The talks from the @vsac2022 conference symposium I "Realities of Geometries" are now online. If you are interested in #MathArt and #illustratingmath, give them a look here: youtube.com/playlist?list=… (10-15 min. per talk). A short presentation of the talks as thread🧵. (1/5)
First talk is by me, @msmathcomp. I am speaking about the generalization of #Chladni figures to the third dimension. Thereby, the intersection of sound waves becomes tangible, e.g., in the form of a #3dprint. . (2/5)
Second talk is by Teresa Hunyadi (teresahunyadi.com) and @davemurrayrust. They speak about deformations of #PenroseTilings. Their realizations include #CNC millings of the tilings as well as baked clay forms. . (3/5)
Third talk is by Rinus Roelofs (rinusroelofs.nl). He presents a new class of folding polyhedra that are inspired by Albrecht #Dürer. His presentation includes various #3D animations of the foldings, which he also realized as paper models. . (4/5)
Last but not least, Anna Maria Hartkopf and Johanna Michaels from @MIP_labor present their project on "A #VR journey through the geometry of space". This #scicom work showcases the differences between Euclidean and hyperbolic geometry. . Enjoy! (5/5)

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More from @msmathcomp

Jun 29, 2022
#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… Graphical Abstract of the P...
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 An illustration of the subd...
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 An illustration of the subd...
Read 13 tweets

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