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Snub cube
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{{Short description|Archimedean solid with 38 faces}} {{infobox polyhedron | name = Snub cube | image = [[File:Snubhexahedroncw.jpg|130px]][[File:Snubhexahedronccw.jpg|130px]] | caption = Two different forms of a snub cube | type = [[Archimedean solid]] | faces = 38 | edges = 60 | vertices = 24 | symmetry = Rotational [[octahedral symmetry]] <math> \mathrm{O} </math> | angle = triangle-to-triangle: 153.23° <br> triangle-to-square: 142.98° | dual = [[Pentagonal icositetrahedron]] | properties = [[Convex set|convex]], [[Chirality (mathematics)|chiral]] | vertex_figure = Polyhedron snub 6-8 left vertfig.svg | net = Polyhedron snub 6-8 left net.svg }} In [[geometry]], the '''snub cube''', or '''snub cuboctahedron''', is an [[Archimedean solid]] with 38 faces: 6 [[square (geometry)|square]]s and 32 [[equilateral triangle]]s. It has 60 [[edge (geometry)|edges]] and 24 [[vertex (geometry)|vertices]]. [[Kepler]] first named it in [[Latin]] as ''cubus simus'' in 1619 in his [[Harmonices Mundi]].{{r|cbg}} [[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]] <math>s \scriptstyle\begin{Bmatrix} 4 \\ 3 \end{Bmatrix}</math>, and representing an [[Alternation (geometry)|alternation]] of a [[truncated cuboctahedron]], which has Schläfli symbol <math>t \scriptstyle\begin{Bmatrix} 4 \\ 3 \end{Bmatrix}</math>.
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