35 citations · 72 across the 15 of their papers we have counts for
14 papers · 1 filter
Linking number and folded ribbon unknots
Elizabeth Denne, Troy Larsen
We study Kauffman's model of folded ribbon knots: knots made of a thin strip of paper folded flat in the plane. The folded ribbonlength is the length to width ratio of such a folde…
Families of similar simplices inscribed in most smoothly embedded spheres
Jason Cantarella, Elizabeth Denne, John McCleary
Let denote a non-degenerate -simplex in . The set of simplices in similar to is diffeomorphic to $O(k)\times [0,\infty)\time…
Configuration Spaces, Multijet Transversality, and the Square-Peg Problem
Jason Cantarella, Elizabeth Denne, John McCleary
We prove a transversality "lifting property" for compactified configuration spaces as an application of the multijet transversality theorem: given a submanifold of configurations o…
Ribbonlength of families of folded ribbon knots
Elizabeth Denne, John Carr Haden, Troy Larsen +1
We study Kauffman's model of folded ribbon knots: knots made of a thin strip of paper folded flat in the plane. The folded ribbonlength is the length to width ratio of such a ribbo…
Ribbonlength and crossing number for folded ribbon knots
Elizabeth Denne
We study Kauffman's model of folded ribbon knots: knots made of a thin strip of paper folded flat in the plane. The ribbonlength is the length to width ratio of such a folded ribbo…
The Mathematics of Tie Knots
Elizabeth Denne, Corinne Joireman, Allison Young
In 2000, Thomas Fink and Young Mao studied neck ties and, with certain assumptions, found 85 different ways to tie a neck tie. They gave a formal language which describes how a tie…