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A golden isozonohedron is a zonohedron all of whose faces are golden rhombi. A golden rhombus is a rhombus whose diagonals are the golden ratio.
There exist exactly five golden isozonohedra: acute golden rhombohedron, obtuse golden rhombohedron, Bilinski dodecahedron, rhombic icosahedron, and rhombic triacontahedron.
The first two polyhedra (acute golden rhombohedron and obtuse golden rhombohedron) can be combined together in various combinations to form the remaining three polyhedra (Bilinski dodecahedron, rhombic icosahedron, and rhombic triacontahedron.)
These polyhedra and the relationships between them are quite beautiful, but difficult to understand and visualize. The purpose of this construction kit is to build understanding and appreciation of the five golden isozonohedra and the relationships between them.
See here for more information: https://mathworld.wolfram.com/GoldenIsozonohedron.html
The files provided are for one version of the acute golden rhombohedron and two versions of the obtuse golden rhombohedron. Files are provided with or without supports.
The two versions of the obtuse golden rhombohedron are the same shape, but one has magnet holes on all faces, while the other has magnet holes on only half of the faces. Most of the obtuse golden rhombohedra end up on the outside of the final polyhedra and so don’t need magnets on the outside faces. This also helps cut costs in terms of number of magnets needed. Obtuse golden rhombohedra that are contained entirely within the larger polyhedra need to have magnets on all faces, but you’ll only need three of these.
To make all the five golden isozonohedra you will need:
10 acute golden rhombohedra
7 obtuse golden rhombohedra with magnets on three faces
3 obtuse golden rhombohedra with magnets on all faces
The magnet holes fit 1/8” by 1/16” cylindrical magnets. The polarity of magnets on each face must be facing opposite directions, and the pattern must be consistent on every face of every piece in order for all of the faces to snap together interchangeably. Magnets can be press fit with pliers, no glue needed.
The magnets used in the design and assembly of this model were purchased through www.kjmagnetics.com.
See here for video of finished pieces and demonstration on how they fit together: https://youtu.be/AQKMeJGCrfE
