This is my latest creation with my newest polyhedron-building tool, Lux Blox. The orange and blue “Lux squares” differ only in color, and here they represent the square faces of a rhombicuboctahedron. The triangular gaps represent that polyhedron’s triangular faces.

If you’d like to try Lux Blox yourself, the website to visit to buy them is www.luxblox.com. The last picture includes my hand to give a sense of scale to these models.

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.

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.

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.

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.

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.