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Delajor🍞 · @Onsequitur
93 followers · 509 posts · Server genart.social
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#mathart #generativeart #genart #algoart #algorithmicart #sculpture #algorithmicsculpture #sciart

Last updated 2 years ago
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Delajor🍞 · @Onsequitur
88 followers · 492 posts · Server genart.social
Open media

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

Last updated 2 years ago
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Delajor🍞 · @Onsequitur
88 followers · 485 posts · Server genart.social
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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 2 years ago
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Delajor🍞 · @Onsequitur
88 followers · 485 posts · Server genart.social
Open media

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

Last updated 2 years ago
Original post

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

These are the Grey-Scott Equations:
𝑑𝑑𝑑𝑒=𝐷𝑒(△𝑒)+𝐹(1βˆ’π‘’)βˆ’π‘’π‘£2
𝑑𝑑𝑑𝑣=𝐷𝑣(△𝑣)+𝑒𝑣2βˆ’π‘£(𝐹+π‘˜)

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 2 years ago
Original post

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

These are the Grey-Scott Equations:
𝑑𝑑𝑑𝑒=𝐷𝑒(△𝑒)+𝐹(1βˆ’π‘’)βˆ’π‘’π‘£2
𝑑𝑑𝑑𝑣=𝐷𝑣(△𝑣)+𝑒𝑣2βˆ’π‘£(𝐹+π‘˜)

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 2 years ago
Original post

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 2 years ago
Original post

Delajor🍞 · @Onsequitur
85 followers · 470 posts · Server genart.social
Open media

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

Last updated 2 years ago
Original post