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The fifth element (i.e. Platonic solid) was the dodecahedron, whose faces are not triangular, and which was taken to represent the shape of the Universe as a whole, possibly because of all the elements it most approximates a sphere, which Timaeus has already noted was the shape into which God had formed the Universe.
In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space.Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex.
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3D model of a small dodecahemidodecahedron. In geometry, the small dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as U 51.It has 18 faces (12 pentagons and 6 decagons), 60 edges, and 30 vertices. [1]
Timaeus was born c. 356 [3] or c. 350 BC [2] [5] in Tauromenium (modern Taormina, in eastern Sicily), to a wealthy and influential Greek family.His father, Andromachus, was a dynast who had refounded Tauromenium in 358 with former inhabitants of Naxos (destroyed by Dionysius I in 403), and ruled there with Timoleon's support.