)}\")\n", " print(f\"\\t# Sole-8-Knot Close Match Pendant Sums: {uloom.percent_info(num_close_only_sole8knot_sums, num_only_sole8knot_ascher_sums)}\")\n", " print(f\"\\t\\t# Pendant Sums: {uloom.percent_info(num_pendant_close_only_sole8knot_sums, num_close_only_sole8knot_sums)}\")\n", " print(f\"\\t\\t# Subsidiary Sums: {uloom.percent_info(num_subsidiary_close_only_sole8knot_sums, num_close_only_sole8knot_sums)}\")\n", " \n", " print(f\"# BOTH Sole-8-Knot and Trailing-8-Knot Pendant Sums: {uloom.percent_info(num_both8knot_ascher_sums, num_fig8knot_ascher_sums)}\")\n", " print(f\"\\t# Both-8-Knot Edge Pendant Sums: {uloom.percent_info(num_edges_both8knot_sums, num_both8knot_ascher_sums)}\")\n", " print(f\"\\t\\t# Pendant Sums: {uloom.percent_info(num_pendant_edges_both8knot_sums, num_edges_both8knot_sums)}\")\n", " print(f\"\\t\\t# Subsidiary Sums: {uloom.percent_info(num_subsidiary_edges_both8knot_sums, num_edges_both8knot_sums)}\")\n", " print(f\"\\t# Both-8-Knot Only Close Match Pendant Sums: {uloom.percent_info(num_close_both8knot_sums, num_both8knot_ascher_sums)}\")\n", " print(f\"\\t\\t# Pendant Sums: {uloom.percent_info(num_pendant_close_both8knot_sums, num_close_both8knot_sums)}\")\n", " print(f\"\\t\\t# Subsidiary Sums: {uloom.percent_info(num_subsidiary_close_both8knot_sums, num_close_both8knot_sums)}\")\n", " \n", " print(f\"# ONLY Trailing-8-Knot Pendant Pendant Sums: {uloom.percent_info(num_only_trailing8knot_ascher_sums, num_fig8knot_ascher_sums)}\")\n", " print(f\"\\t# Trailing-8-Knot Edge Pendant Sums: {uloom.percent_info(num_edges_only_trailing8knot_edge_match_sums, num_only_trailing8knot_ascher_sums)}\")\n", " print(f\"\\t\\t# Pendant Sums: {uloom.percent_info(num_pendant_edges_only_trailing8knot_sums, num_edges_only_trailing8knot_edge_match_sums)}\")\n", " print(f\"\\t\\t# Subsidiary Sums: {uloom.percent_info(num_subsidiary_edges_only_trailing8knot_sums, num_edges_only_trailing8knot_edge_match_sums)}\")\n", " print(f\"\\t# Trailing-8-Knot Only Close Pendant Ascher Sums: {uloom.percent_info(num_close_only_trailing8knot_edge_match_sums, num_only_trailing8knot_ascher_sums)}\")\n", " print(f\"\\t\\t# Pendant Sums: {uloom.percent_info(num_pendant_close_only_trailing8knot_sums, num_close_only_trailing8knot_edge_match_sums)}\")\n", " print(f\"\\t\\t# Subsidiary Sums: {uloom.percent_info(num_subsidiary_close_only_trailing8knot_sums, num_close_only_trailing8knot_edge_match_sums)}\")\n", " print(f\"# Other Eight-Knot Ascher Sums: {uloom.percent_info(num_fig8knot_ascher_sums - (num_only_sole8knot_ascher_sums + num_both8knot_ascher_sums + num_only_trailing8knot_ascher_sums), num_fig8knot_ascher_sums)}\")" ] }, { "cell_type": "code", "execution_count": 32, "id": "2fdbc34c", "metadata": {}, "outputs": [], "source": [ "# Code to generate R Sankey diagram source code\n", "# See src/R_src/figure8knot_sumcords_sankey_2.R\n", "\n", "do_make_sumcords_sankey_diagram = False\n", "if do_make_sumcords_sankey_diagram:\n", "\tn_T = num_fig8knot_ascher_sums\t\t\n", "\tn_A = num_only_sole8knot_ascher_sums\n", "\tn_B = num_both8knot_ascher_sums\n", "\tn_C = num_only_trailing8knot_ascher_sums\n", "\tn_D = num_fig8knot_ascher_sums - (num_only_sole8knot_ascher_sums + num_both8knot_ascher_sums + num_only_trailing8knot_ascher_sums)\n", "\tn_A1 = num_edges_only_sole8knot_sums\n", "\tn_A2 = num_close_only_sole8knot_sums\n", "\tn_A11 = num_pendant_edges_only_sole8knot_sums\n", "\tn_A12 = num_subsidiary_edges_only_sole8knot_sums\t\n", "\tn_A21 = num_pendant_close_only_sole8knot_sums\n", "\tn_A22 = num_subsidiary_close_only_sole8knot_sums\n", "\tn_B1 = num_edges_both8knot_sums\n", "\tn_B2 = num_close_both8knot_sums\n", "\tn_B11 = num_pendant_edges_both8knot_sums\n", "\tn_B12 = num_subsidiary_edges_both8knot_sums\n", "\tn_B21 = num_pendant_close_both8knot_sums\n", "\tn_B22 = num_subsidiary_close_both8knot_sums\n", "\tn_C1 = num_edges_only_trailing8knot_edge_match_sums\n", "\tn_C2 = num_close_only_trailing8knot_edge_match_sums\n", "\tn_C11 = num_pendant_edges_only_trailing8knot_sums\n", "\tn_C12 = num_subsidiary_edges_only_trailing8knot_sums\n", "\tn_C21 = num_pendant_close_only_trailing8knot_sums\n", "\tn_C22 = num_subsidiary_close_only_trailing8knot_sums\n", "\n", "\tdef pct(n, d): return int(round(100.0 * float(n) / float(d), 0))\n", "\n", "\tT = f\"# of 8Knot Pendant Sums ( {n_T} )\"\n", "\tA = f\"( {pct(n_A, n_T)}% ) ONLY Sole-8-Knot Pendant Sums\"\n", "\tB = f\"( {pct(n_B, n_T)}% ) Sole AND Trailing-8-Knot Pendant Sums\"\n", "\tC = f\"( {pct(n_C, n_T)}% ) ONLY Trailing-8-Knot Pendant Sums\"\n", "\tD = f\"( {pct(n_D, n_T)}% ) Other 8-Knot Pendant Sums\"\n", "\tA1 = f\"( {pct(n_A1, n_A)}% ) ONLY Sole Edge 8Knot Markers\"\n", "\tA2 = f\"( {pct(n_A2, n_A)}% ) ONLY Sole Neighbor 8Knot Markers\"\n", "\tA11 = f\"( {pct(n_A11, n_A1)}% ) ONLY Sole-8-Knot Pendant Edge 8Knot Markers\"\n", "\tA12 = f\"( {pct(n_A12, n_A1)}% ) ONLY Sole-8-Knot Subsidiary Edge 8Knot Markers\"\n", "\tA21 = f\"( {pct(n_A21, n_A2)}% ) ONLY Sole-8-Knot Pendant Neighbor 8Knot Markers\"\n", "\tA22 = f\"( {pct(n_A22, n_A2)}% ) ONLY Sole-8-Knot Subsidiary Neighbor 8Knot Markers\"\n", "\tB1 = f\"( {pct(n_B1, n_B)}% ) Sole & Trailing Edge 8Knot Markers\"\n", "\tB2 = f\"( {pct(n_B2, n_B)}% ) Sole & Trailing Neighbor 8Knot Markers\"\n", "\tB11 = f\"( {pct(n_B11, n_B1)}% ) Sole & Trailing Pendant Edge 8Knot Markers\"\n", "\tB12 = f\"( {pct(n_B12, n_B1)}% ) Sole & Trailing Subsidiary Edge 8Knot Markers\"\n", "\tB21 = f\"( {pct(n_B21, n_B2)}% ) Sole & Trailing Pendant Neighbor 8Knot Markers\"\n", "\tB22 = f\"( {pct(n_B22, n_B2)}% ) Sole & Trailing Subsidiary Neighbor 8Knot Markers\"\n", "\tC1 = f\"( {pct(n_C1, n_C)}% ) ONLY Trailing Edge 8Knot Markers\"\n", "\tC2 = f\"( {pct(n_C2, n_C)}% ) ONLY Trailing Neighbor 8Knot Markers\"\n", "\tC11 = f\"( {pct(n_C11, n_C1)}% ) ONLY Trailing Pendant Edge 8Knot Markers\"\n", "\tC12 = f\"( {pct(n_C12, n_C1)}% ) ONLY Trailing Subsidiary Edge 8Knot Markers\"\n", "\tC21 = f\"( {pct(n_C21, n_C2)}% ) ONLY Trailing Pendant Neighbor 8Knot Markers\"\n", "\tC22 = f\"( {pct(n_C22, n_C2)}% ) ONLY Trailing Subsidiary Neighbor 8Knot Markers\"\n", "\n", "\n", "\tprint(f\"\\tsource = c(\\\"{T}\\\", \\\"{T}\\\", \\\"{T}\\\", \\\"{T}\\\",\")\n", "\tprint(f\"\\t\\t\\\"{A}\\\", \\\"{A}\\\",\")\n", "\tprint(f\"\\t\\t\\\"{A1}\\\", \\\"{A1}\\\", \\\"{A2}\\\", \\\"{A2}\\\",\")\n", "\tprint(f\"\\t\\t\\\"{B}\\\", \\\"{B}\\\",\")\n", "\tprint(f\"\\t\\t\\\"{B1}\\\", \\\"{B1}\\\", \\\"{B2}\\\", \\\"{B2}\\\",\")\n", "\tprint(f\"\\t\\t\\\"{C}\\\", \\\"{C}\\\",\")\n", "\tprint(f\"\\t\\t\\\"{C1}\\\", \\\"{C1}\\\", \\\"{C2}\\\", \\\"{C2}\\\"),\")\t\n", "\tprint(f\"\\ttarget = c(\\\"{A}\\\", \\\"{B}\\\", \\\"{C}\\\", \\\"{D}\\\",\")\n", "\tprint(f\"\\t\\t\\\"{A1}\\\", \\\"{A2}\\\",\")\n", "\tprint(f\"\\t\\t\\\"{A11}\\\", \\\"{A12}\\\", \\\"{A21}\\\", \\\"{A22}\\\",\")\n", "\tprint(f\"\\t\\t\\\"{B1}\\\", \\\"{B2}\\\",\")\t\n", "\tprint(f\"\\t\\t\\\"{B11}\\\", \\\"{B12}\\\", \\\"{B21}\\\", \\\"{B22}\\\",\")\n", "\tprint(f\"\\t\\t\\\"{C1}\\\", \\\"{C2}\\\",\")\t\n", "\tprint(f\"\\t\\t\\\"{C11}\\\", \\\"{C12}\\\", \\\"{C21}\\\", \\\"{C22}\\\"),\")\n", "\tprint(f\"\\tvalue=c({n_A}, {n_B}, {n_C}, {n_D},\")\t\n", "\tprint(f\"\\t\\t{n_A1}, {n_A2},\")\t\n", "\tprint(f\"\\t\\t{n_A11}, {n_A12}, {n_A21}, {n_A22},\")\n", "\tprint(f\"\\t\\t{n_B1}, {n_B2},\")\n", "\tprint(f\"\\t\\t{n_B11}, {n_B12}, {n_B21}, {n_B22},\")\n", "\tprint(f\"\\t\\t{n_C1}, {n_C2},\")\n", "\tprint(f\"\\t\\t{n_C11}, {n_C12}, {n_C21}, {n_C22})\")\n", "\n", "\t# Print color codes for nodes\n", "\tprint(\"\\n# Color codes for nodes:\")\n", "\tprint(f\"\\tname == \\\"{T}\\\" ~ \\\"{T}\\\",\")\n", "\tprint(f\"\\tname %in% c(\\\"{A}\\\",\\\"{B}\\\",\\\"{C}\\\",\\\"{D}\\\") ~ name,\")\n", "\tprint(f\"\\tname %in% c(\\\"{A1}\\\", \\\"{A2}\\\",\\\"{A11}\\\", \\\"{A12}\\\", \\\"{A21}\\\", \\\"{A22}\\\") ~ \\\"{A}\\\",\")\n", "\tprint(f\"\\tname %in% c(\\\"{B1}\\\", \\\"{B2}\\\",\\\"{B11}\\\", \\\"{B12}\\\", \\\"{B21}\\\", \\\"{B22}\\\") ~ \\\"{B}\\\",\")\n", "\tprint(f\"\\tname %in% c(\\\"{C1}\\\", \\\"{C2}\\\",\\\"{C11}\\\", \\\"{C12}\\\", \\\"{C21}\\\", \\\"{C22}\\\") ~ \\\"{C}\\\",\")\n", "\n", "\tprint(f\"\\nABCD = c(\\\"{A}\\\",\\\"{B}\\\",\\\"{C}\\\",\\\"{D}\\\")\")\n" ] }, { "cell_type": "markdown", "id": "437a6bc8", "metadata": {}, "source": [ "Finally we are ready to encapsulate this as Sankey diagrams: \n", "\n", "## 4.1 Figure8Knot Sums by Percentage of Khipus\n", "\n", "Click on image to view larger\n", "\"Figure8Knot

\n", "\n", "## 4.2 Figure8Knot Sums by Percentage of All Pendant Ascher Sums\n", "\n", "Click on image to view larger\n", "\"Figure8Knot

\n" ] }, { "cell_type": "markdown", "id": "6261744c", "metadata": {}, "source": [ "# 5.0 - Diagrammatic Representations of the Ascher Summand Ranges by Figure-8 Knots\n", "\n", "We can build a *summand map* of Ascher Sums marked by Figure8Knots for Left and Right-Handed Sums. For example here is a zoomed in snapshot of the summand map for [Right-Handed Sums for KH0143](../fieldmarks/pendant_pendant_sum/wormmaps/sketches/KH0143_R.jpg) showing the relationships between Figure-8-Knots, their types, and the Ascher Summand regions.\n", "\n", "\n", " \"\"/\n", "\n", "An individual summand map for each khipu is available via its catalog page. For example here is the pendant-pendant sum drawings and information for [KH0143](../fieldmarks/pendant_pendant_sum/html/KH0143.html)" ] } ], "metadata": { "kernelspec": { "display_name": "machu", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.0" } }, "nbformat": 4, "nbformat_minor": 5 }