Publications


Research Articles

  1. A Spectrum for α-Regular Unknots (2012)

  2. The Generation of Random Equilateral Polygons (2011)

  3. Characterizing polygons in R3 (2002)

  4. Convexifying polygons with simple projections (2001)

  5. Teoría de nudos geométricos e isotopía poligonal (2001)

  6. The embedding space of hexagonal knots (2001)

  7. Geometric knot spaces and polygonal isotopy (2001)

  8. Minimal edge piecewise linear knots (1999)

  9. Knot enumeration through flypes and twisted splices (1997)

Books and Manuscripts

  1. Scientific Programming Using Maxima (2014; in progress)

  2. A Mathematical Tour of Functions (2010; 2011; 2013)

  3. Physical and Numerical Models in Knot Theory Including Applications to the Life Sciences (2005)

  4. Physical Knots: Knotting, Linking, and Folding Geometric Objects in R3 (2002)

  5. Geometric Knot Theory:  The Classification of Spatial Polygons With a Small Number of Edges (1998)