Not Knot (Part 1/2)

Part 1 of 2 of Not Knot.

Not Knot is a guided tour into computer-animated hyperbolic space. It proceeds from the world of knots to their complementary spaces -- what's not a knot. Profound theorems of recent mathematics show that most known complements carry the structure of hyperbolic geometry, a geometry in which the sum of three angles of a triangle always is less than 180 degrees.

http://www.geom.uiuc.edu/video/NotKnot/

Category:

Film & Animation

Tags:

• Not Knot
• Geometry
• Knot
• theory
• math
• mathematics
• hyperbolic
• topology
• animation

[turkeyman64]

how so for economics?

[britoca]

not sure, it was just a guess, hence the word "maybe".

[turkeyman64]

what career areas would require an extensive knowledge of geometry like this?

[britoca]

quantum physics and astronomy are the obvious ones. Others I'm not sure, maybe some engineering fields and economics

[defect530]

so if you are directly over a cone and its coming up at you to stab you in the face you would never see it? cool

[britoca]

a perfectly smooth cone, under perfect lighting, yes

[aplasticfeast]

what if the whole universe is just like

one giant knot man

we just gotta untie it

[PiBBP]

Thanks for uploading this video.

[ilifeform]

4:29 Wormholes and SpaceWarp

[ciucinciu]

at 7:28 i felt my brain ingnitig in flames instantly

[Cmu6eh]

@turkeyman64 Mathematics

[hypermorphism]

@turkeyman64 Also molecular biology, for which protein folding and simulation involves the application of many theorems in modern knot theory. Different environments influence proteins to fold in different ways, and two different folds of the same chemical formula usually yield completely different behaviors.

[SquareWaveHeaven]

1:20 when two loops come apart from eachother, it is known to produce a sound similar to the star trek doors opening. Or is it closing?

[TheSujit123]

i ve started loving knot theory!

[jbichotte]

nice sound effects

[parkourGumby]

@turkeyman64 better answer: "who cares?"

[wenaolong]

@aplasticfeast The knot-tiers won't let you....