Some Stellations of the Truncated Dodecahedron

The stellation-series of the truncated dodecahedron contains some interesting polyhedra. Selections from this series appear below.

24th Stellated Trunc Dodeca chiral

The polyhedron above is the 24th stellation of the truncated dodecahedron, while the one below is the 25th stellation.

25th stellation of Trunc Dodeca

27th Stellated Trunc Dodeca chiral

The polyhedron immediately above is the truncated dodecahedron’s 27th stellation. The one shown below is the 29th stellation.

29th Stellated Trunc Dodeca chiral

36th Stellated Trunc Dodeca chiral

The last two polyhedra in this post are the truncated dodecahedron’s 36th stellation (above), and its 70th stellation (below).

70th Stellated Trunc Dodeca

These images were created using Stella 4d, software available here.

A Tiling of a Plane, Using Diconcave Octagons, Rhombi, and Two Types of Kites

kites of two types and rhombi and diconcave octagons

First, this is the 11th stellation.

Stellated Icosa the 11th

Next, the 13th:

13th Stellated Icosa

And, finally, the 15th stellation of the icosahedron:

15th Stellated Icosa

I used Stella 4d, which you can find here, to make these.