Tessellation of Regular Hexagons, Regular Star Hexagons, and Rhombi

Image

Four Interpenetrating Regular Hexagons

Posted on 22 September 2023 by RobertLovesPi

To make the image above, using Stella 4d (available here), I started with a uniform polyhedron called the octahemioctahedron, and then made the triangular faces of it invisible. Here’s what this polyhedron looks like without its triangles hidden:

The convex hull of either of these figures is a cuboctahedron, which is shown below.

A Chiral Tessellation of Large, Regular Hexagons and Small, Equilateral Triangles

Image

Heptagonal/Hexagonal Mixed Antiprism

Posted on 9 April 2022 by RobertLovesPi

I made this using Stella 4d, which you can try for free right here.

Tessellation of Bowtie Hexagons

Image

A Tessellation Featuring Regular Hexagons of Two Sizes, as Well as Isosceles Trapezoids

Image

A Tessellation Featuring Regular Hexagons and Convex Pentagons

Image

A Tessellation Featuring Regular Hexagons and Two Types of Rhombi

Posted on 3 April 2021 by RobertLovesPi

This tessellation is made of blue regular hexagons, as well as rhombi containing 40 and 140 degree angles (red), and rhombi containing 80 and 100 degree angles (yellow).

Snowfall in Blue

Posted on 16 February 2021 by RobertLovesPi

Like much of America, we’ve had a lot of snow lately, with more on the way. Making the piece above helped me unwind after a very stressful drive to the store and back on snow- and ice-covered roads. The car went skidding all over the place a few times, but I did make the trip without actually running into anything. I’m not going out again until the melt arrives.