Changes: Drilled truncated icosidodecahedron

Revision as of 11:56, 19 October 2007

Large Unnamed Stewart Toroid
'

Type	Stewart Toroid

Rods	rr ×
Spheres	ss ×
Author	PolyClare

Geomag realization of a large Stewart Toroid (name as yet unknown). This one was inspired by the Drilled Truncated Dodecahedron, but widened by bands of squares between faces (and other polygons at vertices). 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 those steeply-angled trianges 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-or-afford) book and can't find the name online.

The white triple triangles (plus the three surrounding/connecting 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.

This Stewart Toroid is composed from the following parts:

The outer shell of this Toroid is a Truncated icosidodecahedron (white rods plus decagons of metallic blue rods) with Pentagonal Cupolae Excavations (metallic blue rods and blue panels), with central Pentagonal Holes (red rods).

The inner shell of this Toroid is a Small Rhombicosidodecahedron with Pentagonal Holes (panelled in red, red and silver rods, very hard to see in photo).

The twelve holes connecting the inner shell and outer shell of this Toroid are Pentagonal Antiprisms with missing Pentagons (red rods, green triangular panels).

For comparison, the original Stewart 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.

@@ Line 8: / Line 8: @@
 This Stewart Toroid is composed from the following parts:
-* The outer shell of this Toroid is a [[Truncated Icosidodecahedron|Truncated icosidodecahedron|truncated icosidodecahedron]] (white rods plus decagons of metallic blue rods) with Pentagonal Cupolae Excavations (metallic blue rods and blue panels), with central Pentagonal Holes (red rods).
+* The outer shell of this Toroid is a [[Truncated Icosidodecahedron|Truncated icosidodecahedron]] (white rods plus decagons of metallic blue rods) with Pentagonal Cupolae Excavations (metallic blue rods and blue panels), with central Pentagonal Holes (red rods).
 * The inner shell of this Toroid is a Small Rhombicosidodecahedron with Pentagonal Holes (panelled in red, red and silver rods, very hard to see in photo).