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Zometool - Platonic Solids

Introduction

The Platonic solids are the five convex regular polyhedra. Each one has identical regular faces, and identical regular vertex figures. [1]

Zometool Models

You can construct all 5 Platonic solids with Zometool. The images were rendered in ZomePad. Click on the image to enlarge the view. The ZomePad files, which also include the building instructions, are available for download.

Quick Links

Tetrahedron
Cube (Hexahedron)
Octahedron
Dodecahedron
Icosahedron

Tetrahedron

Tetrahedron

The Tetrahedron has 4 vertices, 6 edges and 4 faces: 4 triangles.

To construct the Tetrahedron, you need:
4
6 (G0, G1 or G2 size)

Download ZomePad file

Cube (Hexahedron)

Cube (Hexahedron)

The Cube (Hexahedron) has 8 vertices, 12 edges and 6 faces: 6 squares.

To construct the Cube (Hexahedron), you need:
8
12 (B0, B1 or B2 size)

Download ZomePad file

Octahedron

Octahedrona

The Octahedron has 6 vertices, 12 edges and 8 faces: 8 triangles.

To construct the Octahedron, you need:
6
12 (G0, G1 or G2 size)

Download ZomePad file

Dodecahedron

Dodecahedron

The Dodecahedron has 20 vertices, 30 edges and 12 faces: 12 pentagons.

To construct the Dodecahedron, you need:
20
30 (B0, B1 or B2 size)

Download ZomePad file

Icosahedron

Icosahedron

The Icosahedron has 12 vertices, 30 edges and 20 faces: 20 triangles.

To construct the Icosahedron, you need:
12
30 (B0, B1 or B2 size)

Download ZomePad file

References

[1] Wikipedia: Platonic Solids