RobertLovesPi.net

Polyhedra, tessellations, and more.

Tessellation of Squares of Two Sizes

Semicircular Hexagonal Tessellation

Triangular Tessellation Made with Semicircles

Octahedra and Truncated Cubes Can Fill Space Without Leaving Any Gaps

Posted on 21 October 2018 by RobertLovesPi

Augmented Trunc Cube

I created this using Stella 4d, which you can try for free right here. It’s much like a tessellation, but in three dimensions instead of two.

Tessellation of Rhombi and Tetraconcave Octagons

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tessellation of rhombi and tetraconcave octagons

A Radial Tessellation Using Three Types of Rhombi

Posted on 13 October 2018 by RobertLovesPi

radial tessellation using three types of rhombi

The yellow rhombi have angles of 40 and 140 degrees, while the blue rhombi have angles of 80 and 100 degrees, just like in the last post here. However, that post did not include the red rhombi, which have angles of 60 and 120 degrees.

A Radial Tessellation Using Two Types of Rhombi

Posted on 13 October 2018 by RobertLovesPi

radial tessellation using two types of rhombi

The yellow rhombi have angles which measure 40 and 140 degrees, while the blue rhombi’s angles measure 80 and 100 degrees.

Stars, Pentagons, and Rhombi #2

Posted on 22 September 2018 by RobertLovesPi

stars pentagons and rhombi

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