Nicolas Lebrun · @nclslbrn
312 followers · 1145 posts · Server mstdn.io
Delajor🍞 · @Onsequitur
93 followers · 509 posts · Server genart.social
Nicolas Lebrun · @nclslbrn
312 followers · 1144 posts · Server mstdn.io
Delajor🍞 · @Onsequitur
88 followers · 492 posts · Server genart.social
Nicolas Lebrun · @nclslbrn
312 followers · 1138 posts · Server mstdn.io
Nicolas Lebrun · @nclslbrn
312 followers · 1138 posts · Server mstdn.io
Nicolas Lebrun · @nclslbrn
313 followers · 1129 posts · Server mstdn.io
Delajor🍞 · @Onsequitur
88 followers · 485 posts · Server genart.social

I want to make sure the reaction diffusion system responds when the domain expands and contracts.

#mathart #generativeart #genart #algoart #algorithmicart #sculpture #algorithmicsculpture

Last updated 1 year ago

Delajor🍞 · @Onsequitur
88 followers · 485 posts · Server genart.social
Delajor🍞 · @Onsequitur
85 followers · 474 posts · Server genart.social

These are the Grey-Scott Equations:
𝑑𝑑𝑡𝑢=𝐷𝑢(△𝑢)+𝐹(1−𝑢)−𝑢𝑣2
𝑑𝑑𝑡𝑣=𝐷𝑣(△𝑣)+𝑢𝑣2−𝑣(𝐹+𝑘)

Kim's solution involved solving a polynomial derived from rearranging the reaction so that u is in terms of v which results in a polynomial, probably to avoid the matrix inversion required by the multi-variable Newton solve. 3/n

#mathart #generativeart #genart #algoart #algorithmicart #sculpture #algorithmicsculpture

Last updated 1 year ago

Delajor🍞 · @Onsequitur
85 followers · 474 posts · Server genart.social

These are the Grey-Scott Equations:
𝑑𝑑𝑡𝑢=𝐷𝑢(△𝑢)+𝐹(1−𝑢)−𝑢𝑣2
𝑑𝑑𝑡𝑣=𝐷𝑣(△𝑣)+𝑢𝑣2−𝑣(𝐹+𝑘)

Kim's solution involved solving a polynomial derived from rearranging the reaction so that u is in terms of v which results in a polynomial, probably to avoid the matrix inversion required by the multi-variable Newton solve. 3/n

#mathart #generativeart #genart #algoart #algorithmicart #sculpture #algorithmicsculpture

Last updated 1 year ago

Delajor🍞 · @Onsequitur
85 followers · 474 posts · Server genart.social

The problem with using an implicit Diffusion solve is that it tends to knock out all of the high order frequencies, so some of the wild oscillating behavior goes away.

@TheodoreKim proposed a solution to the problem here:

cs.unc.edu/~geom/SARD/stable_a

The idea is to use operator splitting and Newton Solve solve the reaction equation.

2/n

#mathart #generativeart #genart #algoart #algorithmicart #sculpture #algorithmicsculpture

Last updated 1 year ago

Nicolas Lebrun · @nclslbrn
313 followers · 1128 posts · Server mstdn.io
Nicolas Lebrun · @nclslbrn
313 followers · 1122 posts · Server mstdn.io

3D projection and 2D alteration

#creativecoding #algoart

Last updated 1 year ago

Nicolas Lebrun · @nclslbrn
313 followers · 1116 posts · Server mstdn.io

Made a lot of changes on this project (before/after below). It's not finished yet and I want to go further with the tool I'm using: thi.ng/umbrella.

#creativecoding #algoart

Last updated 1 year ago

Nicolas Lebrun · @nclslbrn
313 followers · 1113 posts · Server mstdn.io
Nicolas Lebrun · @nclslbrn
311 followers · 1105 posts · Server mstdn.io
Delajor🍞 · @Onsequitur
85 followers · 470 posts · Server genart.social
Delajor🍞 · @Onsequitur
83 followers · 453 posts · Server genart.social

This is the bound bunny with tangent-point repulsion on the curves. It got to ~200k vertices which ground the solver to a halt.

#genart #generativeart #algoart #algorithmicart #sculpture #generativesculpture #etc #art

Last updated 1 year ago

Nicolas Lebrun · @nclslbrn
308 followers · 1096 posts · Server mstdn.io

Juxtaposed parallelograms / artificial cubes (only tree side).

#creativecoding #algoart #protocolistart

Last updated 1 year ago