A Relationship between the Cube, Tetrahedron, Octahedron, and Rhombic Dodecahedron

​
rotate 1
rotate 2
The relationship among the cube, tetrahedron, octahedron, and rhombic dodecahedron is shown by constructing two cubes from a rhombic dodecahedron or a rhombic dodecahedron from two cubes using parts of two tetrahedra and an octahedron. Model makers may use this Demonstration as a guide to prepare interesting physical models.

External Links

Dissecting a Rhombic Dodecahedron into an Octahedron and Two Tetrahedra

Permanent Citation

Sándor Kabai
​
​"A Relationship between the Cube, Tetrahedron, Octahedron, and Rhombic Dodecahedron"​
​http://demonstrations.wolfram.com/ARelationshipBetweenTheCubeTetrahedronOctahedronAndRhombicDo/​
​Wolfram Demonstrations Project​
​Published: July 3, 2014