Catalog: KH0157 (UR1141, AS141)

Section Information
Statistics:
Aliases:   UR1141, AS141
Contributors:  Marcia & Robert Ascher
Museum:  Museum für Völkerkunde, Berlin, Germany
Museum Number:  VA47124A
Provenance:  Ica
Region:  Unknown 		# of Groups & Cords:   10 Groups, 20 Cords - 20p
# of Unique Cord Colors:  1
Benford Match:  0.4327
# Ascher Sums (pps, ips, cps, sps,...):  3 (0, 0, 0, 0,...)
Similar Khipu:  Previous (KH0096)  Next (KH0172)
   KH0157 (UR1141, AS141)
Group Group Sum
DataFile:
KH0157
Notes:
Ascher Databook Notes:
  1. This is one of several khipus acquired by the Museum in 1907 with provenance Ica. For a list of these khipus, see KH00110.
  2. KH0157 and KH0158 are designated by the same Museum number. (a) Both khipus have the main cord and all pendants the same color, W. (b) Both khipus are separated by spacing into groups of a uniform number of pendants: on KH0157 there are 10 groups of 2 pendants each; and on KH0158 there are 2 groups of 6 pendants each. (c) On KH0157, all values are 20-24; on KH0158, all values are 0-15.
  3. On KH0157, the sum of the values of the first pendant in each group equals the sum of the values of the second pendant in each group. That is:
    \[ \sum\limits_{i=1}^{10} P_{i1}=\sum\limits_{i=1}^{10} P_{i2} \]
  4. In 8 of the 10 groups, the value of the first pendant equals the value of the second pendant. Moreover, these values are the same for 7 of the 8 groups. That is:
    Pi1 = Pi2            for i=(1,3,5,6,...,10)
    Pi1 = Pi2 = 22    for i=(3,5,6,...,10)
Bibliography:

Bibliography for KH0157 (UR1141, AS141):

Year Author Title Pages
1978 Ascher, Marcia, and Robert Ascher. Code of the Quipu: Databook. University Microfilms, Ann Arbor. 698; 916-918
1981 Ascher, Marcia, and Robert Ascher. Code of the Quipu: A Study in Media, Mathematics, and Culture. University of Michigan Press, Ann Arbor. 96; 97 (ex.5.6)
1986 Ascher, Marcia. Mathematical Ideas of the Incas.’ In Native American Mathematics, edited by Michael P. Closs, pp. 261–289. University of Texas Press, Austin. 280 (ex.3)
2017 Urton, Gary. Inka History in Knots: Reading Khipus as Primary Sources. University of Texas Press, Austin. 261