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• Post #4108612

  what if... one could construct a low precision #MandelbrotSet orbit corresponding to a specific high precision orbit, without doing any high precision calculations? I'm experimenting with constructing "tuned" periodic orbits by a simple algorithm (cycle one orbit, replacing the periodic 0 with successive values from a second orbit; scaled by Julia size of the first orbit, then iterate backwards with Newton's method to fix it up to be less approximate) seems to work in some s...

• Post #3597824

  https://uzu.lurk.org/t/challenge-non-linear-time-transform/6171 an interesting challenge was posted, I did a #TidalCycles thing with #MoebiusTransformation in response, but I don't have tidal fully running (only tidal-core and tidal-mondo, nothing hooked up to making sound) so i haven't been able to listen... the idea is that for time outside the arc (0, 2) time advances linearly as normal, but inside it smoothly speeds up and slows down, fitting in 4 cycles in the usual time fo...

• Post #3597823

  edit: CANCELLED due to extreme weather :( event in London next week: https://luma.com/london-evub Algorest Wednesday 24th June 2026 7pm Home Deptford, London SE8 4AD I'll be doing visuals early in the night using Mandeltron, my work in progress thing for live-coding the Mandelbrot Set. https://mathr.co.uk/web/mandeltron.html

• Post #3597822

  Guillaume Collombet (with assistance from LLM...) on fractal chats discord suggested using #MoebiusTransformation instead of #LinearApproximation to accelerate #MandelbrotSet #DeepZoom . The advantage is that the quadratic term of the perturbation formula is now exact, with a cubic remainder term. for single step, assuming that z < sqrt(eps) 2Z makes this remainder be lost in rounding noise, while for the linear approximation the corresponding condition is z < eps 2Z. given two...

• Post #3319905

  5000th toot! #introduction time. I'm originally from London, UK, now based in Alt Empordà. I make #CreativeCoding #MathArt. I use Linux since 2004 or so, currently happy with Debian though I need to find something else to keep my remaining 32bit hardware up to date #permacomputing. Most of my code is published under #copyleft licenses. I started making music on classic #Amiga, using #OctaMED SoundStudio until 2003. Then I used #PureData until 2011, but mousing patch cables was increasin...

• Post #1686891

  managed to get tidal-mondo building with MicroHs. had to workaround some differences from GHC that might or might not be bugs. haven't used it yet so I don't know if it still works after my changes. wip pull request at codeberg #Haskell #uzulang #TidalCycles