#julia set

[androgynouspear]

Women aren't usually my cup of tea BUT Goddam!! Look at the CURVES on julia!💘😩🤭

GOD she so mathematically intirciate I'm DROOLING 🤤 😋 😩 😫

Just look what she's got hidden under there ❤️

Hnnnn you can rotate her in SIX diffrent dimensions she Is just so Flexible 😉 😜 😘 😉 😜 😘

Ohh my god QUEEN you contain the mathematical beauty of the universe in you

Is it just me or is it getting hot in here!!

I need her too step on me so bad

[1five1two]

[mndlbrt]

[lavendertowerarchives]

Sometimes it takes some bullshit

To make some bullshit

[blake447]

I realized I hadn't shared this here yet! Here's my 3D printed Quaternion Julia Set! See I first learned of these things reading about it from a pretty well known graphics programmer Inigo Quilez. Theirs are a lot prettier! But yeah, if you're familiar with Julia Sets and the Mandelbrot set already, this is basically that but we use 4D complex numbers called quaternions instead of the regular old complex numbers.

The original shaders I used to render them were unity CG/HLSL implementations, but this particular one is from a GLSL implementation over on my shadertoy you can find here: https://www.shadertoy.com/view/tdt3W8 It isn't exactly the same one that I've printed here (I've long lost the exact seed) but it is reasonably close. The way I printed it was I stole some marching cube code for blender and just plugged in the SDF function derived by Inigo Quilez, tweaked the values and eventually got a mesh I can print!

This uh, isn't the one I used lol. It did take a few tries to get one that was both visually interesting and also printable. In fact i wasn't even using the marching cube algorithm at first. I was using Poisson Surface Reconstruction with a python script that casted points to form a point cloud. Basically I was attempting to create a mesh like you would with photogrammetry, just with an abstract object rather than an actual thing or place.

The results were, well not good lol.

*Continues digging through box* I know its around here some where, I should have the one that works. Okay this still isnt it but this one is using the same method, I just wanted to use this for a vrchat world instead of using it for 3D printing. It gets the point across lol

But yeah. 3D printing is really cool if you're into a bit of math

[wolframcarbide]

[martiansodas-blog]

[archivist-crow]

On this day:

WINDMILL HILL TRIPLE JULIA SET CROP CIRCLE

On July 29, 1996, at Windmill Hill, Wiltshire, U.K., a spectacular mathematical fractal design appeared on the landscape. Spanning several hundred feet across, the design was composed of 194 diminishing circles, which alternately ran clockwise and counter-clockwise. The design also had a standing central tuft. As well, many of the features of circle-making in the last three decades had been applied. Some of the stems were braided into nests, wreaths, and catherine wheels. The tufts ranged from a single stalk to groups of standing stalks six inches in diameter to groupings of some eight inches in diameter in which the stalks bent outward at some six inches above the ground, creating what resembled a miniature grass hut.

Geometrically connecting the mathematical centers of the first three small circles (those surrounding the middle circle) produced a perfect equilateral triangle. Amazingly, the centers of the next three circles in line also produced the perfect triangle. And the centers of the next three and the next three, all the way down the line to the end, did the same. If even one circle had been slightly misaligned, the whole mathematical harmonics would have been disrupted. The crop circle consisted of three logarithmic spirals.

An engineering firm said that it would take over a week just to survey and place stakes to construct such a form. In the four hours of darkness during which it had appeared, one circle would have had to be calculated and finished, complete with tuft, every fifty-six seconds.

Text from: Almanac of the Infamous, the Incredible, and the Ignored by Juanita Rose Violins, published by Weiser Books, 2009

[morningsaidthemoon]

Gma doesn’t remember the second flight of stairs?? Couldn’t be me

[cybrolingo]

Tessellation of Julia Set Fractals

[yooboobies]

shaped like love, like sunshine, like happiness - a boundle of joy | dedicated for @raplinenthusiasts tiny tan (3/7)

(cr. 0613data}

[jkvjimin]

you're my beginning and my end, that is all my meeting and my farewell

for @raplinenthusiasts 💚

[mndlbrt]

[poirott]

Crossover → Hercule Poirot and Captain Hastings visit Miss Marple

David Suchet as Hercule Poirot, Hugh Fraser as Captain Arthur Hastings, Geraldine McEwan as Jane Marple

Agatha Christie’s Poirot (1989 - 2013) | Agatha Christie’s Marple (2004 - 2013)

[blake447]

Getting my arch install looking nice and pretty. Background is a quaternion julia set, and down below we have my dragon curve code that I've been working on. Finally got polybar installed and working, and customized it lightly. Next I'm thinking a compositor so i can have transparent terminals and stuff if I want

[wolframcarbide]