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Python code written to manipulate uber and petal knots. Operations currently include random generation, volume calculation (using Jeff Weeks's SnapPy), and bipyramid volume upper bounds.

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multiknots

###Overview: Python code written to manipulate über knots and petal knots. This came from undergraduate research in hyperbolic knot theory, and it was used for experimental results that appear in Section 3.5 of ["Bipyramid Decompositions of Multi-crossing Link Complements"] (http://unbound.williams.edu/theses/islandora/object/studenttheses%3A126)

###Capabilities currently include:

  • Random generation of uber and petal knots.
  • Calculation of the hyperbolic volumes of knot complements (by interfacing with Jeff Weeks's SnapPy program and associated snappy Python module).
  • Calculation of volume upper bounds derived from the bipyramid decompositions that appear in the research above.

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Python code written to manipulate uber and petal knots. Operations currently include random generation, volume calculation (using Jeff Weeks's SnapPy), and bipyramid volume upper bounds.

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