Tag Archives: bowtie

A Non-Convex “Bowtie” Polyhedron

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To form this polyhedron, I took a rhombic dodecahedron, and augmented each of its twelve sides with additional rhombic dodecahedra, forming a cluster of thirteen of these space-filling polyhedra. I then stellated this cluster thirty-four times, and this was the unexpected result.

The software I used to do this may be found (and tried for free) at http://www.software3d.com/stella.php.

A “Bowtie” Variant of the Truncated Icosahedron

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This has the twelve regular pentagons and twenty regular hexagons of a truncated icosahedron (most familiar to the world as the shape upon which most soccer balls are based), but also has pairs of trapezoids in “bowtie” configurations. I discovered this polyhedron using Stella 4d, which you can try for free at http://www.software3d.com/stella.php.