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Mathematics
General Math
Distance between points on a regular tetrahedron
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[QUOTE="mfb, post: 6053597, member: 405866"] That is the definition of a regular tetrahedron.Of the same side length. These side lengths are the distances between the corners.That is right and you can find a 4-dimensional shape with five equidistant points. You can prove that a line, a triangle and a tetrahedron are the only options to arrange 2,3,4 points such that all pairs have the same distance, and it is easy to show that you cannot add a fifth point in three dimensions with the same property. [/QUOTE]
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Mathematics
General Math
Distance between points on a regular tetrahedron
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