Lmst

trad tsundere trying to decapitate mc-kun with a katana with a crystal structure containing cubes, octahedra, rhombicuboctahedra, & truncated cubes for being a pervert dot png dot webp

#TilingTuesday #3d #animation #tiling #cursed #mathart #geometry #surreal

@anshthewad @GerardWestendorp @simontatham OK, here it is (this version uses minimal outlines)

#geometry #MathArt #design #YinYang

A version of the Yin-Yang symbol with three elements: the black teardrop and white teardrop and a grey S-shaped element. In each element is the usual two-element symbol; the colours are of the two other elements. Each two-element symbol has a dot of the other colour.

@GerardWestendorp @simontatham One way to include the other elements: use the symbol with one fewer elements. Here's three elements with two-element dots.

With seven elements, the dot could be the six-element symbol, but I've yet to find a good way to draw these.

#geometry #MathArt #design #YinYang

Octagonal pavers that are almost rectangular, Hanga Roa, Rapa Nui (Easter Island/Isla de Pascua)

These pavers are widely used on pavements and roads in Hanga Roa. I don't think I've seen these shapes elsewhere (I didn't see many of the shapes that are common elsewhere).

#TilingTuesday #photography #geometry #tiling #MathArt #design #pattern

A square photo of pavers oriented diagonally. The pavers are grey/brown with earth between them; some grass grows. The paver looks like a Z or N with wide strokes.

> be me
> try to graph harmony
> find a fractal
ofc

x axis = interval(unison to octave)
y axis = fundamental(140-2100hz)
lines on black = "consonance" map(= overtones lining up)
gradient = "dissonance" map(sum of overtone interference)(max = 🖤🩵💚💛❤️🩷💙🤍 = min)

(for a sawtooth wave wiθ 65 harmonics(you can literally see some of ðem leaving ðe audible range🫪))

#fractal #musictheory #mathart #creativecoding

#Fraktaler #Fraktaler3 v3.1 #release

#DeepZoom #hybrid #EscapeTime #fractals #MathArt #MandelbrotSet #BurningShip

binaries for Web, Android and Windows, built from Debian Linux, source for all those platforms

https://fraktaler.mathr.co.uk/

changes since v3 (June 2025):

- histogram colouring

- partial KFR importer (no colouring yet)

- web version uses full window canvas

- doubleexp number type

- float128 number type (where available)

- fix: correct matching between appearance of CPU and OpenCL backends (thanks to JWM for reporting)

- fix: compatibility with toml11 v4.

- fix: builds and runs in Termux + Termux X11 on Android

- fix: no 'quit when done' option on Web or Android.

- fix: correct status when pressing ESC after rendering is complete.

- internal: build system improvements.

Over the course of 2022-23, I accumulated several dozen 3D-printed (selective laser sintered nylon) prototypes for jewelry: Spheres banded by loxodromes, cyclides diagonally banded by images of great circles in the 3-sphere, annular portions of minimal surfaces and singular complex-algebraic space curves, and a few miscellanea. Here they are as ornaments for a holiday tree in anticipation of the solstice.

#Math #MathArt #SciArt

A 7-ft potted holiday tree made from a thin, leafless branch of white birch, adorned with a scattering of about 80 small mathematical forms, mostly white, side-lit by low sun against shadowed snow and evergreen trees.

A close-up of a yellow nylon "loxodrome sphere" about 1-1/4 in across suspended from a birch twig against an out of focus snowy background.

Mein erstes Mandelbrötchen!

Wie das mit echten Backwaren so ist: Profis können das besser, aber ein bisschen stolz ist man ja doch...

Ich hab nur etwa 25 Jahre gebraucht, um zu merken, dass ich das auch schon vor 25 Jahren hätte begreifen können, aber die (an sich simple) Mathematik hat mich ein bisschen abgeschreckt.

#processing #genart #mathart #fractal #mandelbrot

Fragment of the Mandelbrot set from x = [-0.15 .. 0.5], y = [0.6 .. 1.0].

Inflector Gadget v0.10 released, with bugfixes to the perturbation implementation (thanks FractalLion) and support for variable wavyness everywhere:

source tarball and windows binaries available here:

https://mathr.co.uk/web/inflector-gadget.html#v010

web version available here:

https://mathr.co.uk/ig/4/

example:

#InflectorGadget #MandelbrotSet #JuliaSet #Fractals #MathArt

$fractal made of trees interleaved with lines in a basillica configuration, in black on a white and blue wavy background$

The leaves' orientation changes with rot(v). Feels rather natural.

#mathart #mastoart

More things found while exploring the Mandelbrot equation. Pick a few points in a small circle and trace their orbits. Yellow dots are the actual calculated points, connected by a purple curve if the point eventually escapes, and green if it does not.

#fractal #mandelbrot #mathart #generativeart #creativecoding

Abstract imagery: A gold spiral with 4 "arms" swirling away from the center, on top of some compact green spirals and narrow but longer purple spirals extending from the center in somewhat chaotic manner.

The vortex oh no

Real: 0.27548820161122814442923283070232809332535788933
Imag: 0.0067696230379907789136015542577628183409941295209
Size: 1e-29
Period: 2421

#Mandelbrot #MandelbrotSet #Fractal #Fractals #FractalArt #MathArt

Green shaded Mandelbrot set zoom featuring a 8-way rotational spiral pattern.

