Monthly Archives: October 2024

A Tessellation Featuring Regular Octagons, Isosceles Trapezoids, Two Types of Squares, Two Types of Convex Hexagons, and Two Types of Rectangles

Image

Reply

Three Polyhedra Which Each Contain Four Regular Dodecagonal Faces

Posted on by
Reply

I stumbled upon these while playing with tetrahedral-symmetry alterations of a great rhombicuboctahedron, using Stella 4d. You can try this program for free at http://www.software3d.com/Stella.php.

Tessellation Featuring Regular Octagons, Squares, Isosceles Trapezoids, and Thin Crosses

Image

Reply

A Tessellation Featuring Regular Hexagons, Squares, Equilateral Triangles, and Isosceles Trapezoids

Posted on by
Reply

At first glance, the line segments in this tessellation might appear curved, but they are all perfectly straight.

A Tessellation Featuring Regular Hexagons, Isosceles Triangles, and Squares in Two Sizes

Image

Reply

A Tessellation Featuring Regular and Irregular Hexagons, Regular and Irregular Pentagons, Rectangles, Six-Pointed Stars, Equilateral Triangles, and Isosceles Triangles

Image

Reply

A Symmetrohedron Featuring Twelve Regular Pentadecagons and Sixty Kites

Posted on by
Reply

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

A Curvy Tessellation #5

Image

Reply

A Curvy Tessellation #4

Image

Reply

An Excavated Truncated Icosahedron

Posted on by
Reply

In this polyhedron, the twenty hexagonal faces have had triangular cupolae removed from the inside of the solid. I did this with Stella 4d, which you can find at http://www.software3d.com/Stella.php.