Two examples from the Wikipedia article "Archimedean solid" —
Iain Aitchison said in a 2018 talk at Hiroshima that
the Mathieu group M24 can be represented as permuting
naturally the 24 edges of the cuboctahedron.
The 24 vertices of the truncated octahedron are labeled
naturally by the 24 elements of S4 in a permutahedron —
Can M24 be represented as permuting naturally
the 24 vertices of the truncated octahedron?
Related material from the day Orson Welles and Yul Brynner died —
