RobertLovesPi.net

Polyhedra, tessellations, and more.

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

A Chiral, Radial Tessellation of Equilateral Triangles, Rhombi, and Isosceles Trapezoids

Posted on 17 June 2021 by RobertLovesPi

Reply

After that messy, irregular tessellation in the last post, I had to make something which looked better.

A Fractal Tessellation of Golden Triangles, Golden Gnomons, and Regular Decagons

A Radial Tessellation of the Plane Using Squares and 45/135 Degree Rhombi

Posted on 28 May 2021 by RobertLovesPi

2

This is an adjustment and extension of the radial tessellation shown in the most recent post here. I am now confident that this pattern could be extended outward, without limit.

A Radial Octagonal Tessellation of Squares and Rhombi

Image

1

I believe this can be continued, outward, indefinitely. I also believe it is aperiodic. However, I do not have a proof for either of these conjectures.

Two Versions of Mandalas Centered on Regular Octadecagons

Posted on 12 July 2020 by RobertLovesPi

1

18b

If I've tried this once, I've tried it at least fifty-five times….

Posted on 24 March 2020 by RobertLovesPi

4

It’s hard to get regular pentagons, regular star pentagons, regular decagons, and related polygons to tessellate the plane while maintaining radial symmetry. This is my latest attempt.

A Radial Tessellation of Regular Pentagons and Rhombi

A Radial Tessellation Using Three Types of Rhombi

Posted on 13 October 2018 by RobertLovesPi

Reply

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.