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GitHub topics: knot-theory

wh-taylor/unknotter

Tools for manipulating and analyzing knot and link diagrams.

Language: Python - Size: 239 MB - Last synced at: 4 days ago - Pushed at: 4 days ago - Stars: 0 - Forks: 0

lennart-finke/knottingham

A Tool for Drawing Pretty Knots.

Language: JavaScript - Size: 633 KB - Last synced at: 2 days ago - Pushed at: 9 days ago - Stars: 58 - Forks: 5

luc-ta/GL-Rack-Classification

GAP programs for tabulating generalized Legendrian racks (also called GL-racks or bi-Legendrian racks) up to order 11. Data for all GL-racks up to order 8.

Size: 10.9 MB - Last synced at: 2 days ago - Pushed at: 14 days ago - Stars: 0 - Forks: 0

HenrikSchumacher/Knoodle

A collection of tools for handling knots and links in 3D and planar diagrams

Language: Mathematica - Size: 185 MB - Last synced at: 13 days ago - Pushed at: 14 days ago - Stars: 1 - Forks: 1

ryanmaguire/libtmpl

Library of tools for mathematicians and physicists.

Language: C - Size: 7.97 MB - Last synced at: 17 days ago - Pushed at: 17 days ago - Stars: 2 - Forks: 2

floriangeissler/casson-gordon-signatures

A Python script to compute Casson-Gordon sigma signatures of two-bridge knots using their 1986 formula in "Cobordism of Classical Knots". The script can optionally generate plots of the triangles and their corresponding lattice points using matplotlib.

Language: Python - Size: 7.81 KB - Last synced at: 24 days ago - Pushed at: 24 days ago - Stars: 0 - Forks: 0

aziis98/kauffman-polynomial

Course Project: Computational Laboratory - Implementation of the knot theory Kauffman polynomial regular isotopy invariant in Python

Language: Python - Size: 4.95 MB - Last synced at: 22 days ago - Pushed at: 3 months ago - Stars: 2 - Forks: 0

ArshiGh/Manifold-Covers-of-Prism-Orbifolds

Code and results from my thesis project: Jupyter notebooks aligned with Chapters 3-6. Read the thesis chapters for context before exploring.

Language: Jupyter Notebook - Size: 54.8 MB - Last synced at: 2 months ago - Pushed at: 2 months ago - Stars: 0 - Forks: 0

aziis98/knotscap Fork of dimpase/knotscap

Personal fork of KnotScape (a '90 knot theory software) with some compilation fixes

Language: C - Size: 4.36 MB - Last synced at: 3 months ago - Pushed at: 3 months ago - Stars: 1 - Forks: 0

mckeownish/Wiggle

Python library for implementing geometrical representations of curves.

Language: Python - Size: 347 KB - Last synced at: 4 months ago - Pushed at: 4 months ago - Stars: 2 - Forks: 0

ndriggs/conditional-link-generation

Generating knots and links with desired invariants. Thesis work for MS in mathematics from BYU, advisor Mark Hughes

Language: Jupyter Notebook - Size: 2.24 MB - Last synced at: 5 months ago - Pushed at: 5 months ago - Stars: 0 - Forks: 0

rhuid/thesis

My master's thesis in low-dimensional topology

Size: 7.03 MB - Last synced at: about 1 month ago - Pushed at: 5 months ago - Stars: 0 - Forks: 0

zkingston/unknot

Unknot Motion Planning

Language: C++ - Size: 738 KB - Last synced at: 5 months ago - Pushed at: 5 months ago - Stars: 1 - Forks: 0

ZsomborFeher/khovanov-cobordism

Khovanov Cobordism Calculator is a Python module to calculate cobordism maps induced on Khovanov homology.

Language: Python - Size: 160 KB - Last synced at: 6 months ago - Pushed at: 6 months ago - Stars: 0 - Forks: 0

hypergalois/RationalTangles

App to visualize and compute Rational Tangles.

Language: Python - Size: 418 KB - Last synced at: 6 months ago - Pushed at: 6 months ago - Stars: 0 - Forks: 1

rexgreenway/braid-visualiser

Python library providing functionality for the creation and rendering of Artin braids.

Language: Python - Size: 113 KB - Last synced at: 8 months ago - Pushed at: 8 months ago - Stars: 0 - Forks: 0

cbz20/khtpp

computing Khovanov invariants for links and tangles

Language: C++ - Size: 679 KB - Last synced at: about 2 months ago - Pushed at: 9 months ago - Stars: 5 - Forks: 0

iamjuaness/Knot

Knot is a Java library designed to model and visualize complex structures, such as knots, molecules and helical structures. Inspired by knot theory, this library allows you to graphically represent links between nodes with specific crossings, which is ideal for visually exploring patterns and connections in two-dimensional graphs.

