Cluster of Fifteen Decorated and Tightly-packed Truncated Octahedra

Cluster of Fifteen Decorated and Tightly-packed Truncated Octahedra

This cluster was made of the same polyhedron from the previous post, repeated in a space-filling pattern, similar to a tessellation, but in three dimensions. The truncated octahedron has the property, unusual among polyhedra, that it can fill space without leaving any gaps. One of the fifteen truncated octahedra is i the center of the cluster, while another is attached to each of the central polyhedron’s fourteen faces.

Software used to create this includes three separate programs: Geometer’s Sketchpad, MS-Paint, and Stella 4d. This third program may tried for free, and/or purchased, at

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, the majority of which are geometrical. Welcome to my little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with the views of my employer, nor any other organization, nor institution, of any kind.
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