Stellated Rhombic Triacontahedron
Stellated rhombic triacontahedron
Panels 15 × Geomag rhombic panel icon
Rods 120+12 × Geomag rod icon
Spheres 63 × Geomag ball icon
Author Amafirlian 15:51, 26 August 2007 (UTC)

Stellated form of the rhombic triacontahedron, also known as the rhombic hexecontahedron.

This model is supported internally by a spehere with valency 12. It consists of 20 golden parallelepipeds. The small diagonal is about 5% of so it is not possible to put in all 60 rhombic panels. To avoid collapse however, the bottom 5 golden parallelepipeds are paneled.

Building Instructions Edit

  1. Build the bottom 5 parallelepipeds with panels.
  2. Add the central sphere with the 12 supporting rods.
  3. Complete the rest of the parallelepipeds.

Other views Edit

Another Model, different building approach Edit

Another way to approach building this Stellated Rhombic Triacontahedron is to first build an Icosidodecahedron (blue) with internal rods supporting the pentagons (white), as follows (stero pair):

Icosidodecahedron (rod support) - L Icosidodecahedron (rod support) - R

Then build little tetrahedra (white) atop every triangle on the icosidodecahedron:

Stellated Rhombic Triacontahedron - L Stellated Rhombic Triacontahedron - R

Now the Stellated Rhombic Tricontahedron (Rhombic Hexecontahedron) consists of just the white rods -- almost. The near-rhombi are supposed to be Golden Rhombi, but these are off from that. But it does look close. One can enhance the look by adding panels (blue) that match the supporting icosidodecahedron. Below I show five of the near-rhombi filled in with blue triangular panels:

Stellated Rhombic Triacontahedron (plus panels) - L Stellated Rhombic Triacontahedron (plus panels) - R

--PolyClare 09:44, 10 January 2009 (UTC)

Related links Edit

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