Tessellation Featuring Regular Pentadecagons

The blue polygons are regular pentadecagons, and the yellow polygons are irregular dodecagons. There are also equilateral hexagons (orange), red squares, and black concave pentagons.

Tessellation of Regular Dodecagons and Tetraconcave, Equilateral Octagons

Image

Two Rhombic Polyhedra with Tessellated Faces

These polyhedra are the rhombic dodecahedron (above), and the rhombic triacontahedron (below).

I made both of these using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php. The tessellation on the faces of these polyhedra first appeared right here on this blog, in the post just before this one.

Yellow Star Tessellation

In this tessellation, the hexagons, pentagons, and squares are all regular. The irregular polygons are equilateral decagons, as well as equilateral and concave tetrakaiicosagons.

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

Image

A Golden Tessellation of Quadrilaterals

In this tessellation, golden rectangles are shown in yellow. The orange darts are each made of two golden gnomons, joined at a leg — while the blue rhombi are each made of two golden triangles, sharing a base.

Tessellation of Rhombi and Star Hexagons

Image

tessellation

A Rhombic Triacontahedron with Faces Which Are Tessellated

Rhombic Triaconta.gif

I used three programs to make this: Stella 4d, Geometer’s Sketchpad, and MS-Paint. You can try Stella for free at http://www.software3d.com/Stella.php.

Another Octagon-Tessellation

octagons tiling a plane again

I’ve lost count of how many tessellations of octagons have appeared here. This might be the fifth one.

Tessellation of Regular Pentagons and Tetraconcave Octagons

tessellation

I saw a tessellation similar to this on Facebook, and used Geometer’s Sketchpad and MS-Paint to re-create it with colors of my own choosing.