noneuclideandreamer

noneuclideandreamer, 3 months ago to random German

Proudly presenting my First Hyperbolic Tesselation! The Hexagonal Tiling Honeycomb: Each 3-cell is essentially a Euclidean half plane.

#codeart #mathart #hyperbolic #honeycomb #mastoart

noneuclideandreamer, 9 months ago to random German

Is it readable?

#codeart #fractal #dynamicalsystems

noneuclideandreamer, 25 days ago to genart

Alright, May Theme is Sound!

Doesn't sound or look so great yet, but the month is young! Here I try out different ... Scales?

Gotta find a "Music Theory for Dummies" or so in the School Library...

#creativecoding #sound #scrappyfiddles

video/mp4

noneuclideandreamer, 4 days ago to genart German

Spheres appearing along a slanted gradient, pinging when they appear.

#sonification #creativecoding #apolloniangasket

Apollonian Sphere Packing built front to back

noneuclideandreamer, 1 year ago to physics German

So I'm trying to solve the heat equation numerically. (Here with 2 sources)
But why doesn't it spread in a circle?

I basically do

f(x,y,t+1) = f(x,y,t)+c(f(x+1,y,t)+f(x-1,y,t)-2f(x,y,t))
+c(f(x,y+1,t)+f(x,y-1,t)-2f(x,y,t))

which is the numerical heat equation, right? Do I just need to finetune the c? Or maybe it's not actually a problem and my coloring takes small changes too seriously, after a while it looks nice...
(I already fixed the central horizontal distortion?)

#physics #creativecoding

video/mp4

noneuclideandreamer, 7 months ago to random German

Pro: it ain't exploding.
Con: it ain't behaving.

Made the fluid incompressible and used relaxation to solve Poisson... But something is not right...

Blue dots moving on green-blue Background, gradually reaching the middle vertical where the move uniformly up.

noneuclideandreamer, 8 months ago to random German

Next Level debugged! Can you tell what's going on?

#mathart #circlepacking

Initially small circle growing to the screen size, in it circles appear, grow, shrink & disappear without ever overlapping. The outer circle end shrinking back into oblivion.

noneuclideandreamer, 6 months ago to random German

New Theme is "of Planets and Stars".

I start with a simple Circular orbit with no tilt to figure out what I'm doing...

This is a heat chart of the entire planet.

#codeart #temperature

I start with a uniform temperature of 100°C , them the planet's surface warms up under the star and cools down apn the other side.

noneuclideandreamer, 8 days ago to random German

Is it music or is it noise?

#codeart #sonification #apolloniangasket

Cross-section of an Apollonian Sphere Packing, the notes played correspond to the curvatures of the visible spheres

noneuclideandreamer, 8 months ago to random German

Can you guess on what the color depends? 😇

#apollonialgasket #codeart #circlepacking

Appolonial gasket developing.

noneuclideandreamer, 8 months ago to random German

Debugging the basics took me a while...

The placement of the biggest four spheres in the big white one is correct, but the others crowd in the middle instead of gasketing apollonialy.

noneuclideandreamer, 6 months ago to physics German

Integrating it with my gravity code...

#codeart #physics #temperature #gravity

On the Bottom we see a white star orbited by a green planet, on the to we see the heat chart of the planet going through seasons.

noneuclideandreamer, 2 months ago to math

Truncated Hexahedra
Cuboctahedra
Truncated Square Tilings

#mastoArt #math #mathArt #codeArt #hyperbolic #honeycomb

It's a paracompact Honeycomb. The Truncation of a Honeycomb with Coboctahedral Vertexfigure consisting of just Squares.

noneuclideandreamer, 3 months ago to random German

Genuary Prompt 29: Signed distance Function

Also: Monthly High-Resolution Render for Patrons of Level Square and up (25600x14400)

Octrose Pattern achieved by the Cut-and-Project Method:
An 8-D Lattice cut by a skew plane lying through it a 2-face gets projected onto the plane iff its dual 6-face intersects the plane. To check this I take all the 5-faces bounding the 6-face and check their signed distance to the plane.

