WOLFRAM|DEMONSTRATIONS PROJECT

Assembling a Great Rhombic Triacontahedron

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grt
crh
star
mrt
rt
diagram
The great rhombic triacontahedron (grt) can be considered to be a composition of 30 golden rhombuses (a stellation of the rhombic triacontahedron). This Demonstration shows how the protruding parts (star) can also be interpreted as parts of a concave rhombic hexecontahedron.
The internal parts are revealed as the shells are removed:
1. the concave rhombic hexecontahedron (crh)
2. the relationship to the median rhombic triacontahedron (mrt)
3. the rhombic triacontahedron (rt)
You can also show the stellation diagram.