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Vertex Adjacency in a
Tesseract (4D Hypercube)
and in a 4×4 Array

IMAGE- Tesseract.

The same 16 subsets or points can
be arranged in a 4×4 array that has,
when the array's opposite edges are
joined together, the same adjacencies
as those of the above tesseract.

Thus the 4×4 array is also a tesseract, which,
because of its usefulness in picturing Galois
geometry, we may call the Galois tesseract.

The same sort of figures appeared in
a 1950 paper by H. S. M. Coxeter—

Coxeter in 1950 on adjacency of vertices in tesseract and in 4x4 array

Page created August 12, 2012, by Steven H. Cullinane. Last modified on May 28, 2013.