# Geometry And Discrete Mathematics 120

>>120-Cell The 120-cell is a finite regular four-dimensional with. It is also known as the hyperdodecahedron or hecatonicosachoron, and is composed of 120, with 3 to an edge, and 720 (Coxeter 1973, p. 264). The 120-cell has 600 vertices (Coxeter 1969) and 1200 edges. It is one of the six. In the plate following p. 176, Coxeter (1973) illustrates the polytope.

The dual of the 120-cell is the. The vertices of the 120-cell with circumradius and edge length are given by the following sets, where is the (Coxeter 1969, p. 404). A set of 24 vectors given by and all its permutations. A set of 64 given by and all its permutations. A set of 64 given by and all its permutations.

MATH 510 - C: Discrete Mathematics Fall 2017. An introduction to discrete mathematics and will. Box for our class located next to CW 120, across the Math Dept.

A set of 64 given by and all its permutations. A set of 96 given by and all its. A set of 96 given by and all its. Poetry Interpretation Programs.

A set of 192 given by and all its. There are 30 distinct nonzero distances between vertices of the 120-cell in 4-space.

The top image above shows a projection of the 120-cell laser-etched into glass, and the two bottom images show a projection visualized as a metal sculpture. Both works were created by digital sculptor Bathsheba Grossman (). The skeleton of the 120-cell, shown above in several projections, is a 4-regular graph (i.e., a of girth 5 (pentagonal cycles) and diameter 15. The numbers of vertices at graph distance, 1, 2. From a given vertex on the skeleton of the 120-cell are 1, 4, 12, 24, 36, 52, 68, 76, 78, 72, 64, 56, 40, 12, 4, and 1 (OEIS ). The 120-cell has. Wolfram Web Resources The #1 tool for creating Demonstrations and anything technical.

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