When are finite projective planes magic?
Combinatorics
2016-01-13 v2
Abstract
This article studies a generalization of magic squares to finite projective planes. In traditional magic squares the entries come from the natural numbers. This does not work for finite projective planes, so we instead use Abelian groups. For each finite projective plane we demonstrate a small group over which the plane can labeled magically. In the prime order case we classify all groups over which the projective plane can be made magic.
Keywords
Cite
@article{arxiv.1502.02623,
title = {When are finite projective planes magic?},
author = {David Nash and Jonathan Needleman},
journal= {arXiv preprint arXiv:1502.02623},
year = {2016}
}
Comments
11 pages, 4 figures - Version 2 was updated based on reviewer comments. The main change involves additional examples