A parametrization of 8x8 magic squares of squares through octonionic multiplication
History and Overview
2019-08-06 v2 Combinatorics
Abstract
In an analogous construction as by Euler for 4x4 matrices, a parametrization of 8x8 magic squares of squares with orthogonal rows is shown to be obtainable by extending the quaternionic method, as shown by Hurwitz, to octonions, but not possible to be carried even further in the Cayley-Dickson construction series.
Cite
@article{arxiv.1908.00838,
title = {A parametrization of 8x8 magic squares of squares through octonionic multiplication},
author = {Ísabel Pirsic},
journal= {arXiv preprint arXiv:1908.00838},
year = {2019}
}
Comments
7 pages, 2 color figures (edit: emphasized the theorem and its proof)