“I wanted to add some space to my house. An infinity solid seemed like the simplest way to do this.
I have been keeping an eye on infinity mirror type objects for years now. Infinity mirrors are great to see, but I never felt the urge to build one. That was until I saw the video below, where Adam Savage and Matt Parker build an infinity rhombic dodecahedron. I love the shape, and how it nests unlike the conventional dodecahedron. I wanted to build one.
A rhombic dodecahedron is a Catalan solid, meaning it is built from a quantity of the same faces. Rhombuses are the parallelograms that make up this solid with a length to width ratio of 2:1. Dodecahedron means 12 (faces). It has 24 edges, 8 places where 3 joints meet, and 6 places where 4 joints meet.
The one property that sets this solid apart from many others is the fact that it fills a space perfectly with no gaps (nests perfectly), like hexagons do in 2D. In practice this means that the shape of the rhombic dodecahedron is visible in all the reflections. This is unlike the normal dodecahedron, where you get a fairly chaotic pattern.”