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Baltic Way
1993 Baltic Way
20
20
Part of
1993 Baltic Way
Problems
(1)
Baltic way 93
Source: Combinatory
8/25/2007
Let
Q
\mathcal Q
Q
be a unit cube. We say that a tetrahedron is good if all its edges are equal and all of its vertices lie on the boundary of
Q
\mathcal Q
Q
. Find all possible volumes of good tetrahedra.
geometry
3D geometry
tetrahedron
geometric transformation
dilation