# A Cluster of Twelve Rhombic Triacontahedra

To make this, I started with the rhombic hexecontahedron (shown in this post), and then I augmented its twelve indentations with rhombic triacontahedra. I did this using *Stella 4d*, which you can try for free right here.

# The Rhombic Hexecontahedron

This is the rhombic hexecontahedron. Its faces are 60 rhombi with diagonals in the golden ratio. I made it by starting with a rhombic triacontahedron, then stellating it 26 times. This was done using *Stella 4d*, a program you can try for free at http://www.software3d.com/Stella.php.

This non-convex polyhedron can also be made using Zome, available at http://www.zometool.com, using all red struts of the same length. This was the reason I made the edges red, and the vertices white (like Zomeballs).

# An Aperiodic Tessellation Featuring Regular Decagons and Regular Pentagons, Along With Concave Pentagons and a Few Rhombi

It is not possible to tessellate a plane using only regular pentagons and decagons, but that doesn’t stop me from trying. To get this to work, I had to add rhombi and concave pentagons — but even then, it’s an aperiodic tessellation.

## A Radial Tessellation Featuring Regular Octagons, Equilateral Hexagons, and Convex Pentagons

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## A Tessellation of Regular Pentagons and Squares, Along With Rhombi, Convex Hexagons, and Concave Hexadecagons

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# A Rainbow Diagram of the Electromagnetic Spectrum

Nothing in this diagram is shown to scale.