Author Topic: Software to enumate knots  (Read 658 times)

jmlucassen

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Software to enumate knots
« on: September 10, 2018, 06:38:50 PM »
Does anyone know of a program or algorithm that generates all possible knots (presumably, from simple to complex)?

Dan_Lehman

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Re: Software to enumate knots
« Reply #1 on: September 11, 2018, 01:45:03 AM »
... all possible knots ...
That's an infinity you're asking for
(if no sort of upper bounds of complexity/crossings
are stipulated.)

For practical knots, I can't imagine anyone coming
close to figuring this out; OTOH, someone I suppose
could arrange to spit out everything to be found in
Ashley's Book of Knots.

--dl*
====
« Last Edit: September 28, 2018, 09:16:54 PM by Dan_Lehman »

DerekSmith

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Re: Software to enumate knots
« Reply #2 on: October 31, 2018, 04:37:15 PM »
Much like an infinite number set, you can always add another 1 to the biggest number you have, so with any knot set, you can always add another turn or tuck to the biggest (most complex) knot you have.

Strangely, many of our fellow knotters seem intent on getting ever closer to that illusive    ...

Derek