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.

Sawblade Tessellation #2

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Zigzag Tessellation

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Tessellation of Concave Enneagons

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A Tessellation Featuring Regular Hexagons, Triangles, and Squares, Along With Two Different Rhombi

The orange rhombi have interior angles which measure 30 and 150 degrees. For the blue rhombi, 60 and 120 degrees are the measures of the interior angles.

A Tessellation of {8/3} Star Octagons and Two Sizes of Squares

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A Tessellation Featuring Squares, Rhombi, and Four-Pointed Stars

Detail: