Knots with exactly 10 sticks

DOI10.1142/S021821652050011XzbMath1439.57005arXiv1909.06947MaRDI QIDQ5111772

Nathaniel Morrison, Thomas D. Eddy, Clayton Shonkwiler, Ryan C. Blair

Publication date: 27 May 2020

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.06947

zbMATH Keywords

knotsbridge indexstick numbersuperbridge indexrandom polygons

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Knot theory (57K10)

Related Items (4)

New superbridge index calculations from non-minimal realizations ⋮ New Stick Number Bounds from Random Sampling of Confined Polygons ⋮ The stick number of rail arcs ⋮ New computations of the superbridge index

Uses Software

• SnapPy
• KnotInfo
• GitHub
• stick-knot-gen

Cites Work

• The symplectic geometry of closed equilateral random walks in 3-space
• A new knot invariant
• Energy, ropelength, and other physical aspects of equilateral knots.
• Wirtinger systems of generators of knot groups
• Coxeter groups and meridional rank of links
• Statistical topology of closed curves: Some applications in polymer physics
• THE PROJECTION STICK INDEX OF KNOTS
• AN ELEMENTARY INVARIANT OF KNOTS
• Stick Numbers and Composition of Knots and Links
• Polygon Indices and Superbridge Indices of Torus Knots and Links
• GEOMETRIC KNOT SPACES AND POLYGONAL ISOTOPY
• Symmetric quotients of knot groups and a filtration of the Gordian graph
• New Stick Number Bounds from Random Sampling of Confined Polygons
• STICK AND RAMSEY NUMBERS OF TORUS LINKS
• Ramsey Theorems for Knots, Links and Spatial Graphs

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