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.

Heptagonal/Hexagonal Mixed Antiprism

Posted on 9 April 2022 by RobertLovesPi

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

A Mandala Centered on a Regular Dodecagon

Posted on 5 April 2022 by RobertLovesPi

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In addition to the central dodecagon, this mandala has two rings of squares, one of equilateral triangles, a ring of rhombi, another of regular hexagons, and, finally, a ring of equilateral decagons.

A Tessellation of Regular Dodecagons and Regular Octagons, Along With “Bowtie” Hexagons

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A Tessellation Featuring Regular Dodecagons and Octagons, Along With Isosceles Trapezoids and Equiangular Hexagons

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A Tessellation Featuring Regular Dodecagons, Pentagons, and Triangles, Along With Isosceles Trapezoids and Elongated, Equilateral Octagons

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The Sixth Stellation of the Triakis Octahedron Is a Three-Part Polyhedral Compound

Posted on 29 March 2022 by RobertLovesPi

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The components of this compound are eight-faced trapezohedra. Here’s what just one of them looks like:

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

Tessellation Featuring Regular Octagons, Regular Pentagons, Squares, Equilateral Hexagons, and Irregular, Convex Pentagons

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18 Octagonal Prisms in a Cuboctahedral Arrangement

Posted on 26 March 2022 by RobertLovesPi

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

A Near-Miss to a Ring of Twelve Heptagonal Antiprisms

Posted on 24 March 2022 by RobertLovesPi

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Twelve heptagonal antiprisms, meeting at triangular faces, can make a ring with only a small gap remaining. It’s a “near miss,” made using Stella 4d, which you can try for free right here.