Abstract
The Janko group J1 has, up to duality, exactly two regular rank four polytopes, of respective Schläfli types {5, 3, 5} and {5, 6, 5}. The aim of this paper is to give geometric constructions of these two polytopes, starting from the Livingstone graph. © Springer Science+Business Media, LLC 2011.
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Hartley, M. I., Hubard, I., & Leemans, D. (2012). Regular 4-polytopes from the livingstone graph of Janko’s first group. Journal of Algebraic Combinatorics, 35(2), 193–214. https://doi.org/10.1007/s10801-011-0300-x
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