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词条 Polytetrahedron
释义

  1. See also

  2. References

Polytetrahedron is a term used for three distinct types of objects, all based

on the tetrahedron:

  • A uniform convex 4-polytope made up of 600 tetrahedral cells. It is more commonly known as a 600-cell or hexacosichoron. Other derivative 4-polytope are identified as polytetrahedra, where a qualifying prefix such as rectified or truncated is used.
  • A connected set of regular tetrahedra, the 3-dimensional analogue of a polyiamond. Polytetrahedra and polyiamonds are related as polycubes are related to polyominoes.
  • In origami, a polypolyhedron is "a compound of multiple linked polyhedral skeletons with uniform nonintersecting edges"  . There exist two topologically distinct polytetrahedra, each made up of four intersecting triangles.
{{Portal|Origami}}

See also

  • Compound of five tetrahedra
  • Compound of ten tetrahedra

References

  • {{Cite OEIS|sequencenumber=A119602|name=Number of nonisomorphic polytetrahedra with n identical regular tetrahedra connected face-to-face and/or edge-to-edge (chiral shapes counted twice)}}
  • {{cite paper

| author = Lang, Robert J
| title = Polypolyhedra in Origami
| url = http://www.langorigami.com/science/computational/polypolyhedra/polypolyhedra.php
| format = PDF
| accessdate = 2006-12-16 }}{{Polychora-stub}}

4 : Polytopes|Polychora|Polyhedra|Paper folding

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