#genuary2024 #genuary #genuary29

noneuclideandreamer, 4 months ago to CA German

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Genuary Prompt 14: 1KB Art work
I went with XOR output as a txt-file.
But MastoFont doesn't behave...

#genuary
#genuary14
#genuary2024
#ca

noneuclideandreamer, 3 months ago to random German

Genuary Prompt 30: Shaders

I haven't managed to get my head space into GPU. So here's some shading with CPU...

The object (here a sphere) is specified by an array of Locations and normal vectors. The angle between light direction and normal vector tells how bright a point is. Then it gets drawn.

#genuary2024 #genuary30 #genuary

Looking at a half illuminated sphere from all sides. Looks like the moon going through its phases.

noneuclideandreamer, 3 months ago to random German

Hyperbolic Tesselations with four n-gons per vertex with increasing n.

Viewed frontally from Hyperbolic Space... Does this lead to the Poincaré Disc Model? 🤔

#hyperbolic #codeart

Four Hexagons per Vertex
Four Pentagons per Vertex

noneuclideandreamer, 4 months ago to random German

Genuary Prompt 12: Lava Lamp.

My Fluid Sim code.

#genuary2024 #genuary #genuary12 #fluidsimulation

Purple Stripe on top, whitish stripe on bottom, black middle. Gusts come from the bottom and mix up the fluid.

noneuclideandreamer, 1 month ago to evolution German

Hostile Takeover in the periphery

#evolution #creativecoding

noneuclideandreamer, 4 months ago to random German

Genuary 8: Chaotic System

My take on the double Pendulum.
The math on Wikipedia gave me a headache, so I solved it with coil forces: the balls are connected with an invisible coil and one of the balls is connected to the upper middle with another coil.

The varying colors have varying coil constants. It takes a while for them to go out of phase but then they do it enthusiastically...

#genuary #genuary2024 #genuary8

2 blue dots start moving under the forces of gravity and 2 coils connecting them and a fixed point. They start getting a rainbow tail that starts to move more and more diversely until it dissolves into complete chaos.

noneuclideandreamer, 1 month ago to genart German

A Tale of two Planets, one evolving plants and animals, one Bi-generational plant-animal lifeforms.

Full Musical Version: https://youtu.be/KP9zQ0fMX_c

#creativecoding #evolution

Two Twin Planets orbit the cooler of binary stars. On the top we see the temperature chart of the green planet, below of the cyan planet. On the Cyan Planet we see plants thrive, and a cold-loving animal species spread over the south pole. On the green Planet Life developed bi-generationally: Plants grow animal young, animals seed out plants. we can see some interesting competition.

noneuclideandreamer, 1 month ago to crochet German

My 10yo crocheted these for my 4yo.

#crochet #siblings

noneuclideandreamer, 4 months ago to random

Genuary Prompt Nr. 5 is "In the style of Vera Molnàr". When I looked at her works I liked the framing squares with things going on in them. They reminded me at what I saw when investigating Dynamical Systems. This is 8 iterations of the function f(x,y)=( x-(1+y/4)tan(y)-t*y , x )

Full-Res full-length full-size version: https://youtu.be/q8V0KPQRjRM

#genuary #genuary5 #genuary2024 #dynamicalsystem

video/mp4

noneuclideandreamer, 4 months ago to CA

Genuary 4th: Pixels
Seemed like a good opportunity to try myself at 1D-Cellular Automata!
The initial state is on the top, iteration steps downward. With time I continuously change my rule.

#genuary #genuary4 #genuary2024 #ca

Initially vertical stripes but the warp from the bottom up until it's just noise.

noneuclideandreamer, 3 months ago to random German

My February Theme is Hyperbolic Space!

I chose the Hyperboloid Model as it is embedded in Minkowski Space analoguously to the Hypersphere in E4.

So I take my Hypersphere code and just refactor it, sprinkle in some minuses and add some "h"es to the trig-functions, right?

Testing on a growing regular Tetrahedron.
Working well!
... Until it doesn't.

#debug #hyperbolic #codeart #mathart

Tetrahedron growing, the seeming distortion is due to the internal angles getting smaller. Then , while the vertices still seem to behave, the geodesics start to act out.