KH0105/AS092 - Indexed Pendant Sums


Drawings:

Right Handed Sums:     # Sums = 2,  Max # Summands = 3,   (Min, Mean, Max) Sum Values = (12, 14, 17)
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Left Handed Sums:     # Sums = 2,  Max # Summands = 3,   (Min, Mean, Max) Sum Values = (12, 14, 17)
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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
g1p2 : 17MB173g4p2: 9MB + g5p2: 6MB + g6p2: 2MB
2
g1p6 : 12W122g4p6: 6W + g6p6: 6W

Left Handed Sum Detail: - Click on column name to sort
# Color Sum Schema Sum Cord Sum Cord Value # Summands Summands
1
g10p2 : 17W173g4p2: 9MB + g5p2: 6MB + g6p2: 2MB
2
g10p3 : 12W123g2p3: 2W:MB + g3p3: 4W:MB + g4p3: 6W:MB

Khipu Notes:
Ascher Databook Notes:
  1. KH0100, KH0102, KH0103, KH0105, KH0106, KH0107 are associates in that the Museum designates them all as donated by Gaffron, and gives the provenance as Peru. For a comparison of them, see KH0100.
  2. By spacing, KH0105 is separated into 10 groups. The first 8 groups each have 6 pendants with the same color pattern (W, MB, MB:W, W, W, W).
  3. In all 10 groups, the first pendant has the maximum value.
  4. Position by position, the pendant values in group 1 are larger than those in group 4, which are larger than those in group 3, which are larger than those in group 2. That is:
    \[ P_{1i} > P_{4i} > P_{3i} > P_{2i}\;for\;\;i\;=\;(2,3,4,...,8) \]
  5. In a few cases, the sums of values in the same position in pairs of consecutive groups are equal. Namely:
    \[ P_{4i} + P_{5i} = P_{6i} + P_{7i}\;for\;\;i\;=\;(1,4) \]
    \[ P_{2i} + P_{3i} = P_{6i} + P_{7i}\;for\;\;i\;=\;(4,6) \]