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
It is an octahedron which is one of the Platonic Solids having 8 equilateral triangular faces and 12 edges.
The book called Platonic Solids: The experience
There (not their) are 5 platonic solids.
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.
A cube has 12 edges as does an octahedron and those are the two platonic solids (convex polyhedra with congruent regular polygons as faces where the same number of faces meet at each vertice) with 12 edges.
Because 6 platonic solids would be too many, and 4 wouldn't be enough
Because 6 platonic solids would be too many, and 4 wouldn't be enough
It is an octahedron which is one of the Platonic Solids having 8 equilateral triangular faces and 12 edges.
The book called Platonic Solids: The experience
We don't know for certain who discovered the platonic solids first. However, Pythagoras is credited by some sources as discovering the platonic solids first. Other sources credit Theaetetus as being the first to describe all five platonic solids and proving that these are the *only* platonic solids.
There are 5 platonic solids. They are: Tetrahedron, Octahedron, Icosahedron, Cube, and Dodecahedron
Why are there a limited number of platonic solids?Read more: Why_are_there_a_limited_number_of_platonic_solids
The Platonic solids were name after the Greek philosopher Plato, who theorized that the classical elements were constructed from the regular solids.