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Platonic Solids are convex polyhedra where each face is a regular polygon congruent to all other faces. There are exactly five of them, listed numerically left to right and then top to bottom:
1. Tetrahedron
2. Octahedron
3. Icosahedron
4. Cube
5. Dodecahedron
Image found here: https://images.app.goo.gl/1gK9aNynqs2nj1i17
Image found here: https://images.app.goo.gl/5wJu868UAMpbFKgW9
Archimedean Solids, on the other hand, are convex polyhedra where each face is a regular polygon. These faces are made up of two or more types of regular polygons.
1. Snub Cube 7. Snub Dodecahedron
2. Truncated Cuboctahedron. 8. Truncated Icosahedron
3. Truncated Octahedron 9. Truncated Icosidodecrahedron
4. Rhombicuboctrahedron 10. Rhombicosidodecrahedron
5. Truncated Tetrahedron 11. Icosidodecrahedron
6. Truncated Dodecahedron 12. Truncated Cube
13. Cuboctrahedron
Key Terms
Key Terms
Vertex: a point where two or more line segments connect
Edge: a line segment connecting two vertices
Face: a flat surface of a solid object
Regular Polygon: a polygon for which all sides are equal in length and all angles are equal in measure
Convex Polyhedron: a polyhedron where every line connecting any two points on the surface lies inside the polyhedron.
Website created by Benjamin Liber for MTH 482 - Great Theorems of Mathematics, Spring 2024.
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