# Cubes Made of Lux Blox

What is a cube? That’s a simple question, and I thought it had a simple answer . . . until I took on the project of building cubes with Lux Blox. Lux can be bought at this website, but one thing you won’t find there, or in shipments of Lux, are directions. This was a little frustrating at first, but I understand it now: the makers of Lux don’t want directions getting in the way of customers’ creativity.

A cube has six square faces. This is the six-piece Lux model based on that statement.

This first cube model is interesting, but it is also severely limited. Lux Blox connect at their edges, and all edges in this model are already used, joining one face to another. The model has no openings where more can be attached, and added to it.

Next, I made a cube out of Lux Blox which is open, in the sense that more Lux Blox can be attached to it. It also has an edge length of two.

Besides the openness of this model to new attachments, it also has another characteristic the smaller cube did not have: it can be stretched. If you take two opposite corners of this model and gently pull them away from each other, here’s what you get:

Stretching a cube in this manner creates a six-faced rhombic polyhedron known as a parallelopiped.

The third cube model I’ve built of Lux Blox uses Lux Trigons in addition to the normal square-based Lux Blox.

In this model, the black pieces in the center are the Lux Trigons — twelve of them, occupying the positions of twelve of the twenty faces of an icosahedron. The other eight faces are where the orange triangles (or triangular prisms, if you prefer) are attached. The orange triangles mark the eight corners of a cube. This model has pyritohedral symmetry — the symmetry of a volleyball — as I hope this last picture, a close-up of this third type of cube, helps to illustrate.

# A Cuboctahedron Made of Lux Blox

This cuboctahedron has an edge length of two. If you’d like to compare it to a Lux model with a edge length of one, just check the post right before this one. Lux Blox are fun to build with, and are sold online at http://www.luxblox.com.

# A Truncated Icosahedron Made of Lux Blox

This particular truncated icosahedron has an edge length of one. I may build one with a longer edge length at some point; this would have the effect of shrinking the white edges, and magnifying the orange and blue faces, as fractions of the overall model. The individual Lux square pieces are identical, except for their color.

If you’d like to try Lux Blox for yourself, the site to visit is http://www.luxblox.com.

# Improved Lux Octahedron

The first Lux Blox model I posted on this blog was an octahedron. After a little more practice, though, I have an improved model of this polyhedron to show here.

Lux are for sale at http://www.luxblox.com.

# 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/.

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.