Big Stewart Toroid (L view)

Geomag realization of a large Stewart Toroid. This one is inspired by the Drilled Truncated Dodecahedron, but widened by bands of squares (and other polygons). The original Drilled Truncated Dodecahedron has pairs of triangular faces that have a too-small-for-geomag angle between them. This model inserts a square between them so that the geomags can handle it.. This model probably has an official name somewhere, probably by Stewart, but I don't have his (hard-to-find) book and can't find it online.

 

The white triple triangles (plus three surrounding metallic blue rods) are supposed to be hexagons, but I don't like to use the rhombic geomag panels to make hexagons -- they end up too floppy and fragile. I ended up leaving them unpanelled, leaving places that are easy to open up to view the true interior of this Toroid.

 

* The outer shell of this Toroid is a Truncated Icosidodecahedron with Pentagonal Cupolae Excavations, with central Pentagonal Holes.

 

* The inner shell of this Toroid is a Small Rhombicosidodecahedron with Pentagonal Holes.

 

* The twelve holes connecting the inner shell and outer shell of this Toroid are Pentagonal Antiprisms with missing Pentagons.

 

* For comparison, the original Toroid that inspired me to build this one is the Drilled Truncated Dodecahedron, which has a Truncated Dodecahedron (with Pentagonal Cupolae Excavations with central Pentagon Holes) for an outer shell; a Dodecahedron inner shell (missing all pentagons); connected by the same Pentagonal Antiprisms (missing the pentagons).

 

* Thanks for the inspiration to explore the Drilled Truncated Dodecahedron are given to Karl Horton.

Done