Can Computers Discover Ideal Knots?
From MaRDI portal
Publication:5317275
DOI10.1080/10586458.2003.10504499zbMath1073.57003OpenAlexW1978305449MaRDI QIDQ5317275
Publication date: 16 September 2005
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.em/1087329232
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (7)
A 1D MODEL FOR A CLOSED RIGID FILAMENT IN STOKES FLOW ⋮ POLYGONAL KNOT SPACE NEAR ROPELENGTH-MINIMIZED KNOTS ⋮ Discrete thickness ⋮ Discrete thickness ⋮ Knot Tightening by Constrained Gradient Descent ⋮ ERROR ANALYSIS OF THE MINIMUM DISTANCE ENERGY OF A POLYGONAL KNOT AND THE MÖBIUS ENERGY OF AN APPROXIMATING CURVE ⋮ Quadrisecants give new lower bounds for the ropelength of a knot
Cites Work
- Family of energy functionals of knots
- Thickness of knots
- A simple energy function for knots
- Global curvature and self-contact of nonlinearly elastic curves and rods
- On the minimum ropelength of knots and links
- Energy, ropelength, and other physical aspects of equilateral knots.
- On the total curvature of knots
- Thicknesses of knots
- Global curvature, thickness, and the ideal shapes of knots
- Torus Knots Extremizing the Möbius Energy
- Knot Energies by Ropes
- THE LOWER BOUNDS OF THE LENGTHS OF THICK KNOTS
- EXISTENCE OF IDEAL KNOTS
- A topological invariant to predict the three-dimensional writhe of ideal configurations of knots and links
- APPROXIMATING SMOOTH THICKNESS
- THE MINIMUM OF KNOT ENERGY FUNCTIONS
- Geometry and physics of knots
This page was built for publication: Can Computers Discover Ideal Knots?
