Polymorf - Knowhere - Sectioning polyhedra

Twenty-four octants and six tetrahedra combine to build the cuboctahedron.

.
Volume = 3 octahedra + 8 tetrahedra
= 20 tetrahedra
= 5 octahedra
.
Fig. 21 - Sectioning the cuboctahedron
.
Required parts: 24 large triangles, 24 right triangles, 18 pinges

The ability to section these polyhedra and rearrange them into each other

immediately and intuitively establishes a direct volumetric and dimensional

relationship between them. Further evidence of this is the fact that their respective

volumes can be expressed as whole number multiples of the tetrahedron.

	Tetrahedron	Octahedron	Cube	Cuboctahedron
Tetrahedra	1	4	3	20

Page 17 Geometry rules! - Volumetric relationships of polyhedra