|
 | 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 close-up 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.
|
|
