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Icosidodecahedron: A Masterclass in Equilibrium

Icosidodecahedron: A Masterclass in Equilibrium

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The Icosidodecahedron: A Masterclass in Equilibrium

Discover the perfect balance of the pentagon and the triangle with this 3D-printed Icosidodecahedron. This Archimedean solid is a "quasiregular" polyhedron, meaning it has a unique, high-order symmetry that makes it a standout piece for any collector of geometric art.

The Design Highlights

Geometric Harmony: Composed of exactly 32 faces12 regular pentagons and 20 equilateral triangles—meeting at 30 identical vertices.

Luminous Silk Finish: Printed in premium Silk Gold/Copper PLA, the wireframe captures a metallic glow that shifts dynamically as you rotate the piece or as ambient light changes.

Intricate Shadow Play: The open-frame architecture projects a stunning, radial shadow pattern onto nearby surfaces, creating an immersive "light sculpture" effect in any room.

Scaled for the Series: Engineered with a consistent 1.5 inch (39.6mm) edge length, ensuring it integrates seamlessly with your existing collection of Platonic and Archimedean solids.

Product Specifications

Material: Eco-friendly, high-luster Silk PLA.

Construction: Precision 3D-printed wireframe, optimized for structural integrity and aesthetic clarity.

Display Versatility: Comes with an integrated suspension loop for hanging as a kinetic mobile or sits perfectly as a tabletop curious.

The Mathematical Context

The Icosidodecahedron is the rectified version of both the dodecahedron and the icosahedron. It represents the "middle ground" between these two Platonic solids, sharing the same vertex arrangement as the edges of a dodecahedron. In a collection, it serves as the perfect visual bridge between simpler forms and high-complexity solids.

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