The Rhombic Enneacontahedron, With All Faces Augmented With Pyramids

Posted on 4 June 2021 by RobertLovesPi

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

A Tessellation Featuring Regular Decagons, Regular Octagons, Squares, and Two Types of Isosceles Trapezoids

A Tessellation of the Plane Featuring Regular Tetradecagons and Concave, Equilateral Decagons

A 242-Faced Polyhedron, Along With Its Dual

Posted on 2 June 2021 by RobertLovesPi

This polyhedron’s faces include twelve decagons, thirty rhombi, and 200 triangles. Its dual is shown below.

This dual has 180 faces: 60 hexagons, and 60 each of two types of kites.

A Symmetrohedron Featuring Squares, Regular Hexagons, and “Bowtie” Pairs of Trapezoids

Posted on 2 June 2021 by RobertLovesPi

This symmetrohedron has eight hexagonal faces, six square faces, and twelve pairs of trapezoids, for a total of 38 faces. I made it by using Stella 4d to modify a truncated octahedron. You may try this program for free at www.software3d.com/Stella.php.

A Chiral Polyhedron with 182 Faces

Posted on 2 June 2021 by RobertLovesPi

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

An Interesting Polyhedron, with 122 Faces

Posted on 31 May 2021 by RobertLovesPi

This 122-faced solid is the dual of the convex hull of the compound of the rhombicosidodecahedron and its dual, the strombic hexecontahedron. Its regular faces are 20 triangles, 12 pentagons, and 30 squares. It also has 60 faces which are isosceles trapezoids.