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#fractal

5 messages4 participants1 message aujourd’hui
Public
Dani Laura (they/she/he)

These creatures are made with an IFS which transform one arc into several connected arcs (specifically 1/6 of circumference, which gives more possibilities than other fractions). I show the results of just two iterations for several decompositions, more produces less aesthetic outcomes, and even more the result is indistinguishable from usual fractals. In this post the shapes are derived from a full circumference, next post will include other outcomes derived from other initial shapes (composed by sixths of circumferences).
#MathArt #Mathematics #IFS #fractal #art

A funny curvy subfractal in violet gradient, 6-fold symmetry.
A funny curvy subfractal in indigo gradient, 6-fold symmetry.
A funny curvy subfractal in red gradient, 6-fold symmetry.
A funny curvy subfractal in green gradient, 6-fold symmetry.
Public
claude

Just published: web version of #InflectorGadget inflection mapping gadget for #MandelbrotSet #JuliaSet #fractal #fractals #MathArt

mathr.co.uk/ig/

Pro-tip: keep the Add tool selected and use mouse wheel to zoom if available, otherwise (e.g. touch screen) you need to keep switching between tools

Click the hash button in the top left to update the address bar URL before sharing (otherwise it might not be up to date), here's one I did today (3 things in a rabbit: right-handed tree, left-handed tree, line):

mathr.co.uk/ig/#eyJ2IjoxLCJjZW

fractal boundary in black on binary decomposition in white, yellow, cyan and pink
Suite du fil
Public
claude

added `{ preserveDrawingBuffer: true }` to the webgl2 context creation, now Firefox right click Save Image works properly (previously it saved a 100% transparent image).

apparently this can cause performance issues especially on mobile, so I will see about adding a different way to save later.

also made it update the URL hash automatically when adding inflection points (previously only on manual button click). this avoids losing work when accidentally refreshing the page etc. can't make it update on every action (zoom, pan, colours, ...) otherwise browser complains about too much history spam.

here are five things in a 2/5 Julia set: disk, line, three tree variants (distinguished by how they attach to the whole). not very refined (only 3 steps of each, 16 inflection points total including the initial Julia set location).

fractal in black on coloured background (blue/yellow binary decomposition with green accent) mostly 5-fold stars with occasional disks, sculpted into shapes in the different branches of the main Julia set shape - see toot for more info
#InflectorGadget#JuliaSet#fractal
Public *
Martin Rundkvist

Late 80s, my buddy writes a programme to zoom in on the Mandelbrot set in interpreted GW-BASIC running on a 4.77 MHz Intel 8088 processor. It's glacially slow, hours per picture, but we think it's awesome.

A few months later he gets a floppy disc with a Mandelbrot zoom programme written in hexadecimal machine code and running on a 6 MHz Motorola 68000. It does the same job in seconds.

#computerhistory#fractal
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Nigel

Remember the cool (fractal?) visualisations that the old Winamp used to generate?

I want to produce exactly that style for videos to go with my music, so there's something interesting and attractive to watch if I put my music on 'tubes' of whatever flavour.

It needs to be EASY to do as there's only a very small part of Nige's grey matter left to be assigned to doing it!

#fedihelp #askfedi #music #visualization #fractal (maybe! 🤔)

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