There are different numbers on the different platonic solids.
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Symmetry. Perfect symmetry. Equality of angles, edges and vortices.
A rectangular prism (cuboid) and a hexagon-based pyramid, for example, both have 12 edges. Of the five Platonic solids, an octahedron and a cube each have 12 edges.
Because 6 platonic solids would be too many, and 4 wouldn't be enough
The book called Platonic Solids: The experience
It is an octahedron which is one of the Platonic Solids having 8 equilateral triangular faces and 12 edges.