Polytopes with tangled disclinations

Jan, 1986
8 pages
Published in:
  • EPL 1 (1986) 571-578,
  • EPL 2 (1986) 157 (erratum)

Citations per year

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Abstract: (IOP)
Polytopes have proved to be interesting ideal models for the description of many disordered systems. We present here a new method for introducing disciplination lines in a polytope. These lines are members of a fibration of S3 by great circles. In the compact structure case, the disclinated polytopes are in one-to-one correspondance with triangulated polyhedra derived from the icosahedron. We also present a geometrical model of melting on S3.
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