Language: Java - Size: 39.1 KB - Last synced at: 3 months ago - Pushed at: 9 months ago - Stars: 0 - Forks: 0

CalebMus/thesis

The code involved with Caleb Musfeldt's undergraduate honors thesis.

Language: Python - Size: 16.6 KB - Last synced at: 9 months ago - Pushed at: 9 months ago - Stars: 0 - Forks: 0

Tutusaus/Knot_Theory

This repository contains my bachelor's thesis on knot theory, with a focus on the Jones polynomial and its role in classifying knots. The research covers essential knot invariants and their applications in areas like DNA structure and quantum computing.

Language: TeX - Size: 37.7 MB - Last synced at: 11 months ago - Pushed at: 11 months ago - Stars: 0 - Forks: 0

QuantuMope/imc-der

Contact model for 3D elastic rod simulations. Framework for knot tying.

Language: C++ - Size: 2.58 MB - Last synced at: about 1 year ago - Pushed at: about 1 year ago - Stars: 15 - Forks: 4

ThanThongTa/AsuentoJS

shows mathematically created 3D knots and let the user change the currently shown one

Language: JavaScript - Size: 457 KB - Last synced at: about 1 year ago - Pushed at: about 1 year ago - Stars: 0 - Forks: 0

waldyrious/tieknots.how-build

Copy of https://tieknots.how with a few tweaks

Language: HTML - Size: 462 KB - Last synced at: 5 months ago - Pushed at: about 1 year ago - Stars: 0 - Forks: 0

chinketsu/flatknot

FlatKnotInfo: A Table of Flat Knots.

Language: Python - Size: 632 MB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

IgorPietrzak/P-colourings-of-Knots

Get the number of p-colourings invariant of a knot represented as a closure of a braid.

Language: Rust - Size: 6.84 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

abinash7s/Simpler-Reidemeister-Moves

Three Reidemeister moves done simple.

Size: 1000 Bytes - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

designbynumbers/plcurve

an efficient C library for handling polygonal curves in 3-space and knot diagrams

Language: PostScript - Size: 390 MB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 2 - Forks: 2

designbynumbers/homebrew-cantarellalab

Homebrew formulae for the various software projects produced by Jason Cantarella's lab at UGA

Language: Ruby - Size: 18.6 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

DhruvPisharody/Knot-Topology

Language: Jupyter Notebook - Size: 11.7 KB - Last synced at: almost 2 years ago - Pushed at: over 2 years ago - Stars: 0 - Forks: 0

StructuresComp/rod-contact-sim

Contact model for 3D elastic rod simulations. Framework for flagella bundling.

Language: C++ - Size: 1.89 MB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 6 - Forks: 3

Shubhajit412/ADVANCING_MATHEMATICAL_INTUITION_USING-_AI

The repo contains the base code for the experiment conducted by DeepMind and published in Nature under the title 'Advancing mathematics by guiding human intuition using AI'. The data set contains various numeric dat about generic mathematical entities called Knots. A feed-forward neural network was employed to find pattern amongst knot attributes.

Language: Jupyter Notebook - Size: 17.1 MB - Last synced at: almost 2 years ago - Pushed at: almost 3 years ago - Stars: 1 - Forks: 0

Spektralzerleger/Gauge-Fields-Solutions

These are handwritten solutions of almost all exercises in "Gauge Fields, Knots and Gravity" by John Baez & Javier P. Muniain.

Size: 16.6 MB - Last synced at: almost 2 years ago - Pushed at: almost 5 years ago - Stars: 11 - Forks: 0

helali1993/reidemeister_planar_graphs

Preform Reidemeister moves on Signed Planar Graphs

Language: Python - Size: 10.2 MB - Last synced at: almost 2 years ago - Pushed at: almost 2 years ago - Stars: 0 - Forks: 0

mhajij/Algebraically_Informed_Deep_Nets

AIDN is a deep learning algorithm to represent any finitely-presented algebraic object with a set of deep neural networks.

Language: Python - Size: 162 MB - Last synced at: over 2 years ago - Pushed at: over 4 years ago - Stars: 7 - Forks: 0

RexGreenway/AlexanderData

Library for the calculation and understanding of the Alexander Data, a proposed invariant for textiles.

