Discover and read the best of Twitter Threads about #MathArt

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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)
Read 5 tweets
#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
Coalesce is coming to SuperRare Friday, July 1st. It’s a collection based on circle packing and simplex noise. What began as a response to a Genuary prompt slowly developed into a larger concept. This project is the culmination of several months’ efforts.

#generative #codeart Image
The collection is divided into styles or sets, consisting of five pieces each. They're set apart by the combination of constraints used to place the circles, giving rise to different forms. Coalesce is the name of the collection as well as the first series in the collection.
The four styles are Coalesce, Multifield, Colorshift, and Lens. A new style will be released each Friday. Additional styles may be added in the future, but no further works will be added to the current sets.
Read 11 tweets
A rainbow of birds is flying in a hyperbolic manifold. Each one flies in a straight line, and initially, they form a tight single file. However, because of numerical precision errors, they quickly end up flying all over the place. #mathart (1/3)
This is because of negative creature: when two birds fly "parallel" with a short distance between them, new space grows exponentially between them. The videos start 20s after the start of the simulation -- you need only this much time (in the current implementation). (2/3)
A three-dimesional version -- unfortunately it is more difficult to see what's going on here. (3/3)
Read 3 tweets
This is how it looks with particles 🌊🌊🌊 😃

Select the last option in this @p5js applet:

jcponce.github.io/calculus/diff-…
🌊🌊🌊 😃 #mathart @geogebra Image
Read 3 tweets
Making things with your hands is wonderfully therapeutic - great for stress relief & attaining a state of flow.

With that in mind: a thread of hands-on 3D maths projects for lockdown👇👇👇

#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths #Mathsart #MathArt #MakersGonnaMake
1) First off, one of my old favourites: a dodecahedral kusudama flower ball 🌸😍🌸

You could make a daffodil-yellow version for Easter... 🐰🐣💐

Instructions: wikihow.com/Make-a-Kusudam… & wikihow.com/Make-a-Kusudam…

#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
2) Something yummy next: a self-supporting, hyperbolic paraboloid @Pringles ring 😋😋😋

More info here: interestingengineering.com/geometry-of-pr…

Or use Erik Demaine’s instructions to fold paper versions: erikdemaine.org/hypar/

#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
Read 17 tweets
Clarissa Grandi (@c0mplexnumber) does some great #mathart inspired by the #Alhambra so I'm going to use her #Inktober2019 thread and add the corresponding pictures that I took at @MuseoAlhambra. #thread 1/n Image
This pattern is much bigger than I thought, (1st room). Two sizes, on one wall the rectangles have the size of a brick. I noticed it's just a small change in the rectangle&square pattern, common on the andalusian floors, also in this room. #Alhambra 2/n
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Same pattern, greater size and used and the rectangle & square floor with decorated squares. #Alhambra 3/n
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Read 32 tweets
My wife asked if I could make something like this photo (but a little different) so we could print it up and put it up in our house.... Um ... YES I CAN! #mathart
(what I have after a bit of hacking around)
Plus, any project that naturally uses phi is awesome!
Read 16 tweets

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