A new construction for symmetric (4,6)-configurations

Leah Wrenn Berman, Nadine Alise Burtt

Abstract


Geometric (4,6)-configurations are collections of points and straight lines, in the Euclidean plane, so that every point has four lines passing through it and every line has six points lying on it. In this paper, we present a new construction for (4,6)-configurations which have high degrees of geometric symmetry, by superimposing  4-astral 4-configurations with certain properties.

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DOI: https://doi.org/10.26493/1855-3974.126.839

ISSN: 1855-3974

Issues from Vol 6, No 1 onward are partially supported by the Slovenian Research Agency from the Call for co-financing of scientific periodical publications