This form shows a tetrahedron (o), cube (h), and dodecahedron (d) in combination.

Tetrahedron, Cube, and Dodecahedron in Combination

This form shows a tetrahedron (o), cube (h), and dodecahedron (d) in combination.

This image represents an isometric holohedral mirror positioned to produce a cube by reflection.

Isometric Holohedral Mirror

This image represents an isometric holohedral mirror positioned to produce a cube by reflection.

This figure shows two tetrahedrons with parallel axes, and symmetrically placed with reference to the faces of the cube. The example given is a tetrahedrite crystal.

Tetrahedrite

This figure shows two tetrahedrons with parallel axes, and symmetrically placed with reference to the…

Cubes of Iron Pyrites frequently show a striation of their planes in one direction, which is perpendicular to the striation  on all contiguous faces, owing to oscillatory combination with the pentagonal dodecahedron. This would not be possible in a holohedral cube.

Cube of Iron Pyrite

Cubes of Iron Pyrites frequently show a striation of their planes in one direction, which is perpendicular…

This image shows one of Friedrich Froebel's divided cube (this one divided into eight smaller cubes). Froebel's cubes were used to encourage creativity in kindergarten-age children. The children could rearrange the smaller cubes into combinations that showed life, knowledge, and beauty.

Froebel's Divided Cube (Eight Smaller Cubes)

This image shows one of Friedrich Froebel's divided cube (this one divided into eight smaller cubes).…

This image shows one of Friedrich Froebel's divided cube (this one divided into eight smaller parallelograms). Froebel's cubes were used to encourage creativity in kindergarten-age children. The children could rearrange the smaller shapes into combinations that showed life, knowledge, and beauty.

Froebel's Divided Cube (Eight Smaller Parallelograms)

This image shows one of Friedrich Froebel's divided cube (this one divided into eight smaller parallelograms).…

This image shows one of Friedrich Froebel's divided cube (this one divided into twenty-seven smaller cubes). Froebel's cubes were used to encourage creativity in kindergarten-age children. The children could rearrange the smaller cubes into combinations that showed life, knowledge, and beauty.

Froebel's Divided Cube (Twenty-seven Smaller Cubes)

This image shows one of Friedrich Froebel's divided cube (this one divided into twenty-seven smaller…

This image shows one of Friedrich Froebel's divided cube (this one divided into many smaller cubes and prisms). Froebel's cubes were used to encourage creativity in kindergarten-age children. The children could rearrange the smaller shapes into combinations that showed life, knowledge, and beauty.

Froebel's Divided Cube (Complex)

This image shows one of Friedrich Froebel's divided cube (this one divided into many smaller cubes and…