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While we are all familiar with regular polygons
(equilateral triangles, squares, ...), and
many of us know about the Platonic, or regular
solids (tetrahedron, cube, octahedron,....),
few are familiar with their analogs in dimensions
four and higher. Of course, this is because
we are not equipped to perceive four-dimensional
space directly. Nevertheless, the description of the regular solids in all dimensions has been known for a long time. The purpose of my talk will be to introduce you to these objects, with an emphasis on how to think about them. This presentation will be spiced up with some models of four-dimensional regular solids, some of which you can build yourself. |
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