Abstract
This note describes six apparently new regular compounds of polytopes in \(\mathbb {E}^4\), that were missed by Coxeter in his systematic faceting procedure. In fact, three have the same symbols as ones in Coxeter’s list (and two are nearly the same); however, their symmetry groups are much smaller. The treatment relies heavily on the use of quaternions.
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References
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© 2018 János Bolyai Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature
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McMullen, P. (2018). New Regular Compounds of 4-Polytopes. In: Ambrus, G., Bárány, I., Böröczky, K., Fejes Tóth, G., Pach, J. (eds) New Trends in Intuitive Geometry. Bolyai Society Mathematical Studies, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-57413-3_12
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DOI: https://doi.org/10.1007/978-3-662-57413-3_12
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