Not Knot (Part 2/2)

Part 2 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

[VoyagesInEnglish]

i got it untill they started on fractals

[britoca]

they never start on fractals...

[VoyagesInEnglish]

well you know the part with the infinite man and the bucky balls?

[britoca]

ah yeah, that part is a tad tricky

[AeronStahl]

Wow... I feel like the monkey at the beginning of Kubrick's Space Odyssey.

[britoca]

as if you touched the monolith? :)

[rj12124]

that started as a simple math trick and quickly morphed into a kaleidoscopic acid trip.

[Dreamcube017]

I know what you mean. The hyperbolic shape kind of threw me for a loop.

[Dodo0Reloaded]

my mind got molested

[ihatethesensors]

Does anyone want to touch my monolith? hahaha

[hgjf3]

It's equivalent in 3D maybe 6D for this distorted space from previous chapter.

A maze with same map as this example is the Hogwartz what contain the stairs vortexes and hallways vortexes. Detail show at movie "HARRY POTTER AND THE DEATHLY HALLOWS" at "stairs scene" and at "Requirem Room scene".

[Robert Haraway]

Ratcliffe and Tschantz proved that the closed orientable hyperbolic 4-manifold of minimum volume is gotten by gluing up the sides of the 24-cell. I don't know what's been done on gluing up the 120-cell.

[GorgeousGeorge108]

Does any of this connect with the 4D 120-cell???

[TheLivirus]

Haha yeah. :D

"Welcome to your first test chamber in the hyperbolic space! See the exit over there? The door is open. You just need to get there.

...and oh, to make the chamber a bit more exiting, time is now a twodimensional plane bent into a mobius strip. GOOD LUCK!"

[doorpack1]

Portal 3: New tests have begun on the subject's response to being put into various topological spaces.

[Kram1032]

I'd love to see the apeirohedral version of that space. And I wonder what knot it is that produces that... - probably an extension of the bolomial rings to infinitely many rings?

[Prince Virginia]

get high at

4:32