Maximal Unit Lengths in 3D
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Put points in 3D space. What is the maximal number of unit lengths? For four points, it is obvious the maximal number is six unit lengths, using a tetrahedron. With five points, two joined tetrahedra give nine unit lengths.[more]
This Demonstration gives the following best-known solutions up to 20 points.
If you can find missed solutions matching or surpassing the best known maximum values, please send them to the author.[less]
Contributed by: Ed Pegg Jr and Thomas Rokicki (August 2016)
Open content licensed under CC BY-NC-SA
The distances shown here are actually to make the points friendlier.