Exploring the Vertices of a Triacontahedron

Year: 2013 Authors: Robert Weadon Rollings

Core claim

The vertices of all five Platonic solids can be realized from a rhombic triacontahedron’s circumsphere or inscribed sphere.

Topics

Platonic solids, rhombic triacontahedron, geometric modeling, golden ratio, wood craftsmanship

Domains

solid geometry, polyhedra, spherical geometry, golden ratio, sculpture, woodworking, geometric art, craft design

Methods

physical model making, geometric construction, comparative placement of vertices

Media

babinga wood, brass rods, cocabola wood spheres

Source status

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