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Mircea Petrache
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?
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Mircea Petrache 27. pro
Odgovor korisniku/ci @MirceaSci
(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 28. pro
Odgovor korisniku/ci @MirceaSci
2/n
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Ian Agol 28. pro
Odgovor korisniku/ci @MirceaSci @gregeganSF
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