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searching for Uniform polytope 8 found (92 total)

Truncated 24-cells (1,744 words) [view diff] exact match in snippet view article find links to article

geometry, a truncated 24-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 24-cell. There are two degrees

3 (3,175 words) [view diff] exact match in snippet view article find links to article

triangle, the square, and the pentagon. There are three finite convex uniform polytope groups in three dimensions, aside from the infinite families of prisms

Seven-dimensional space (499 words) [view diff] exact match in snippet view article find links to article

domains of reflection, each domain defined by a Coxeter group. Each uniform polytope is defined by a ringed Coxeter-Dynkin diagram. The 7-demicube is a

Eight-dimensional space (718 words) [view diff] exact match in snippet view article find links to article

domains of reflection, each domain defined by a Coxeter group. Each uniform polytope is defined by a ringed Coxeter-Dynkin diagram. The 8-demicube is a

Truncated tetrahedron (1,218 words) [view diff] exact match in snippet view article find links to article

truncated tetrahedra and smaller tetrahedra Truncated 5-cell – Similar uniform polytope in 4-dimensions Truncated triakis tetrahedron Triakis truncated tetrahedron

Dodecahedral prism (313 words) [view diff] exact match in snippet view article find links to article

4-D uniform polytope

Coxeter element (1,641 words) [view diff] exact match in snippet view article find links to article

In dimensions 6 to 8 there are 3 exceptional Coxeter groups; one uniform polytope from each dimension represents the roots of the exceptional Lie groups

Six-dimensional space (2,020 words) [view diff] exact match in snippet view article find links to article

domains of reflection, each domain defined by a Coxeter group. Each uniform polytope is defined by a ringed Coxeter–Dynkin diagram. The 6-demicube is a