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

Image

A Tessellation of Regular Hexagons, Golden Triangles, and Rhombi

The rhombi’s interior angles measure 84 and 96 degrees.

Two Versions of a Tessellation Featuring Regular Hexagons, Regular Pentagons, and Tetraconcave, Equilateral Octagons

The octagons appear as four-pointed stars, with the narrowest angles measuring 12 degrees, and the next-narrowest measuring 24 degrees.

A Tessellation Featuring Regular Hexagons and Two Types of Rhombi

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).

Tessellation of Rhombi and Regular Pentagons

Image

Tessellation Featuring Regular Hexadecagons, Isosceles Triangles, and Equiangular Octagons

Image

Tessellation Featuring Regular Hexadecagons, Squares, Isosceles Trapezoids, and Equiangular Octagons

Image

A Tessellation Featuring Regular Heptagons and Triangles, as well as Six- and Four-Pointed Stars

Image

It’s a complete accident that this tessellation popped up a second time here — I had forgotten about the first one. At least it has different colors!

A Blue Tessellation of Rhombi and Regular Hexagons

Image

A Tessellation for the New Year MMXXI

Here’s another version, with different colors: