Q: Is a cube a three-dimensional solid object bounded by six square faces? ¶
A: Yes, and facets or sides, with three meeting at each vertex.
Q: Is a cube the only regular hexahedron and is one of the five Platonic solids? ¶
A: Yes.
Q: Is a cube the cell of the only regular tiling of three-dimensional Euclidean space? ¶
A: Yes.
Q: Is a cube also called a measure polytope? ¶
A: Yes.
Q: Is a cube topologically related to a series of spherical polyhedra and tilings with order-3 vertex figures? ¶
A: Yes.
Q: Is a cube related to the hexagonal dihedral symmetry family? ¶
A: Yes.
Q: Is a cube the cuboctahedron? ¶
A: Yes.
Q: Is a cube a vertex of the dodecahedron and each edge is a diagonal of one of the dodecahedron's faces? ¶
A: Yes, taking all such cubes gives rise to the regular compound of five cubes.
Q: Is a cube also a square parallelepiped? ¶
A: Yes, and an equilateral cuboid and a right rhombohedron.
Q: Is a cube truncated at the depth of the three vertices directly connected to them? ¶
A: Yes, and an irregular octahedron is obtained.
Q: Is a cube a part of a sequence of rhombic polyhedra and tilings with [n,3] Coxeter group symmetr? ¶
A: Yes, and part of a sequence of rhombic polyhedra and tilings with [n,3] Coxeter group symmetry.
Q: Is a cube topologically related in a series of uniform polyhedra and tilings 4.2n? ¶
A: Yes.
Q: Is a cube dual to the octahedron? ¶
A: Yes.