Not Knot (Parts 1 and 2)
By Murray Bourne, 30 Sep 2007
Not Knot is a good thinking trigger.
I enjoyed topology when I studied it and I still remember trying to imagine multi-dimensional spaces and then having to draw them on a highly inadequate 2 dimensional piece of paper.
According to the Not Knot blurb on YouTube:
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.
Here's Part 1:
Now for Part 2:
See the 1 Comment below.
2 Oct 2007 at 7:33 am [Comment permalink]
As a matter of fact, I didn't notice it...but then again, I have never heard of Lobachevskian geometry. Absolutely fascinating videos, though! I am going to have to ponder this and then watch them again.