looking for books ,articles-with lots of nice pictures of movie moves

Originally posted by jungjedi
looking for books ,articles-with lots of nice pictures of movie moves

many courses on algebraic topology do some knot theory. there is an intro level book by armstrong which has some knot theory called "basic topology"

you can also go check mathworld

What is knot theory to be more exact? As much as I can fugure, it is a study of knots mathematically. Like, is it possible to make one knot into another without cutting it or sliding one of the ends through a loop (something like that). It sounds very much like topology. I assume that because it does, we can talk about knots in the 10th dimension and if it is possible to make one knot into another. Hehe. What applications does this have besides the Boy Scouts? I am not trying to sound ignorant :p I know there are many uses... ("What good is number theory? I mean.. gosh" - "!!!!!!! WHAT?!?!" :) )

Originally posted by 4DHyperCubix
What is knot theory to be more exact? As much as I can fugure, it is a study of knots mathematically.
i would agree

Like, is it possible to make one knot into another without cutting it or sliding one of the ends through a loop (something like that).
yup.
It sounds very much like topology.
it is topology.
I assume that because it does, we can talk about knots in the 10th dimension and if it is possible to make one knot into another.

well, usually when we say knots, we mean 1 dimensional objects, that is a circle embedded in R³ in some nontrivial way. there aren t any new knots that fit in Rⁿ for n>3 that don t also fit in R³, so there is no point talking about knots in 11 (say) dimensional space.

it is worth noting that there is only one way to embed the circle in R²: the unknot (which is no not at all)

on the other hand, you might want to talk about higher dimensional objects. like the sphere. it is possible to embed the sphere with a "knot", but not in R³. the only embedding of the sphere in R³ is the familiar one, analogous to the unknot.

knots are very much in the relm of flatland.some of the must interesting applications come fom the studies if knots embedded in spheres on torus,manifolds.i wonder if they can be embedded on hypertorus:rolleyes:

What kind of real-life appliations can anything think of for knot theory?

there is a process used to make linked knotted molecules called a catenane.the nazis udes knots placed on intervals on a string to record data for early computers.