#artAdventCalendar: Happy birthday to #mathematician Virginia Ragsdale (1870-1945). The Ragsdale conjecture, made in her 1906 dissertation, is amongst the earliest and most famous on the #topology of real & algebraic curves, which stimulated a lot of 20th century research & was not disproved until ‘79. A correct upper bound has yet to be found. In her dissertation she tackles the 16th of David Hilbert’s 🧵

https://minouette.etsy.com/listing/1205408496

#womeninSTEM #printmaking #sciart #mathart #histsci #mastoArt

My linocut print of mathematician Virginia Ragsdale in lavender with 4 of her topological diagrams from her thesis in pale green

I enjoy this it's-a-grid-but-not-quite.

My eyes keep jumping around trying to understand.

#CreativeCoding #math #mathArt #geometry #OPENRNDR #Processing #Kotlin

A code generated tile-based texture. The tiles are irregular, originally placed on a grid, but then displaced.

A few glitchy tiles float on top of others, coming out of nowhere.

ðe 6 orθogonal planes + color based on a 3rd axis(green = center, red/blue = average of ðe +/- segments), projected from a single 4d map

Soo, yeah, ig ðere's someθig to check out once we get terabytes of ram lol 𓅱(resolution^4 = 😔)
(or a GPU algoriðm ðat can share a single 3d map?)
((or quantum magic |⚛️>))

#fractal #mathart #4d #creativecoding #abstract

#Thursday #Fractal #Daily #MathArt

FOSS Advent Calendar - Door 12: Plotting Like a Pro with Gnuplot

"Reports of my death have been greatly exaggerated."
This quote fits perfectly for Gnuplot, a classic FOSS plotting engine that’s still alive, powerful, and incredibly useful for creating beautiful scientific and mathematical visuals directly from the command line.

Gnuplot can generate 2D and 3D plots, animate datasets, visualize functions, and export to nearly any format you might need: PNG, SVG, PDF, EPS, and more. And one of its greatest strengths?
You don’t need a whole Python stack, dozens of libraries, or virtual environments just to make a graph. Gnuplot runs instantly, scriptable, lightweight, and beautifully minimal.

Whether you’re analyzing experimental results, visualizing parametric curves, or just plotting a weird math idea you had at 2 AM (we’ve all been there), Gnuplot gets it done fast and clean.

Pro tip: try rendering a dramatic 3D surface plot or a festive math figure, like a parametric Christmas tree. Gnuplot makes it surprisingly easy to turn equations into art.

Link: https://sourceforge.net/p/gnuplot/gnuplot-main/ci/master/tree/

What’s a plot you’d LOVE to generate with Gnuplot, serious or purely nerdy?

#FOSS #OpenSource #Linux #CLI #Terminal #Gnuplot #DataViz #Plotting #3DGraphics #MathArt #NerdContent #AdventCalendar #OpenTools #FOSSAdvent #CommandLine #ScienceTools #Fediverse #TechNerds #PlottingMagic #adventkalender #adventskalender #DataVisualization #Science #Python #Research #Engineering #AcademicChatter #STEM #Tech #Physics #Chemistry #Maths #SciComm #OpenScience #Research

An aperiodic tessellation of the hyperbolic plane, found by Toimine in the #tessellations channel in the HyperRogue discord.

These tiles are equilateral, with edge length of 0.56358, which is less than the 0.56626 that was achieved by the regular {7,3} tiling (which was apparently the previous record for a tiling with equilateral convex tiles).

It is also possible to the connect two pentagons by their "bases" to obtain a funky variant of the {8,3} tiling. Then, we can play with the angles -- for "narrow" tiles, the edge length becomes even smaller, about 0.5436.

The animated visualization also shows some new cool features of the RogueViz expression parser: it can now automatically solve for the edge length which makes the tiling work for the given angle $\alpha$!

https://github.com/zenorogue/hyperrogue/blob/master/tessellations/sample/aperiodic_pentagons.tes

#mathart #rogueviz #noneuclideanGeometry

Happy birthday to Ada Lovelace (1815-1852), who published the first computer program. She worked together with Charles Babbage, the inventor of the Difference Engine and the Analytical Engine (the first computers), correcting his notes on how to calculate Bernoulli Numbers with the Analytical Engine. 🧵⠀
⠀
#sciart #linocut #printmaking #mathematics #mathart #compsci #programming #histsci #WomenInSTEM #technology #artAdventCalendar #mastoArt

As described, my linocut print shows Lady Ada, based on engravings made during her lifetime, printed in purple, before gears of the Charles Babbage Analytical Engine, based on one of his blueprints, printed in bronze. Depicted around the gears are equations relating how to calculate Bernoulli Numbers.

Rule/Yule 30 cellular automaton with a "band-pass" filter every few iterations. Done in the Bash shell using bitwise math, so each row/state is a single number of 63 bits.

#cellularautomata #cellularautomaton #rule30 #bitwiseoperators #textmode #textmodeart #oldskool #retrocomputing #unixshell #shellprogramming #xterm #joulu6 #xmastree #algorithmicart #algorist #mathart #laskutaide #ittaide #kuavataide #iterati

#mathart

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