35 citations · 72 across the 15 of their papers we have counts for
15 papers
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…
Square-like quadrilaterals inscribed in embedded space curves
Jason Cantarella, Elizabeth Denne, John McCleary
The square-peg problem asks if every Jordan curve in the plane has four points which are the vertices of a square. The problem is open for continuous Jordan curves, but it has been…
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…