UR1126/KH0141 - Group Group Sum


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All Khipus' Ascher Sum RelationshipsGroup Group Sum
All Group Group Sum RelationshipsIndividual Group Group Sums
This Khipu's Ascher Sum RelationshipsKhipu Notes
This Khipu's Drawing

Group-Group Sum:    
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Individual Group Group Sums: - Click on column name to sort
# Group Group Sum Schema Group Sum Value Is Top Group Is Duplicate Group Group Position Difference Left Group Position
(1_based index)		 Right Group Position
(1_based index)		 Left Sum
(1_based index)		 Right Sum
(1_based index)
1
170FalseFalse213W-CB@[0, 0]:21 + CB@[0, 0, 0]:1 + W-CB@[0, 1]:20 + W@[0, 1, 0]:1 + B-CB@[0, 2]:21 + W@[0, 2, 0]:1 + W-CB@[0, 3]:12 + B@[0, 3, 0]:0 + B-CB@[0, 4]:20 + W@[0, 4, 0]:0 + B-CB@[0, 5]:12 + W@[0, 5, 0]:0 + B-CB@[0, 6]:20 + B@[0, 6, 0]:0 + B-CB@[0, 7]:12 + W@[0, 7, 0]:1 + B@[0, 7, 1]:0 + B-CB@[0, 8]:20 + B@[0, 8, 0]:0 + B-CB@[0, 9]:12 + W@[0, 9, 0]:0W-DB@[2, 0]:21 + W-DB@[2, 1]:20 + W-DB@[2, 2]:21 + W-DB@[2, 3]:12 + W-DB@[2, 4]:20 + W-DB@[2, 5]:12 + W-DB@[2, 6]:20 + W-DB@[2, 7]:12 + W-DB@[2, 8]:20 + W-DB@[2, 9]:12
2
150FalseFalse459W-CB@[4, 0]:21 + W-CB@[4, 1]:20 + GG@[4, 2]:21 + W-CB@[4, 3]:12 + W-CB@[4, 4]:20 + W-CB@[4, 5]:12 + PK@[4, 6]:0 + W-CB@[4, 7]:12 + W-CB@[4, 8]:20 + W-CB@[4, 9]:12CB@[8, 0]:20 + CB@[8, 1]:20 + CB@[8, 2]:20 + CB@[8, 3]:12 + CB@[8, 4]:12 + CB@[8, 5]:20 + CB@[8, 6]:12 + CB@[8, 7]:12 + CB@[8, 8]:11 + CB@[8, 9]:11
3
170FalseFalse4711W-CB@[6, 0]:21 + W-CB@[6, 1]:20 + W-CB@[6, 2]:21 + W-CB@[6, 3]:12 + W-CB@[6, 4]:20 + W-CB@[6, 5]:12 + W-CB@[6, 6]:20 + W-CB@[6, 7]:12 + W-CB@[6, 8]:20 + W-CB@[6, 9]:12W-DB@[10, 0]:21 + W-DB@[10, 1]:21 + W-DB@[10, 2]:20 + W-DB@[10, 3]:12 + W-DB@[10, 4]:20 + W-DB@[10, 5]:12 + W-DB@[10, 6]:20 + W-DB@[10, 7]:12 + W-DB@[10, 8]:20 + W-DB@[10, 9]:12

Khipu Notes:
Ascher Databook Notes:
  1. This is one of several khipus acquired by the Museum in 1907 with provance Ica. For a list of them, see UR1100.
  2. By spacing, the khipu is separated into 3 parts. By spaces smaller than that between the parts and by markers, part 1 is separated into 6 groups of 10 pendants each, and part 2 is 6 groups of 4 pendants each (with 2 additional pendants in the last group). Part 3 is 1 group of 6 pendants.
  3. Each group is unified by color. In part 1: group 1 is CB-W or CB-B; groups 2 and 6 are DB-W; groups 3 and 4 are CB-W; and group 5 is CB. The markers between them are short B cords. In part 2: groups 1, 2, and 4 are CB-W; group 3 is DB-W; and group 5 is B-W. In group 6, 4 of the pendants are GG-W and 2 additional pendants (1 between positions 1 and 2, and the other between positions 2 and 3) are DB:W. In part 3, with the exception of the first pendant, the group is DB-GG.
  4. In part 1 (assuming that the missing P27 had value 20):
    1. The only pendant values are 11, 12, 20, and 21 and the subsidiary values are 0 or 1.
    2. The 60 pendant values sum to 1000.
    3. All the values in corresponding positions are the same for groups 1, 2, 3, and 4. With the exception of the interchange of values in positions 2 and 3, the values in group 6 are also the same.
  5. In part 2 (assuming that the missing P74 had value 40):
    1. The only pendant values in positions 1-3 of all groups are 20, 30, 40, 50, 60.
    2. The sum of the values in each of the first 3 positions in the 6 groups is 250.

    That is:
    \[ \sum\limits_{i=1}^6 P_{i1}=\sum\limits_{i=1}^6 P_{i2}=\sum\limits_{i=1}^6 P_{i3}= 250 \]