Bilinski Dodecahedron, Golden Rhombus, Golden Ratio
thingiverse
Bilinski Dodecahedron, Golden Rhombus, Golden Ratio This is the famous Bilinski Dodecahedron with 12 golden rhombi whose diagonals have the golden ratio φ (1.618 …). It's geometrically different from regular rhombic dodecahedrons whose rhombi have a diagonal ratio of square root of 2. Until May 4, 2018, I couldn't find one on Thingiverse, so here it is. Designing it wasn't easy, though. I started with a golden rhombus, designed the rhombic triacontahedron, removed two belts, and combined the remaining 12 rhombi from the process. The result looks very strange but still pretty, especially after all the mental gymnastics! Print one out, play with it, and have fun! Reference 1. https://en.wikipedia.org/wiki/Bilinski_dodecahedron
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