# Uniform polyhedra

@article{Coxeter1954UniformP, title={Uniform polyhedra}, author={H. S. M. Coxeter and Michael Selwyn Longuet-Higgins and J. C. P. Miller}, journal={Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences}, year={1954}, volume={246}, pages={401 - 450} }

Uniform polyhedra have regular faces meeting in the same manner at every vertex. Besides the five Platonic solids, the thirteen Archimedean solids, the four regular star-polyhedra of Kepler (1619) and Poinsot (1810), and the infinite families of prisms and antiprisms, there are at least fifty-three others, forty-one of which were discovered by Badoureau (1881) and Pitsch (1881). The remaining twelve were discovered by two of the present authors (H.S.M.C. and J.C.P.M.) between 1930 and 1932, but…

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