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

[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

[Kyli Rouge]

Thank goodness theory isn't reality.

[britoca]

black holes

[aplasticfeast]

what if the whole universe is just like

one giant knot man

we just gotta untie it

[PiBBP]

Thanks for uploading this video.

[antiprismatic]

Whenever I am having a Crisis of identity or need to Understand perfection and Wonderment I watch this video and its partner. It is truly magnificent.

[SquareWaveHeaven]

7:20 blows my mind every time :)

[Nelson Garcia]

At 1:53, I have Led Zeppelin in my head.

[EigenvectorSeven]

I'm so high right now.

[QuiteRiQuite]

Urm, what does the second half of the video have to do with knot theory?

[oker59]

William Thurston passed away in August 21, 2012

[rhaeven]

No, it's the sound of the X-Buster being charged up from Mega Man X 8. The exact same sound.

[hgjf3]

super the space!

So show a 4D space lake maze from games "JET SET WILLY" and "PRINCE OF PERSIA 4D"

[Robert Haraway]

1:40 Isn't that the Triforce sound?

[oker59]

everybody knows that this video and a "turning a sphere inside out" is available on dvd at amazon, right? It also somewhat unexpectedly to me came with a booklet showing the mathematics behind it all!