The Archimedean Solids Collection

Precision in Form: The Archimedean Solids Collection

This striking collection showcases the elegant complexity of sacred geometry through a series of intricately 3D-printed polyhedral wireframes. Perfect for collectors, mathematicians, and lovers of geometric art, these models bring abstract spatial concepts into the physical realm with stunning visual clarity.

Key Features

 Mathematical Precision: Every single piece in this collection is engineered with a uniform, deliberate edge line length of 1.414 cm (\sqrt{2}\text{ cm}), establishing a perfect harmonic proportion across the different geometric structures.

 Intricate Lattice Design: The open wireframe architecture allows light to pass completely through each form, casting intricate, mesmerizing geometric shadows that change dynamically with the angle of the light.

 Premium Silk Finish: Printed in a gorgeous, shifting silk filament that transitions beautifully through warm, metallic, and iridescent tones. The finish catches the light across every vertex, emphasizing the complex architectural lines.

 A Journey Through Symmetry: The set ranges from foundational Archimedean solids and truncated forms to beautifully complex nested lattices, providing a comprehensive physical study of high-order symmetry and spatial harmony.

Perfect For

 Sacred Geometry Studies: An invaluable tactile tool for meditating on, visualizing, and teaching the interconnectedness of geometric forms.

 Studio & Office Decor: A sophisticated, eye-catching accent for any creative workspace, shelf, or desk.

 Creative Inspiration: A physical reminder of the mathematical perfection found throughout the natural universe.

The 13 Archimedean Solids

An Archimedean solid is a highly symmetric, semi-regular convex polyhedron composed of two or

more types of regular polygons meeting at identical vertices. Below is the complete catalog of the

thirteen distinct forms, organized by their mathematical specifications.

1. Truncated Tetrahedron

Faces: 8 total (4 triangles, 4 hexagons)

Vertex Configuration: 3.6.6 (One triangle and two hexagons meet at each vertex)

2. Cuboctahedron

Faces: 14 total (8 triangles, 6 squares)

Vertex Configuration: 3.4.3.4 (Alternating triangles and squares meet at each vertex)

13. Truncated Cube

Faces: 14 total (8 triangles, 6 octagons)

Vertex Configuration: 3.8.8 (One triangle and two octagons meet at each vertex)

4. Truncated Octahedron

Faces: 14 total (6 squares, 8 hexagons)

Vertex Configuration: 4.6.6 (One square and two hexagons meet at each vertex)

5. Rhombicuboctahedron

Faces: 26 total (8 triangles, 18 squares)

Vertex Configuration: 3.4.4.4 (One triangle and three squares meet at each vertex)

6. Truncated Cuboctahedron (Great Rhombicuboctahedron)

Faces: 26 total (12 squares, 8 hexagons, 6 octagons)

Vertex Configuration: 4.6.8 (One square, one hexagon, and one octagon meet at each vertex)

7. Snub Cube

Faces: 38 total (32 triangles, 6 squares)

Vertex Configuration: 3.3.3.3.4 (Four triangles and one square meet at each vertex)

8. Icosidodecahedron

Faces: 32 total (20 triangles, 12 pentagons)

Vertex Configuration: 3.5.3.5 (Alternating triangles and pentagons meet at each vertex)

9. Truncated Dodecahedron

Faces: 32 total (20 triangles, 12 decagons)

Vertex Configuration: 3.10.10 (One triangle and two decagons meet at each vertex)

10. Truncated Icosahedron

Faces: 32 total (12 pentagons, 20 hexagons)

Vertex Configuration: 5.6.6 (One pentagon and two hexagons meet at each vertex. Famous as

the structural basis of geodesic domes and buckyballs.)

11. Rhombicosidodecahedron

Faces: 62 total (20 triangles, 30 squares, 12 pentagons)

Vertex Configuration: 3.4.5.4 (One triangle, two squares, and one pentagon meet at each

vertex)

12. Truncated Icosidodecahedron (Great Rhombicosidodecahedron)

Faces: 62 total (30 squares, 20 hexagons, 12 decagons)

Vertex Configuration: 4.6.10 (One square, one hexagon, and one decagon meet at each vertex)

213. Snub Dodecahedron

Faces: 92 total (80 triangles, 12 pentagons)

Vertex Configuration: 3.3.3.3.5 (Four triangles and one pentagon meet at each vertex)