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

Posted on 2 May 2020 by RobertLovesPi

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

Posted on 2 May 2020 by RobertLovesPi

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

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

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.

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.

“Stella” is on Sale!

Posted on 27 March 2020 by RobertLovesPi

Stella 4d: Polyhedron Navigator is selling at 25% off to help cure the boredom of people in isolation because of COVID-19. This software is used to make almost all of the polyhedral images on this blog. Trying the program to see if you like it is free. The website to visit to try Stella is http://www.software3d.com/Stella.php.