Discover and read the best of Twitter Threads about #Subdivision
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#Subdivision schemes don't only help finite element methods. In a recent paper, we present a #mathart application of creating #weaving patterns from said schemes. Furthermore, we extent these patterns to create a #jigsaw puzzle. Here's a thread.🧵1/13 doi.org/10.1080/175134… 
Computer simulations for, e.g., the weather, solve complex problems on a 2D domain. They mostly do so by splitting the domain into a finite set of smaller and simpler elements on which the simulation can be run fast and efficiently. This uses subdivision schemes. 2/13
If the output domain should be triangles, there is the Loop subdivision (see image from previous tweet), the butterfly🦋 scheme, or the √3 scheme. For output made of quadrilaterals, use mid-edge, Doo-Sabin, or Catmull-Clark. Irregular input gives irregular output, though. 3/13
