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Video Productions: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 theorem of recent mathematics whow that most know complements carry the structure of hyperbolic sgeometry, a geometry in which the sum of the three angles of a triangle is always less than 180 degrees.

Images:

1. [1-D Euclidean Tiling] 2. [2-D Cone Space] 3. [2-D Euclidean Tiling] 4. [3-D Cone Space]

  1. 1-D Euclidean Tiling
  2. 2-D Cone Space
  3. 2-D Euclidean Tiling
  4. 3-D Cone Space
1. [3-D Euclidean Tiling] 2. [4 Dodecahedra in Hyperbolic Space] 3. [Borromean Ring Complement Manifold 1] 4. [Borromean Ring Complement Manifold 2]
  1. 3-D Euclidean Tiling
  2. 4 Dodecahedra in Hyperbolic Space
  3. Borromean Ring Complement Manifold 1
  4. Borromean Ring Complement Manifold 2
1. [Borromean Ring Complement Manifold 3] 2. [Borromean Rings in 3-D] 3. [Borromean Rings] 4. [Cube with 1st Pair Glued]
  1. Borromean Ring Complement Manifold 3
  2. Borromean Rings in 3-D
  3. Borromean Rings
  4. Cube with 1st Pair Glued
1. [Cube with 2nd Pair Glued] 2. [Cube with 3 Pair Colored Axes] 3. [Cube with 3rd Pair Glued] 4. [Cube with Borromean Rings Cut Out]
  1. Cube with 2nd Pair Glued
  2. Cube with 3 Pair Colored Axes
  3. Cube with 3rd Pair Glued
  4. Cube with Borromean Rings Cut Out
1. [Figure 8 Knot] 2. [Hyperbolic Dodecahedron] 3. [Hyperbolic Space Tiled with Dodecahedra, 1] 4. [Hyperbolic Space Tiled with Dodecahedra, 2]
  1. Figure 8 Knot
  2. Hyperbolic Dodecahedron
  3. Hyperbolic Space Tiled with Dodecahedra, 1
  4. Hyperbolic Space Tiled with Dodecahedra, 2
1. [Life in 3-D Cone Space] 2. [Not Knot Poster] 3. [The Borromean Ring Complement Manifold] 4. [The Order-7 Borromean Ring Orbifold]
  1. Life in 3-D Cone Space
  2. Not Knot Poster
  3. The Borromean Ring Complement Manifold
  4. The Order-7 Borromean Ring Orbifold
1. [Title,
  1. Title, "Not Knot"
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