Tweet Archive 2022 02
Tom Scott visits Hutton’s Unconformity! https://youtu.be/EfdwRRpiYGQ
Replying to @leonard_ritter
Tricky in general. And not always 2D. (This one: https://timhutton.github.io/2014/06/30/The-parameter-map-of-a-partial-differen.html)
Replying to @tim_hutton
Fixed!
Replying to @leonard_ritter
There’s WebGL code for a Laplacian here: https://github.com/timhutton/webgl-reaction-diffusion/blob/gh-pages/index.html#L33-L51
Replying to @tim_hutton
A closer look.
Replying to @cas_group
The limit set of a Kleinian group. https://github.com/timhutton/mobius-transforms
Replying to @leonard_ritter
I use this: bilaplacian_a = (-10 * (a_n + a_w + a_e + a_s) + -2 * (a_nw + a_ne + a_sw + a_se) + a_n2w + a_n2 + a_n2e + a_nw2 + a_ne2 + a_w2 + a_e2 + a_sw2 + a_se2 + a_s2w + a_s2 + a_s2e + 36 * a) / (3 * dx * dx * dx * dx); Where n2 means ‘2 cells north’, etc.
Replying to @leonard_ritter
I just see a black rectangle.
The code looks like it is doing the laplacian and bilaplacian in 1D.
Ready will show you the OpenCL code for any pattern: View > View Full Kernel.
Replying to @leonard_ritter
Pretty close. Have DM’d you the full kernel. Sorry, no Linux binaries. dx=0.4 is the grid spacing.
Replying to @tim_hutton
Replying to @leonard_ritter
The way it does the edges is extremely pleasing.
Using reaction-diffusion to binarize an image gives very pleasing results. https://twitter.com/leonard_ritter/status/1489684886394916864
I’ve said it before but it delights me every time. Night Sight on Pixel phones is a brilliant bit of computer vision. I took this photo at night time. https://ai.googleblog.com/2019/11/astrophotography-with-night-sight-on.html
Replying to @tim_hutton
https://timhutton.github.io/mobius-transforms/dfs_recipes.html?id=maskit&mu.x=0.982380&mu.y=1.697475
Replying to @yellowcanary19
Real stars. You can see it handling the hot pixels and the rest of the noise during the capture process.
RT @KangarooPhysics: @henryseg @robinhouston
The limit set of a Kleinian group of two Möbius transformations and their inverses. By applying fractional powers of each transform we can show how they map the set onto itself. This self-similarity is what gives rise to its fractal nature. 1/3 https://timhutton.github.io/mobius-transforms/dfs_recipes.html
Replying to @tim_hutton
Compare with the same idea applied to a Julia set. Here the transformation is z → z²+c which wraps over itself every iteration. 2/3 https://youtu.be/iznx-trhCmo
Replying to @tim_hutton
Other transformations work too. The famous Barnsley fern uses affine transforms, as shown in this image from Wikipedia. 3/3 https://en.wikipedia.org/wiki/Iterated_function_system
Replying to @tim_hutton
A closer look. The transformations are ‘loxodromic’: they spiral away from one fixed point and towards another.
Replying to @chaoticmass and @sethllombardy
Sorry, they actually aren’t live yet - I need to fix some issues. If you want an early preview then you can checkout the fractional_transforms branch and try it locally.
Replying to @robinhouston
The love is real.
Replying to @robinhouston
When she bites you it’s because she loves you. (That’s what I tell myself.)
Replying to @timemit
In the book they explain that one of their grandmothers got a double first in mathematics from Newnham in 1892.
Replying to @chaoticmass and @sethllombardy
Sliders are now live. Please let me know of any bugs. https://timhutton.github.io/mobius-transforms/dfs_recipes.html
RT @nervous_system: Finally! A new product from Nervous System that isn’t a puzzle…or is it? the Puzzle Cell Lamp is an otherworldly wood…
RT @lucystonecarver: Supporting #BLM is not a political gesture - it’s about #fundamentalhumanrights. @Jacob_Rees_Mogg purports to a #Chris…
RT @womensart1: ‘Days become longer’ by Olga Kvasha, contemporary Ukranian painter #WomensArt
RT @jotero3d: kleinian groups 3d blender cycles ;) No Octane, Arnold, Maxwell, Redshift. #blender #hannover #jotero #fractal #kleinian_grou…