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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.

A Dozen Pulsating Dodecahedra

12 dodecahedra

To make this using Stella 4d (available here) I started with an icosahedron, placed a dodecahedron on each of its vertices, then rendered the central icosahedron invisible. The slight pulsating effect is caused by the program fitting the polyhedra tightly into each frame of the animation.

Beautiful, Clean . . . Coal?!?

Type “beautiful clean” into Google, and it suggests these endings to the phrase:

beautiful clean coal

There is no such thing as “beautiful clean coal” — coal is actually, of all energy sources, the most harmful to the environment, as scientists have shown again and again. The phrase has been made famous by our current president, Donald Trump, who appears to have the lowest level of scientific literacy than any other American president, living or dead.

Move over, George W. Bush.

George Carlin, on Words, Fear, and the Truth

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Carlin on Words

2017: The Year of Trump Dysphoria Disorder

Trump

“Dysphoria” is the antonym of “euphoria.” Exposure to facts increases your risk of developing Trump Dysphoria Disorder, or TDD. To avoid the pain and suffering associated with TDD, you may wish to avoid any media outlets which are not Fox News.

A Dozen Snub Dodecahedra, Surrounding a Dodecahedral Core

Augmented Dodeca w SDs

Software used — Stella 4d: Polyhedral Navigator, available as a free trial download at http://www.software3d.com/Stella.php.

The Snub Dodecahedron’s Big Brother

triangles and decagons

The polyhedron above reminded me of the snub dodecahedron, which is shown below. Both rotating images were made using Stella 4d, which you can try for yourself — with a free trial download available — right here.

Snub Dodeca

A Polyhedron Made of Lightning Bolts and Triskelions

triskelions and lightning bolts

This was made using Stella 4d: Polyhedron Navigator, a program available here.

A Political Cartoon

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political cartoon

Donald Trump, the Expert

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trump bush

Six Zonohedra

Zonohedra are a subset of polyhedra. In a zonohedron, all the faces are zonogons. A zonogon is a polygon with an even number of sides, as well as having opposite sides both congruent and parallel. This small collection of rotating zonohedra was made using Stella 4d, a program you can try for yourself at this website.

Also, if you want to see a larger version of any one of these zonohedra, simply click on it.