Snub cube
Archimedean solid with 38 faces / From Wikipedia, the free encyclopedia
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In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles. It has 60 edges and 24 vertices. Kepler first named it in Latin as cubus simus in 1619 in his Harmonices Mundi.[1] H. S. M. Coxeter, noting it could be derived equally from the octahedron as the cube, called it snub cuboctahedron, with a vertical extended Schläfli symbol , and representing an alternation of a truncated cuboctahedron, which has Schläfli symbol .
Quick Facts Type, Faces ...
Snub cube | |
---|---|
Type | Archimedean solid |
Faces | 38 |
Edges | 60 |
Vertices | 24 |
Symmetry group | Rotational octahedral symmetry |
Dihedral angle (degrees) | triangle-to-triangle: 153.23° triangle-to-square: 142.98° |
Dual polyhedron | Pentagonal icositetrahedron |
Properties | convex, chiral |
Vertex figure | |
Net | |
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