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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.

Four Symmetrohedra with Tetrahedral Symmetry

Symmetrohedra are polyhedra with some form of polyhedral symmetry, and many (not necessarily all) regular faces. The first two symmetrohedra here each include four regular enneagons as faces.

The next two symmetrohedra each include four regular dodecagons as faces.

All four of these were made using Stella 4d, which you can try out for free at http://www.software3d.com/Stella.php.

Abbie Hoffman, on Sacred Cows

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Two Symmetrohedra Which Feature Enneagons

These two symmetrohedra were created using Stella 4d, software you can try for free right here.

Three Symmetrohedra

Symmetrohedra are polyhedra which have many (but not all) faces regular, and have some form of polyhedral symmetry. Here’s one that has regular decagons and triangles, along with trapezoids appearing in “bowtie” pairs.

symmetroheron featuring regaular decagons.gif

The next one has regular dodecagons and decagons, along with trapezoids which closely resemble triangles, and some very thin rectangles.

122 faces 20 dodecagons 12 decagons 40 trapezoids 30 thin rectangles.gif

Finally, in the last of these three, the regular faces are dodecagons and pentagons. For the irregular faces, there are two different types of trapezoids.

152 faces 12pentqgons 20 dodecagong 60trapsand 60 difftraps.gif

All three of these were made with Stella 4d, which you can try for free right here.

Thirteen Zonohedra with Cuboctahedral Symmetry

You can make these images larger by clicking on them.

These were all created using Stella 4d, which you can try for free right here.

A Polyhedron Featuring Eight Regular Enneagons and Twenty-four Kites

8 enneagons and 24 kites

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

A Symmetrohedron Featuring Regular Hexadecagons and Regular Hexagons

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symmetrohedron featuring reguarhexadecagons and hexagons.gif

I made this using Stella4d, which you can try for free right here.

A Polyhedron with 62 Faces Which Features Eight Regular Dodecagons

Polyhedron featuring 62 faces with 8 of them regular dodecagons

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

The God Question

Bible on bookshelf.jpeg

During my 4th period class today, I got asked one of my least favorite questions by one of my students: “Do you believe in God?”

It’s a science class, and I want us to stay on-topic. Discussing my views on the existence or non-existence of a deity isn’t going to help with that. I sighed, and said what I always say in this situation: “That’s a personal question, and I don’t answer personal questions.”

The students then remembered that I have a Bible on the bookshelf in my classroom, and concluded, on the basis of this single shred of evidence, that I am, indeed, a believer. (The Bible is there as one of many options for my students to read during their designated reading time, just before lunch.)

Since then, I’ve been to Amazon, and ordered an English translation of the Qur’an, which I will place on that same bookshelf — probably right next to the Bible. I wonder what my students will make of that? 

Thirteen Equilateral Triangles

twelve triangles

twelve triangles rc

12_triangles (1)