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Landscapes of the Octahedron
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classification
math.COmath.MG
keywords
landscapespathsshortestformulasidentifylengthspointsbeen
read the original abstract
The landscapes of a polyhedron are subsets of its nets one must consider to identify all shortest paths. Landscapes of cubes and tetrahedra have been used to identify coordinate based formulas for the lengths of the shortest paths between points on these surfaces. We extend these results to develop formulas for the lengths of the shortest paths between points on the surface of octahedra.
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