Language: Python - Size: 17.6 KB - Last synced at: over 2 years ago - Pushed at: almost 4 years ago - Stars: 0 - Forks: 0

mishun/tangles

Knot Theory library focusing on k-tangles

Language: Haskell - Size: 1.37 MB - Last synced at: over 2 years ago - Pushed at: about 3 years ago - Stars: 10 - Forks: 3

designbynumbers/ridgerunner

ridgerunner is a knot-tightening program.

Language: C - Size: 47.5 MB - Last synced at: almost 2 years ago - Pushed at: almost 2 years ago - Stars: 1 - Forks: 1

Mathesis-Software/Knots

A tool for drawing 2d diagrams, 3d knots, Seifert surfaces. Computes some knot properties and invariants.

Language: C++ - Size: 52 MB - Last synced at: over 2 years ago - Pushed at: over 3 years ago - Stars: 8 - Forks: 0

hunterjmatthews/The-Knot-Book

Solutions to The Knot Book by Colin Adams

Size: 73.2 KB - Last synced at: over 2 years ago - Pushed at: almost 3 years ago - Stars: 0 - Forks: 0

hunterjmatthews/Notre-Dame-Geometry-Topology-2022-RTG

Size: 4.45 MB - Last synced at: over 2 years ago - Pushed at: almost 3 years ago - Stars: 0 - Forks: 0

Izook/knotris

A mosaic knot tile game developed to make it easier and more entertaining to study knot mosaics.

Language: GDScript - Size: 327 MB - Last synced at: over 2 years ago - Pushed at: almost 5 years ago - Stars: 5 - Forks: 0

sava-1729/lattice-knots-vis

Python module to visualize Lattice Knots and Links in 3D, and analyse their distortion.

Language: Python - Size: 768 KB - Last synced at: over 2 years ago - Pushed at: about 3 years ago - Stars: 1 - Forks: 1

gsantia/Alexander-Polynomial

MS thesis in knot theory on methods for computing the Alexander polynomial

Language: TeX - Size: 30.6 MB - Last synced at: over 2 years ago - Pushed at: about 4 years ago - Stars: 0 - Forks: 0

melewitz/ICDIndicator

Language: C++ - Size: 5.59 MB - Last synced at: over 2 years ago - Pushed at: over 6 years ago - Stars: 0 - Forks: 0

NewAlexandria/knotscap Fork of dimpase/knotscap

A backup of Hoste & Thistlethwaite's knot software, as indexed on the Knot Atlas

Size: 4.35 MB - Last synced at: over 2 years ago - Pushed at: about 8 years ago - Stars: 0 - Forks: 0

Related Keywords
knot-theory 45 knots 12 mathematics 11 topology 9 math 6 low-dimensional-topology 5 khovanov-homology 3 physics-simulation 2 simulation 2 polygons 2 mechanics 2 computational-mechanics 2 deep-learning 2 thesis 2 computer-graphics 2 jones-polynomial 2 braid-groups 2 python 2 invariants 2 drawing 2 knot-diagram 2 knot 2 godot-engine 1 random-walk 1 random-polygons 1 knot-tightening 1 research 1 python3 1 p-colourings 1 knot-invariant 1 topological-data-analysis 1 pure-math 1 ties 1 necktie 1 combinatorics 1 webgl 1 javascript 1 glassmorphism 1 creative-coding 1 video-game 1 mayavi 1 algebraic-topology 1 mathematical-modelling 1 visualisation-tool 1 data-science 1 representation-theory 1 haskell 1 neural-networks 1 optimization 1 math-discovery-ai 1 machine-learning-algorithms 1 machine-learning 1 group-theory-algorithms 1 graph-theory 1 quantum-theory 1 john-baez 1 javier 1 handwritten-solutions 1 gravity 1 geometry 1 godot 1 gauge-fields 1 exercises 1 differential-geometry 1 nerual-network 1 writhe 1 saxs 1 protein-structure 1 protein-folding 1 c-ansi 1 orbifolds 1 hyperbolic-geometry 1 uv 1 sympy 1 kauffman-polynomial 1 homfly 1 optics 1 complex-numbers 1 c 1 astronomy 1 planar-diagrams 1 monte-carlo-simulation 1 knot-simplification 1 rack 1 quandle 1 legendrian-knots 1 exhaustive-search 1 contact-geometry 1 algebraic-structures 1 algebra 1 genus 1 design-and-analysis-of-algorithms 1 computer-science 1 applied-mathematics 1 patterns 1 nodes 1 library 1 java 1 graphs 1 data-structures 1