Houdini Tutorial 0042 Hyperbolic Tiling Poincare disk tiling











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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/

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