Inscribing cubes and covering by rhombic dodecahedra via equivariant topology
First, we prove a special case of Knaster's problem, implying that each symmetric convex body in R^3 admits an inscribed cube. We deduce it from a theorem in equivariant topology, which says that there is no S_4-equivariant map from SO(3) to S^2, where S_4 acts on SO(3) as the rotation group of...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
1999
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