
REFERENCES

J. Bogoshi, K. Naidoo and J. Webb, The oldest mathematical artifact, Math. Gazette, 71:458 (1987) 294.
M. Grousson, "Depuis quand compteton ?" in 'Science & Vie', pp. 5861, No. 1080 2007 Mondadori/Excelsior Publications Paris.
D. Huylebrouck, "L'Afrique, berceau des mathematiques", in Mathematiques exotiques pp. 4650, Dossier No. 47, Pour La Science 2005 Paris.
D. Huylebrouck and V. Pletser, The Ishango artifact: the missing base 12 link, Proc. Katachi Univ. Symmetry Congress (KUS2), Paper C11, Tsukuba Univ., Japan, 18 Nov. 1999; Forma 144, 339346.
G. G. Joseph, The Crest of the Peacock: NonEuropean Roots of Mathematics, Penguin Books, London, 1992.
Richard Mankiewicz, The Story of Mathematics, Weidenfeld Nicolson Illustrated; New Ed edition (September 13, 2001).
D. Olivastro, Ancient Puzzles, Chap. 1 "The First Etches" pp. 730 Bantam Books NY 1993.
Claudia Zaslavsky, Africa Counts, Lawrence Hill Books, New York, 1973.


EXAMPLE

The three columns (or rows) of the Ishango bone are
[3, 6, 4, 8, 10, 5, 5, 7], [11, 13, 17, 19], [11, 21, 19, 9]. Or [11, 13, 17, 19], [11, 21, 19, 9], [3, 6, 4, 8, 10, 5, 5, 7]. Or [11, 21, 19, 9], [3, 6, 4, 8, 10, 5, 5, 7], [11, 13, 17, 19].
In reverse order, the three columns (or rows) are
[9, 19, 21, 11], [19, 17, 13, 11], [7, 5, 5, 10, 8, 4, 6, 3]. Or [19, 17, 13, 11], [7, 5, 5, 10, 8, 4, 6, 3], [9, 19, 21, 11]. Or [7, 5, 5, 10, 8, 4, 6, 3], [9, 19, 21, 11], [19, 17, 13, 11].
