On the Projection of the Regular Polytope {5, 3, 3} into a Regular Triacontagon
Canadian mathematical bulletin, Tome 7 (1964) no. 3, pp. 385-398
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The polytope {5, 3, 3} is one of the six convex regular four-dimensional polytope s, and in some ways is the most complicated of the six, being bounded by 120 dodecahedra. The symbol {p, q, r} to denote a regular figure in four dimensions originated with L. Schláfli: p is the number of edges bounding each face, q is the number of edges of a cell which meet at a vertex of this ceil, and r is the number of ceils that share each edge. The Schláfli symbol can be generalized to denote regular figures in any number of dimensions; in particular, a regular p-gon is symbolized by {p}, and a dodecahedron by {5, 3}.
Chilton, B. L. On the Projection of the Regular Polytope {5, 3, 3} into a Regular Triacontagon. Canadian mathematical bulletin, Tome 7 (1964) no. 3, pp. 385-398. doi: 10.4153/CMB-1964-037-9
@article{10_4153_CMB_1964_037_9,
author = {Chilton, B. L.},
title = {On the {Projection} of the {Regular} {Polytope} {5, 3, 3} into a {Regular} {Triacontagon}},
journal = {Canadian mathematical bulletin},
pages = {385--398},
year = {1964},
volume = {7},
number = {3},
doi = {10.4153/CMB-1964-037-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-037-9/}
}
TY - JOUR
AU - Chilton, B. L.
TI - On the Projection of the Regular Polytope {5, 3, 3} into a Regular Triacontagon
JO - Canadian mathematical bulletin
PY - 1964
SP - 385
EP - 398
VL - 7
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-037-9/
DO - 10.4153/CMB-1964-037-9
ID - 10_4153_CMB_1964_037_9
ER -
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