Uniform polyhedra

H. Coxeter; M. Longuet-Higgins; J. P. Miller

DOI:10.1098/rsta.1954.0003

Corpus ID: 202575183

Uniform polyhedra

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

H. Coxeter, M. Longuet-Higgins, J. P. Miller

Published 1954

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences

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… CONTINUE READING

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