RobertLovesPi.net

Polyhedra, tessellations, and more.

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my own little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with those of my employer, nor any other organization, nor institution, of any kind.

Tessellation of Regular Hexagons, Squares, and Triangles, as Well as 60/120 Degree Rhombi

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A Compound of Two Irregular Dodecahedra

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

Twelve Triangles of the Icosahedron

Posted on 25 December 2021 by RobertLovesPi

Icosahedra have twenty faces. In the image above, only twelve of those triangles are visible; the other eight have been hidden, so you can see what this solid looks like on the inside. The twelve which remain have pyritohedral symmetry — the symmetry of a volleyball.

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

A Polyhedron with 242 Faces

Posted on 22 December 2021 by RobertLovesPi

This polyhedron has 12 faces which are regular decagons, 150 quadrilateral faces, and 80 triangular faces, 20 of which are regular. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.