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.

An Octahedron Made of Lux Blox

Posted on 2 May 2020 by RobertLovesPi

This is the first model I built with Lux Blox, a modeling-system I’ve been checking out. If you’d like to try Lux for yourself, the website to visit to get them is https://www.luxblox.com/.

This is an octahedron with an edge length of two. The eight triangular faces are blue, while the edges of the octahedron are orange. Apart from their colors, all these pieces are identical — the basic Lux block, also known as a Lux square. With just this one block, you can build literally millions of things. I’m into polyhedra, so that’s what I’ll be building a lot of, but someone obsessed with dinosaurs could build models of those, as well. Lux Blox are that versatile.

The images above and below show the same Lux polyhedron, viewed from different angles.

A Toroidal Truncated Icosahedron

Posted on 24 April 2020 by RobertLovesPi

Augmented Rhombic Triaconta

The components of this toroid are sixty rhombic triacontahedra, as well as ninety rhombic prisms with lateral edges three times as long as their base edges. I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

Augmented Rhombic Triaconta rb

Her Highness, Hexagon the Cat

Posted on 23 April 2020 by RobertLovesPi

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No other cats are allowed to touch Hexagon’s cat castle, and that’s all there is to it.

A Toroidal Rhombic Dodecahedron, Made of Icosahedra

Posted on 17 April 2020 by RobertLovesPi

Augmented Icosa Augmented Icosa blue Augmented Icosa rainbow

I made these using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.

COVID-19, Interpreted Through the Lens of the Flaming Lips, in Cartoon Form

Posted on 12 April 2020 by RobertLovesPi

Flaming Lips in 2019 and 2020

I did not draw this cartoon. The source for it is Wayne Coyne’s Instagram account (here), and my guess is that he is the cartoonist. If I’m wrong about that, though, please let me know in a comment.

Holy Saturday with COVID-19 and “Jesus Christ Superstar”

Posted on 11 April 2020 by RobertLovesPi

I’m spending this odd, COVID-19-dominated Holy Saturday inside, watching Jesus Christ Superstar. This was actually one of my primary information-sources regarding Christianity before it occurred to me to read the New Testament for myself, in my early twenties. If you’d like to watch it with me, here’s a link to the 1973 film-version, as a YouTube playlist.

The Compound of Five Rhombic Dodecahedra

Posted on 4 April 2020 by RobertLovesPi

This is the compound of five rhombic dodecahedra, with each component shown in a different color. This is one of the few well-known polyhedral compounds which is actually more attractive with the faces hidden, and that’s what’s shown in the next image.

RD 5

I made these images using Stella 4d: Polyehdron Navigator, which you can try for free at http://www.software3d.com/Stella.php.

A Fifty-Faced Symmetrohedron Featuring Twenty Regular Hexagons and Six Squares, Along with 24 Isosceles Trapezoids

Posted on 4 April 2020 by RobertLovesPi

Symmetrohedra are symmetrical polyhedra which have many (but not necessarily all) faces regular. The only irregular faces in this polyhedron are the blue isosceles trapezoids.

I made this using Stella 4d: Polyhedron Navigator. You can try this program yourself, for free, at http://www.software3d.com/Stella.php.

A Rhombic Triacontahedron, Covered with Tessellations

Posted on 28 March 2020 by RobertLovesPi

The tessellations of the faces of this rhombic triacontahedron first appeared in my last post here. For putting the whole thing together and creating this rotating .gif, I used a program called Stella 4d. If you want to, you can try Stella for free at this website.

Oblique All-Square Tessellation #2

Posted on 27 March 2020 by RobertLovesPi

The first of these used the center of a square as the center of rotation. This one, by contrast, uses an intersection as the center of rotation. In each case, 45 degrees is the angle used.