Regular Polytopes |
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a-form A₁ alternate analogous axis B₁ belong cells centre circum-radius compound congruent transformation consists convex coordinates corresponding Coxeter cube defined denote diagonals dihedral angle dimensions direct dodecahedron edges equal equation equatorial polygon equilateral Euler's Formula faces finite groups follows four four-dimensional fundamental region graph group of order half-turn hedron Hence honeycomb hyperplanes icosahedron infinite inscribed integers invariant lattice lines of symmetry mid-points modified Petrie polygon n-dimensional N₁ N₂ nodes obtain occur octahedron opposite vertices orthogonal p-gon P₁ P₂ parallel pentagonal permutations perpendicular Petrie polygon plane Platonic solids polyhedra product of reflections projection quasi-regular R₁ R₂ reciprocal regular polyhedron regular polytope rhombic rhombs rotation group Schläfli Schläfli symbol segments sides skew polygon space sphere spherical tessellation star stella octangula stellated subgroup symbol symmetry group symmetry operations tetrahedron theorem tion translation triangles truncation vectors vertex figure zonohedron