[Houdini Tutorial] 0042 Hyperbolic Tiling (Poincare disk tiling)
In this video I'm showing how you can create a hyperbolic tiling pattern on a poincare disk model using Houdini. You can also change the position of the initial position of the first polygon to start the tiling with.
00:00:00 Opening
00:00:12 Algorithm explained: Euclidean vs hyperbolic tiling
00:08:17 Algorithm explained: Basic flow how to create hyperbolic tiling
00:17:58 Algorithm explained: How to move initial polygon
00:27:37 Houdini: Create initial polygon
00:59:05 Houdini: Setup before create tiling
01:11:17 Houdini: Expanding tiling pattern
01:31:36 Houdini: Final visualization
[Project File] https://github.com/jhorikawa/HoudiniH...
[References]
Non-Euclidean Geometry / Interactive Hyperbolic Tiling in the Poincare Disc: http://www.malinc.se/noneuclidean/en/...
Geometry with an Introduction to Cosmic Topology / Moebius Transformations: https://mphitchman.com/geometry/secti...
Wikipedia / Poincare disk model: https://en.wikipedia.org/wiki/Poincar...
[Portal Page]
Facebook Page: / parametricproceduralhoudini
[Books]
Algorithmic Design with Houdini: http://www.bnn.co.jp/books/9788/
Tiling Pattern with Houdini: https://gumroad.com/l/OVDgY
Books on BOOTH: https://orangejellies.booth.pm/