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.

A Dodecahedron Made of Lux Blox . . . or Is It a Rhombicosidodecahedron?

This is the third polyhedral model I’ve built with Lux Blox, and the first to use the Lux trigons (the black pieces) which were added to the Lux system in 2017. If you view this polyhedron as having orange pentagonal faces, white edges, and black vertices, it’s a dodecahedron. On the other hand, it can be seen as having orange pentagonal faces, white square faces, and black triangular faces, in which case this is a rhombicosidodecahedron.

Lots of us are stuck inside because of COVID-19, and a set of Lux Blox is the perfect tool (or toy, if you prefer) to avoid boredom while we wait this thing out. You can find Lux for sale at www.luxblox.com, and delivery is fast.

A Rhombicuboctahedron Made of Lux Blox

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.

An Octahedron Made of Lux Blox

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/.

lux octahedron 3

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.

Lux octahedron 2

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

Lux octahedron 1

A Toroidal Truncated Icosahedron

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