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.

External Links

Great Rhombic Triacontahedron (Wolfram MathWorld)
Two Stellations of the Rhombic Triacontahedron
Triacontahedron Stellations

Permanent Citation

Sándor Kabai
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​"Assembling a Great Rhombic Triacontahedron"​
​http://demonstrations.wolfram.com/AssemblingAGreatRhombicTriacontahedron/​
​Wolfram Demonstrations Project​
​Published: March 11, 2020