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A heptahedron is a closed 3-d shape with 7 polygonal faces. There are 34 topologically different convex heptahedra and, since none of these are regular, the term is ambiguous. There can be:

  • no parallel edges,
  • five pairs of parallel edges and two quintet,
  • three quartets,
  • two pairs and one triplet

as well as many other combinations.

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