About RobertLovesPi

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

Cuboctahedron Thirteen

For fans of House MD in general, and Olivia Wilde (Dr. Remy Hadley, better known as “Thirteen”) in particular. It’s off the air now, but still available on Amazon. I made this .gif using Stella 4d, which you can try right here.

It’s All Been Done Before — Or Has It?

I’m trying extremely hard to come up with a polyhedral design no one has ever seen before. I think I might have found one — possibly even two.

To make this, I drew a point with 360 rays coming from it, using Geometer’s Sketchpad. I then took a screenshot of that, and projected it onto each face of a rhombic triacontahedron. Two versions are presented here — one where the images appear to rotate, and one where they don’t. I sincerely hope you are seeing these for the first time.

I could not have made these without Stella 4d: Polyhedron Navigator, which you can try for yourself — for free — at this website. It’s simply the best program out there for making polyhedral images.

A Symmetrohedron Which Is Also a “Near Near Miss”

I’ve spent a lot of time over the years looking for “near misses” to the Johnson Solids, and I’ve found two of them in all that time, starting in 2003. This isn’t one, for it has an edge length deviation of about 11%, which is too much to get overly excited about. It is, however, a symmetrohedron. The hexagons, pentagons, and yellow triangles are all regular; it’s only the blue triangles which are irregular (and isosceles). It has 122 faces in all. I think I can also say, with confidence, that it is a “near near miss.” In other words, it’s nearly a near-miss to the Johnson Solids. Confused yet? I know I am.

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

The Feline Prison Reform Proposal

Hi _____________,

I hope they get a working tablet to you soon. I have a proposal for prison reform that I’d like to bounce off of you: kittens.

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We just got a new kitten, named him Bandit, and I tried to get a picture of him to send to you. Bandit (unless he’s eating) sits still for no one, though, so he ran around and around my open laptop while I took some pictures . . . and, as you can see, he “typed” part of this letter to you on each orbit around my computer. Apparently he likes numbers and punctuation marks better than the written word.

I’ll try attaching the pictures now. [Time passes . . . .] Success!

Bandit the Kitten, prior to takeoff, with JPay in view behind him:

Bandit the Kitten, launching into orbit:

Bandit the Kitten, at top speed:

Bandit the Kitten, finally slowing down, with debris stirred up during his chaotic orbit in view behind him:

So, on to my idea for prison reform: kittens! I’ve heard stories for years about prison cats, who sneak in, find places to sleep (under buildings, preferably), and start doing what cats do best: eating mice, rats and other vermin. It’s true that, as the saying goes, “There’s no such thing as a free kitten,” but this killing and eating of vermin is how cats pay the “rent,” so to speak.

Where there are cats, of course, there will soon be kittens — and by the time they venture out to places where prisoners could get to them, they’re fast. Really fast. Can you imagine an inmate chasing a kitten or a cat? It wouldn’t end well for the running prisoner, especially if he ran into other prisoners who had decided to adopt the cat being chased.

Those prisoners who mistreat cats or kittens would probably end up falling victim to prison justice — of one kind or another. The lucky ones would end up getting in trouble with the [state DOC]. The unlucky ones would, well, be dealt with in other ways.

While I gave brief thought to trying to mail a pregnant cat to the prison you’re in, I have decided against doing that. I don’t know how to successfully get cats or kittens to you. Does the [prison you’re in] have a suggestion box?

Your friend,

P.S. When I blog this, I’ll omit your name.

A 32-faced Polyhedron Featuring 4 Regular Heptagons

In addition to the four regular heptagons, this polyhedron has four quadrilateral faces, plus 24 triangles. I made it using Stella 4d, which you can try for free here. The second image, below, shows the same polyhedron from a different angle.