A Kite-Faced Polyhedron Based on the Cube, Octahedron, and Rhombic Dodecahedron

related to rd look at colors

Above is the entire figure, showing all three set of kites. The yellow set below, though, lie along the edges of a rhombic dodecahedron.

related to rd look at colors yellow rd shell

The next set, the blue kites, lie along the edges of an octahedron.

related to rd look at colors blue octahedron edges

Finally, the red set of kites lies along the edges of a cube — the dual to the octahedron delineated by the blue kites.

related to rd look at colors red cube

These images were made using Stella 4d, which is available here.

“Fractured” Octahedra

These are variations of the octahedron. I made them all with Stella 4d, which is available here. “Fractured” isn’t an official term, as “truncated or stellated” are, but I can’t come up with a better description, at least not yet. Other suggestions are welcome.

fractured octahedron 2

fractured octahedron 3 rb

fractured octahedron

Unnamed Dual xUnnamed Dual xy

Six Hexagons and Four Triangles, As Faces of a Small Polyhedron

6 hex and 4 tril

One could call this a half-truncated cube. A fully truncated cube has eight triangular faces, created by truncation, and this has half as many.

(See here for more information on Stella 4d, the software used to create this image.)