Blues and Violets

Posted on 18 January 2021 by RobertLovesPi

This was created using Geometer’s Sketchpad and MS-Paint.

Mandala Featuring Regular Heptagons and a Regular Tetradecagon, with Convex Pentagons and Isosceles Trapezoids

Octagonal Spirals

Posted on 13 September 2020 by RobertLovesPi

This is a modification of the well-known tessellation of the plane with squares and regular octagons.

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.

Sixteen {7/2} Star Heptagons

Posted on 26 March 2020 by RobertLovesPi

Two of the heptagrams are centered in the middle, while the other fourteen are smaller, and form a ring around the two in the center.

Ten Pentagrams

Posted on 26 March 2020 by RobertLovesPi

The ten pentagrams meet at a common vertex in the center.

Fourteen Heptagrams

Posted on 25 March 2020 by RobertLovesPi

The fourteen heptagrams, also known as {7/3} star heptagons, meet at a common vertex in the center of the whole diagram. I did the math using Geometer’s Sketchpad, and then colored the result using MS-Paint.