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.