# Tag Archives: pentagon

# A Non-convex, Pyritohedral Dodecahedron with Non-convex Pentagonal Faces

I created this using *Stella 4d*, which you can try for free at http://www.software3d.com/Stella.php. Starting with the Platonic dodecahedron, I dropped the symmetry of the model down from icosahedral to tetrahedral, then stellated it six times. I also put the resulting polyhedron into “rainbow color mode” before making this .gif image.

# Tessellation of Regular Pentagons and Tetraconcave Octagons

I saw a tessellation similar to this on Facebook, and used *Geometer’s Sketchpad* and *MS-Paint* to re-create it with colors of my own choosing.

# Stars, Pentagons, and Rhombi #2

This is an expansion of the last post here. It may be possible to continue this tiling outward indefnitely, forming an aperioidic tiling — or it may not. I am simply uncertain about this

## An Arrangement of Circles Based on the Euclidean Construction of the Pentagon

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## Pentagonal Mandala V

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# Tessellation of Blue Triangles and Yellow Concave Pentagons

Alternately, this can be seen as a tessellation of blue diconcave hexagons and yellow triconcave enneagons. Which do you see?

## A Tessellation Featuring Rings of Pentagons

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# A Polyhedron Made of Enneagons and Pentagons

This polyhedron has 20 enneagons and 12+60=72 pentagons (of two types) as faces. I made it using *Stella 4d*, which is available at http://www.software3d.com/Stella.php.

# Triacontahedron with Two Dozen Pentagonal Faces

Of the thirty faces of this polyhedron, only the yellow parallelograms are not pentagons. I used *Stella 4d* to make this; you may try it for free at http://www.software3d.com/Stella.php.