Knots and Polytopes

Abstract

A construction of polytopes is given based on integers. These geometries are constructed through a mapping to pure numbers and have multiple applications, including statistical mechanics and computer science. The number form is useful in topology and has a mapping to one-dimensional knot contours.

15 pages, LaTeX, 2 figures

References in corpus (2)

• Integer and Rational Solutions to Polynomial Equations
• A New Knot Invariant

Cited by in corpus (1)

• Integer and Rational Solutions to Polynomial Equations