Truncated Trickery
A catalog of all regular tilings of three dimensional space by the tetrahedron-cube-octahedron symmetry family.
An in-depth explanation of these vrml files can be found here.

by mattt chisholm and Jeremy Avnet

This page uses the table cell color tag, and only works under Netscape 3.x. If you don't see any colors in the table below, click here ->AA<- to open "vrml2.html" in this directory, or get Netscape 3.1.

Color key to reading the chart: Stay tuned! An in-depth explanation of this organizational strategy is coming soon...
Triangular
Faces
Tetrahedral Symmetry
Tetrahedron
Truncated Cube
Cubctahedron
Octahedral
Symmetry
Octahedron
Tetrahedron &
Octahedron
Octahedron &
Truncated
Cube
Octahedron &
Cuboctahedron
Truncated
Tetrahedron
Tetrahedron &
Truncated
Tetrahedron
Tetrahedron &
Truncated
Tetrahedron
Truncated Tetrahedron, Truncated Octahedron, & Cuboctahedron
Double
Truncated
Cube
Tetrahedron, Cube, & Double Truncated Cube
Cube, Truncated Cube, Double Truncated Cube, & Octagonal Prism
Cube, Cuboctahdron & Double Truncated Cube

Square Faces
Square Orientation
Cube
Double Truncated Cube
Double Truncated Cube
Cube, Truncated Cube, Double Truncated Cube, & Octagonal Prism
Cube, Cuboctahedron, & Double Truncated Cube
Cube
Cube
Same as above left
Diamond Orientation
Cube
Truncated Octahedron
Cubctahedron
Cubctahedron
Cube, Cuboctahedron, & Double Truncated Cube
Truncated Tetrahedron, Truncated Octahedron, & Cuboctahedron
Octahedron & Cuboctahedron
Truncated Octahedron
Cube, Truncated Octahedron, & Double Truncated Octahedron
Truncated Octahedron
Same as above left
Cube
Not applicable
Same as above left
Same as first cell
Double Truncated Orientation
Cube
Double Truncated Cube
Double Truncated Octahedron
Double
Truncated
Octahedron
Cube, Truncated Cube, & Double Truncated Octahedron
Cube, Double Truncated Cube, Double Truncated Octahedron, & Octagonal Prism
Truncated Tetrahedron, Truncated Cube, and Double Truncated Octahedron
Double
Truncated
Cube
Cube, Cuboctahedron, & Double Truncated Cube
Tetrahedron, Cube & Double Truncated Cube
Same as above left
Cube
Not applicable
Same as above left
Same as first cell

Hexagonal Faces
Truncated Tetrahedron
Truncated Octahedron
Double Truncated Octahedron
Double Truncated Octahedron
Truncated Tetrahedron, Truncated Cube, & Double Truncated Octahedron
Cube, Truncated Octahedron, & Double Truncated Octahedron
Double Truncated Octahedron & Octagonal Prism
Truncated Octahedron
Truncated Tetrahedron, Truncated Octahedron, & Cuboctahedron
Truncated Octahedron
Same as above left
Truncated Tetrahedron
Tetrahedron & Truncated Tetrahedron
Same as above left
Same as first cell

Octagonal Faces
Truncated Cube
Double Truncated Octahedron
Double Truncated Octahedron
Truncated Tetrahedron, Truncated Cube, & Double Truncated Octahedron
Cube, Truncated Octahedron, and Double Truncated Octahedron
Truncated Cube
Octahedron & Truncated Cube
Same as first cell

Other geometric VRML eye toys:
Isometric Projection Of The Hypercube In Three Dimensions
spz szp psz pzs zsp zps
Rhombic Dodecahedron

May 13, 1997