Platonic solid
In Euclidean geometry, a Platonic solid is a regular, convex polyhedron with congruent faces of regular polygons and the same number of faces meeting at each vertex.
John Baez has a lot of posts about platonic solids you can read here:
https://plus.google.com/117663015413546257905/posts/JpQa3ecGAXp
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The tetrahedron here
https://plus.google.com/117663015413546257905/posts/GfMNYi8sDek
and here
https://plus.google.com/117663015413546257905/posts/L2Ffx6Fqrw1
Gif via reddit
It could also be interpreted as a movie of a 5-simplex. A tetrahedron with a vertex in the center and 4 triangular faces (the edges coned to the central vertex) can be thought of as a projection of a 4-simplex. Five tetrahedra are visible in that figure: the tetrahedron that you see, and the four formed from the faces and the central vertex. Now if 5-simplex is dipped through 4 space, it will form the animated simplex.
ReplyDeleteScott Carter thank you for the extra info =)
ReplyDeleteDo you have a post about this?
I've been making pointy models of the platonic solids by welding railroad spikes together, with one spike point at each terminal vertex, under the theory that art should be really dangerous.
ReplyDelete+Corina Marinescu No post, just the observation based upon the gif. I am afraid of learning how to to gifs since my own drawings take too long to draw.
ReplyDeleteThanks Scott =)
ReplyDelete