Tricontahedron
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Read here about a polyhedron is sometimes cited in tensegrity research.
Overview
File:Rhombictriacontahedron.jpg
A Rhombictriacontahedron made in ovray by user Cyp.
Tricontahedron
Hogden described a tensegrity structure that outlines a tricontahedron with 30 struts and 90 tensile vectors.