201 citations · 524 across the 16 of their papers we have counts for
16 papers
Knot Fertility and Lineage
Jason Cantarella, Allison Henrich, Elsa Magness +4
In this paper, we introduce a new type of relation between knots called the descendant relation. One knot is a descendant of another knot if can be obtained from a mini…
Rigid Origami Vertices: Conditions and Forcing Sets
Zachary Abel, Jason Cantarella, Erik D. Demaine +5
We develop an intrinsic necessary and sufficient condition for single-vertex origami crease patterns to be able to fold rigidly. We classify such patterns in the case where the cre…
The tight knot spectrum in QCD
Roman V. Buniy, Jason Cantarella, Thomas W. Kephart +1
We model the observed mesonic mass spectrum in terms of energies for tightly knotted and linked chromoelectric QCD flux tubes. The data is fit with one and two parameter m…
The 27 possible intrinsic symmetry groups of two-component links
Jason Cantarella, James Cornish, Matt Mastin +1
We consider the "intrinsic" symmetry group of a two-component link , defined to be the image of the natural homomorphism from the standard symmetry group $\MCG(S^3,L)$ to…
The Shapes of Tight Composite Knots
Jason Cantarella, Al LaPointe, Eric Rawdon
We present new computations of tight shapes obtained using the constrained gradient descent code RIDGERUNNER for 544 composite knots with 12 and fewer crossings, expanding our data…
Ropelength Criticality
Jason Cantarella, Joseph H. G. Fu, Robert Kusner +1
The ropelength problem asks for the minimum-length configuration of a knotted diameter-one tube embedded in Euclidean three-space. The core curve of such a tube is called a tight k…