
 Topological Medial Rhombic Triacontahedron 
This is a stylized version of the
Medial rhombic triacontahedron. The idea is that
only true edges of the polyhedron should connect. The false edges that
normally appear in a model where faces intersect but don't share an edge have
been removed by hiding parts of each face, allowing the faces to pass through
each other without collision. I call this a topological model, as it
highlights the true topology of the
polyhedron. This lets you better see the internal structure of the polyhedron.

Here's the solid version. Faces pass through each other creating what
appear to be concave edges, but in the theoretical model those faces
are not connected.


Here's the model in Great Stella. It's not easy to make such a model,
but with perseverance it is possible! In Stella the pieces have a
thickness, but when printing the nets I only printed and used the big
outer panels. Here is the .stel
file (you need Great Stella or Stella4D to view this file).


This shows one of the parts that will weave through each other. The
part in the top left corner is what I use to attach five of the long
parts together at a vertex. It's not hard to put together. The pieces
feel very flimsy at first, but the completed model isn't too bad.


Here's a closeup photo. From top to bottom, you can see how the
purple part weaves above a dark blue part, under a light blue part,
under a dark green part, and finally above a light green part. Every
piece follows a similar pattern as it travels from one vertex to the
next.

