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Cubitruncated Cuboctahedron
In geometry, the cubitruncated cuboctahedron or cuboctatruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U16. It has 20 faces (8 hexagons, 6 octagons, and 6 octagrams), 72 edges, and 48 vertices, and has a shäfli symbol of tr Convex hull Its convex hull is a nonuniform truncated cuboctahedron. Orthogonal projection Cartesian coordinates Cartesian coordinates for the vertices of a cubitruncated cuboctahedron are all the permutations of : (±(−1), ±1, ±(+1)) Related polyhedra Tetradyakis hexahedron The tetradyakis hexahedron (or great disdyakis dodecahedron) is a nonconvex Isohedral figure, isohedral polyhedron. It has 48 intersecting scalene triangle faces, 72 edges, and 20 vertices. Proportions The triangles have one angle of \arccos(\frac)\approx 41.409\,622\,109\,27^, one of \arccos(\frac+\frac\sqrt)\approx 7.420\,694\,647\,42^ and one of \arccos(\frac-\frac\sqrt)\approx 131.169\,683\,243\,31^. The dihedral angle equals \arccos(-\f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cubitruncated Cuboctahedron
In geometry, the cubitruncated cuboctahedron or cuboctatruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U16. It has 20 faces (8 hexagons, 6 octagons, and 6 octagrams), 72 edges, and 48 vertices, and has a shäfli symbol of tr Convex hull Its convex hull is a nonuniform truncated cuboctahedron. Orthogonal projection Cartesian coordinates Cartesian coordinates for the vertices of a cubitruncated cuboctahedron are all the permutations of : (±(−1), ±1, ±(+1)) Related polyhedra Tetradyakis hexahedron The tetradyakis hexahedron (or great disdyakis dodecahedron) is a nonconvex Isohedral figure, isohedral polyhedron. It has 48 intersecting scalene triangle faces, 72 edges, and 20 vertices. Proportions The triangles have one angle of \arccos(\frac)\approx 41.409\,622\,109\,27^, one of \arccos(\frac+\frac\sqrt)\approx 7.420\,694\,647\,42^ and one of \arccos(\frac-\frac\sqrt)\approx 131.169\,683\,243\,31^. The dihedral angle equals \arccos(-\f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
