What are...torus knots?
Goal.
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What are...torus knots? Or: Wind p times, wind q times.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
http://www.dtubbenhauer.com/youtube.html
Thumbnail.
https://services.math.duke.edu/~psa/c...
Main discussion.
https://en.wikipedia.org/wiki/Torus_knot
https://mathworld.wolfram.com/TorusKn...
http://katlas.math.toronto.edu/wiki/3...
https://blackpawn.com/texts/pqtorus/
https://oeis.org/A051764
https://oeis.org/A002863
https://oeis.org/A086825
Background.
https://www.math.cuhk.edu.hk/course_b...
https://en.wikipedia.org/wiki/Knot_(m...)
https://en.wikipedia.org/wiki/Knot_in...
https://en.wikipedia.org/wiki/Braid_g...
https://en.wikipedia.org/wiki/Reideme...
KnotAtlas.
http://katlas.math.toronto.edu/wiki/T...
SnapPy.
https://snappy.math.uic.edu/
Mathematica.
https://www.wolfram.com/language/12/m...
https://demonstrations.wolfram.com/To...
http://katlas.org/wiki/The_Mathematic...
Pictures used.
Pictures from • What are...knots?
https://services.math.duke.edu/~psa/c...
Pictures from https://www.dtubbenhauer.com/lecture-...
https://knotplot.com/knot-theory/toru...
https://upload.wikimedia.org/wikipedi...
Pictures from www.oeis.org
YouTube and co.
• Torus knots
• On the Torus Knot
• Torus Knots explained!
#knottheory
#topology
#mathematics