The blue kites have sides which are in the golden ratio (~1.618:1), while the yellow kites’ sides are in a ratio equaling the square of that number, or approximately ~2.618:1.

# Monthly Archives: April 2022

## Another Tessellation of Concave Octagons

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## Tessellation of Equilateral, Concave Octagons

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# A Fifty-Faced Polyhedron Featuring Eighteen Regular Octagons

In addition to the eighteen regular octagons, this polyhedron also has eight equiangular hexagons and twenty-four isosceles trapezoids among its fifty faces. I made it using *Stella 4d*, which you can try, for free, right here.

# Repeated Augmentations of a Dodecahedron With More and More Dodecahedra

Here’s a single dodecahedron.

A new “cluster polyhedron” can be made by augmenting each pentagonal face with another dodecahedron.

If you can do it once, you can do it again, augmenting each pentagon with a new dodecahedron.

Once more.

I made these polyhedral clusters using *Stella 4d: Polyhedron Navigator*, which you can try for free at http://www.software3d.com/Stella.php.

## Tessellation of Regular Pentagons and Rhombi

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# Two Views of a Heptagrammic Dipyramid

# A “Barrel” Polyhedron With Heptagonal Bases

Here is this polyhedron’s dual.

I made these using *Stella 4d*, a program you can try for free at http://www.software3d.com/Stella.php.

# Octagonal/Heptagonal Mixed Antiprism

I made this using* Stella 4d*, which you can try for free at this website.

# Heptagonal/Hexagonal Mixed Antiprism

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