Rhombicuboctahedron: An Intersection of Square and Triangle

The Rhombicuboctahedron: An Intersection of Square and Triangle

Add a touch of Renaissance-era mathematical brilliance to your desk with this 3D-printed Rhombicuboctahedron. A standout member of the Archimedean family, this solid is famous for its appearance in Leonardo da Vinci’s illustrations and its satisfyingly "near-spherical" profile.

Design Highlights

• Geometric Complexity: Expertly rendered with 26 faces—8 equilateral triangles and 18 squares—meeting at 24 identical vertices.

• Radiant Silk Finish: Crafted in premium Silk Gold filament, the wireframe boasts a vibrant metallic sheen that shifts and glows as it catches the light.

• Intricate Shadow Art: The open-frame wireframe design projects a stunning, rhythmic shadow pattern onto your surfaces, turning a simple light source into a geometric display.

• Unified Collector's Scale: Precision-engineered to a consistent 1.5 inch (39.6mm) edge length, making it a perfect proportional match for the rest of your Platonic and Archimedean collection.

Specifications

• Material: High-quality, eco-friendly Silk PLA.

• Structure: High-resolution 3D-printed wireframe, optimized for structural integrity and aesthetic clarity.

• Display: Lightweight and perfectly balanced for tabletop display or hanging as a kinetic mobile.

The Mathematical Story

The Rhombicuboctahedron is often called the "Small Rhombicuboctahedron" to distinguish it from its "Great" counterpart. It is a "cantellated" version of the cube or octahedron—essentially what happens when you pull the faces of a cube apart and fill the gaps with squares and triangles. Because of its 18 square faces, it has a very high "filling" volume, making it feel substantial and solid despite its delicate wireframe construction.