Tag Archives: concave

Tessellation of Concave Hexagons

Image | Posted on by | Tagged , , , , | Leave a comment

A Non-Convex “Cousin” of the Cuboctahedron

My guess is that this is a faceting of the cuboctahedron, but I didn’t use faceting when I made it with Stella 4d (a program you can try here), so I am not sure about this. Based on its appearance, … Continue reading

Posted in Mathematics | Tagged , , , , , | Leave a comment

A Non-Convex Polyhedron with Sixty Non-Convex Pentagonal Faces

Created using Stella 4d:  Polyhedron Navigator, available for purchase (with a free trial download available, first) at http://www.software3d.com/Stella.php.

Posted in Mathematics | Tagged , , , , , , , | Leave a comment

Tessellation with Triconcave Enneagons

Image | Posted on by | Tagged , , , , , , , | Leave a comment

Tessellation Using Only Non-Convex Polygons

Image | Posted on by | Tagged , , , , , | Leave a comment

Tessellation of the Plane with Regular Hexagons, Squares, and Tetraconcave, Equilateral Octagons

Image | Posted on by | Tagged , , , , , , , , | Leave a comment

Tessellation Using Regular Hexacontakaihexagons, Regular Dodecagons, and Two Different (and Unusual) Concave, Equilateral Polygons

Hexacontakaihexagons have 36 sides, and dodecagons, of course, have twelve. When a regular hexacontakaihexagon is surrounded by twelve regular dodecagons, in the manner shown here, adjacent dodecagons almost, but not quite, meet at vertices. The gaps between these near-concurrent vertices … Continue reading

Image | Posted on by | Tagged , , , , , , , , , , , , | Leave a comment