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A Quartic Surface of Integer Hexahedra

History and Overview 2009-09-25 v2 Number Theory

Abstract

Using a quartic surface and its rational curves we can give an infinite number of integer hexahedra; these are 6 sided 3d solids, each face a trapezoid, with all sides and diagonals having intger lengths.

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Cite

@article{arxiv.math/9912032,
  title  = {A Quartic Surface of Integer Hexahedra},
  author = {Roger Alperin},
  journal= {arXiv preprint arXiv:math/9912032},
  year   = {2009}
}

Comments

3 large pictures included