Relations
between Platonic Solids
Instructions:
1. Put
different objects in the two mirror wells. Can you find
an object that can produce the same polyheron in different
mirror wells?
Do you know?
Regular Polyhedra can be divided
into 3 groups:
| Tetrahedron |
4 faces |
4 vertices |
Cube
Octahedron |
6 faces
8 faces |
8 vertices
4 vertices |
Dodecahedron
Icosahedron |
12 faces
20 faces |
20 vertices
12 vertices |
We can obtain the same shape by truncating regular polyhedra
belonging to the same grouping in a certain manner. This
property is called the duality of regular polyhedra. As
dodecahedron and icosahedron are dual of each other, they
can both arrive at the same football shape by truncation.
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