Lotus

...for want of a better name. Using silver, black and gold magnets
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Lotus close-up
Truncated tetrahedron unwrapped
Icosahedron Construction 1
The bottom layer. 5 triangles arranged as a pentagon. They form a nice little bowl
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Star Cage 2
Dodecahedron 2
Incomplete irregular truncated icosahedron

Not enough magnets :( In any case, it's not a true regular truncated icosahedron because the hexagons are irregular.
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