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@MirceaSci | |||||
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Take a regular tetrahedron of sidelength 1 and on each of its 4 faces, build (externally) a regular tetrahedron sharing that face.
The centers of symmetry of these 4 new tetrahedra form another regular tetrahedron.
What is its sidelength? pic.twitter.com/FF6XUO22c3
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Mircea Petrache
@MirceaSci
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27. pro |
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(Hint/bonus: the formula generalizes if we imitate the construction in n dimensions, for n=1,2,3,4,..)
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Harald Bohr
@harald_bohr
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28. pro |
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2/n
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Ian Agol
@agolian
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28. pro |
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