[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/HoudiniHowtos/tree/master/0042%20Hyperbolic%20Tiling [References] Non-Euclidean Geometry / Interactive Hyperbolic Tiling in the Poincare Disc: http://www.malinc.se/noneuclidean/en/poincaretiling.php Geometry with an Introduction to Cosmic Topology / Moebius Transformations: https://mphitchman.com/geometry/section3-4.html Wikipedia / Poincare disk model: https://en.wikipedia.org/wiki/Poincar%C3%A9_disk_model [Portal Page] Facebook Page: https://www.facebook.com/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/