AS115/KH0129 - Indexed Pendant Sum
Drawings:
Right Handed Sums: # Sums = 1, Max # Summands = 3, (Min, Mean, Max) Sum Values = (663, 663, 663)
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Right Handed Sum Detail: - Click on column name to sort
| # | Color | Sum Schema | Sum Cord | Sum Cord Value | # Summands | Summands |
|---|---|---|---|---|---|---|
| 1 |  | p21, 2 : 663W | 663 | 3 | p14: 2050D + p18: 233W:G + p22: 225W:0D |
Khipu Notes:
Ascher Databook Notes:
- This is one of several khipus acquired by the Museum in 1907 with provenance Ica. For a list of them, see UR1100.
- By spacing, the khipu is separated into 7 groups of 7 pendants each (with the exception of the last group which has only 6 pendants). Each group has a top cord which is attached to the main cord j ust af ter the third (groups 2, 3, 7) or fourth (groups 1, 4, 5, 6) pendant.
- In groups 1, 2, 5, 6, 7, all pendants in a group are the same color.
- Each top cord differs in color from the pendants of the associated group. All of the top cords are zero-valued (or blank).
- In all groups where it exists, the 7th pendant is zero-valued (or blank). The non-zero values are restricted to 546-663 in group 1 and to 134-356 in the other 6 groups.
- With a discrepancy of 1, the sum of the values in the 4th position in each group equals the sum of the values in the 5th positions. Also, each has a subsum of 1000. That is:
\[ \sum\limits_{i=1}^3 P_{i4} = \sum\limits_{i=4}^7 P_{i5} = 1000 \]\[ \sum\limits_{i=1}^7 P_{i4} = \sum\limits_{i=1}^7 P_{i5} \]
- The sums of the last 3 values in groups 2 and 3 are equal:
\[ \sum\limits_{j=4}^7 P_{2j} = \sum\limits_{j=4}^7 P_{3j} \]