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.

Chutzpah

Posted on 9 November 2019 by RobertLovesPi

So I just found out that, on Amazon, if you search for “robertlovespi,” you’ll find an enlarged image of a meme I made, and blogged, sold as a laminated poster. If you choose to buy it, that’s fine with me, but I won’t get any of the money, for this poster-project was not my idea. Here’s a screenshot of the item listing. Someone took my blog’s Copyright-Free Notice, and ran with it!

If you’d like to see the original blog-post (for free!), here it is, all the way from mid-2014: https://robertlovespi.net/2014/05/03/galileo-galilei-on-the-language-of-the-universe/.

A Polyhedron Made of Regular Dodecagons and Kites

Posted on 3 November 2019 by RobertLovesPi

Made with Stella 4d, available as a free trial download at http://www.software3d.com/Stella.php.

Golden Star

Image

Logic

Posted on 27 October 2019 by RobertLovesPi

Black grapes aren’t really black, and white grapes aren’t really white. Black people aren’t really black, and white people aren’t really white. Therefore, grapes are people, and people are grapes.

[image from https://www.bbr.com/grape-kr-kerner]

Modifying a Snub Cube

Posted on 23 October 2019 by RobertLovesPi

This is the snub cube. It’s one of the thirteen Archimedean solids.

The first modification I made to this polyhedron was to stellate it once.

The next step was to augment each yellow face with a tall prism.

Next, I formed the convex hull of the above solid.

The software I use to manipulate polyhedra, Stella 4d, has a function called “try to make faces regular.” The last step of this short polyhedral journey was to use this function on the above convex hull.

If you would like to try Stella 4d for yourself, there is a free trial download available at http://www.software3d.com/Stella.php.

Modifying a Snub Dodecahedron

Posted on 19 October 2019 by RobertLovesPi

The polyhedron shown above is the snub dodecahedron, which is one of the Archimedean solids. The one shown below is its first stellation.

Next, each of the yellow faces was augmented with a tall prism.

The next step was to form the convex hull of the polyhedron above.

Finally, I used Stella 4d‘s “try to make faces regular” function on this convex hull. The result is below, and has 242 faces.

If you would like to try Stella 4d, the software I used to do all of this, simply visit http://www.software3d.com/Stella.php, and look for the free trial download.

A Fractured Octahedron

Posted on 15 October 2019 by RobertLovesPi

Sometimes, when using Stella 4d (available here) to make various polyhedra, I lose track of how I got from wherever I started to the final step. That happened with this fractured version of an octahedron.

Donald Trump: Total Disgrace

Posted on 5 October 2019 by RobertLovesPi

Photo credit: USA Today. Adding the words “total disgrace” to the picture was my idea.

Rings of Pentagons

Image

Eight Mandalas in Orbit

Posted on 17 September 2019 by RobertLovesPi

The mandalas on the eight hexagonal faces of this truncated octahedron were first seen in the blog-post immediately before this one. The six square faces have been hidden, creating holes in their places.

I used Geometer’s Sketchpad and MS-Paint to make this pattern, based on a ring of twenty-two hendecagons. The work of projecting this image onto a polyhedron, as well as making this rotating .gif image, was performed using another program, Stella 4d: Polyhedron Navigator. If you’d like to try Stella for yourself, there’s a free trial download available at http://www.software3d.com/Stella.php.