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Rhombic Triacontahedron Near Miss
Rhombic triacontahedron near miss
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Type Near Miss
Rods 60+90 × Geomag rod icon
Spheres 32 × Geomag ball icon
Author Amafirlian 00:58, 9 August 2007 (UTC)


This support structure is amazingly close. It consists of five intersecting tetrahedra, connected to the spheres in the rhombic triacontahedron with valency 3. The size of the edges of the tetrahedra is 3 rods.

Building Instructions

  1. Build the lower halve of the rhombic triacontahedron.
  2. Start putting support rods in (3 connected rods).
    • Basically it suffices to connect one side to a sphere of valency 3, and see to which sphere of valency 3 the other side leads you.
    • Also keep a look out for the five intersecting tetrahedra that develop.
  3. Complete the upper halve of the rhombic triacontahedron.
  4. Put in the remaining support rods.


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