Threefold Rhombic Triacontahedron

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RT
30
opacity 1
30 RD2
0
opacity 2
20 PR
0
opacity 3
60 PR
0
opacity 4
30 RD2
0
opacity 5
12 RI
0
opacity 6
60 OR
0
opacity 7
20 OR
0
A threefold rhombic triacontahedron consists of eight layers. From inside to outside these are:
• rhombic triacontahedron (RT)
• 30 rhombic dodecahedra of the second kind (RD2)
• 20 prolate rhombohedra (PR)
• 60 PR
• 30 RD2
• 12 rhombic icosahedra (RI)
• 60 oblate rhombohedra (OR)
• 20 OR

References

[1] I. Hafner, T. Zitko, and B. Jurcic–Zlobec, "Gallery of Rhombic Polyhedra," VisMath, 4(1), 2002. vismath7.tripod.com/hafner.
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External Links

Rhombic Icosahedron (Wolfram MathWorld)
Rhombic Triacontahedron (Wolfram MathWorld)
Golden Rhombohedron (Wolfram MathWorld)
Inside the Rhombic Hexecontahedron
Rhombic Triacontahedron Built on a Cube
Symmetric Decompositions of a Rhombic Triacontahedron

Permanent Citation

Izidor Hafner
​
​"Threefold Rhombic Triacontahedron"​
​http://demonstrations.wolfram.com/ThreefoldRhombicTriacontahedron/​
​Wolfram Demonstrations Project​
​Published: January 5, 2012