the hungry observatory

Selfsimilar Pattern on isometric paper #mathart

Selfsimilar Pattern on isometric paper #mathart

New xor pattern generalization dropped! For each pixel (x|y) write x and y in base 3, then add the corresponding digits of x and y mod 3. Here we have purple for f(x,y)%4==0 #mathsky

New xor pattern generalization dropped! For each pixel (x|y) write x and y in base 3, then add the corresponding digits of x and y mod 3. Here we have purple for f(x,y)%4==0 #mathsky

Icosahedral Stereograph! #stereogram #icosahedron

Icosahedral Stereograph! #stereogram #icosahedron

My Patrons can vote on my June Theme! Options: - Coding up those Recursive Graphs - Getting the hang on Shaders - Returning to Cellular Automata patreon.com/posts/158554118

Dodecahedral Stereograph!

Also wanted to point out www.londonstereo.com/index.html It's Brian May's (yes, from Queen) project for preserving the history of stereoscopy. Dig around on the site and there're quite a few neat stereo pairs to be found!

I made a making-of video for this crocheted cellular Automaton: youtu.be/YjW4R5sGvdk #crochet

Stereograph Time! Relax your eyes to merch neighboring tetrahedra into one. How does the colored one work for you? #stereograph

I figured I'd try a 3d xor pattern! I went with "bitwise( all but one)" as my operator and draw voxels with value 0 mod 3. Not sure if I should finish this or restart with a somehow depth dependent coloring #mathart

Added in rose for (x^y)%5==1

How to draw a xor pattern without calculations: explanation in my YouTube video youtu.be/RjuWrP_rwpI #mathsky

How to draw a xor pattern without calculations: explanation in my YouTube video youtu.be/RjuWrP_rwpI #mathsky

Meanwhile in the 4th dimension... I'm trying to find all possible paths in a 2×2×2×2 tesseract, but I'm not near to done... #math #mathsky

Meanwhile in the 4th dimension... I'm trying to find all possible paths in a 2×2×2×2 tesseract, but I'm not near to done... #math #mathsky

Challenged my kid to find a recursive Graph that terminates after gaining some complexity. He solved it by adding complexity to the rule: A node that has exactly one diagonal source changes to the next color, each color has its own recursive rule. 1/2

Challenged my kid to find a recursive Graph that terminates after gaining some complexity. He solved it by adding complexity to the rule: A node that has exactly one diagonal source changes to the next color, each color has its own recursive rule. 1/2

More crochet stitch patterns! #crochet

Let's try that with octahedra! #stereogram

Let's try that with octahedra! #stereogram

(last thing I promise!) the mention of hyperbolic crochet reminds me of this thing I made some years ago, in turn inspired by a TED talk about hyperbolic crochet See ptrgags.dev#/project/hyp... for the full story and pattern

Hypothesis: I can hand-draw a stereogram! Conclusion: You tell me! Can you see it 3d? #stereogram

Yes! Lovely complexity from simplicity. #mathsky

When coding XOR patterns I was amazed at the complexity from eg a simple (x^y)%3 When hand drawing/calculating it, I get a bit of an intuition why... #mathsky

Recursive Graphs! The rule consists of 3 bytes: First bite says whether a node has an edge to left/ straight up/right if it has one incoming branch. The second byte is for two incoming edges and the last for three. (I also wrote the mirrored rule, since I won't draw that extra) 1/2

Twenty stalks growing from a central icosahedron, each branching in to three separate flowers. #Hedron #tiling #mathart #geometry #loop #art #3d

Recursive Graphs! The rule consists of 3 bytes: First bite says whether a node has an edge to left/ straight up/right if it has one incoming branch. The second byte is for two incoming edges and the last for three. (I also wrote the mirrored rule, since I won't draw that extra) 1/2

Started a Project trying out different stitch patterns... #crochet

Didn't finish this one.. Recursive coloring with 10 colors... #mathArt

So a few months ago, my 12yo came home announcing "I drew a tree!" And showed me this, then explained how it's made with recursion based on a 6-byte rule, he tried many variations. Let's call them recusive graphs and started exploring a simplified version, the rule space is just 3bytes...

So I tried to turn a surface parametrization into a crochet pattern by tracking the arclengths along both parameters. u is the direction of my crochet lines, I need to drop or gain stitches to match the length. 1/2

Let's go 3d! All possible paths through a n×2×2 cuboid for n=2 and n=3! That escalated quickly. 😇 #math #mathsky

Crochet Time! Explaining the algorithm... #Crochet #mathArt

Full Sized Full Length Journey through Pinwheel Maze: youtu.be/xmL7QgFrT3M #creativecoding #mathart

Crochet Time! Explaining the algorithm... #Crochet #mathArt

On to n×3 rectangles! How many paths are there? 🤔 #math #mathsky

On to n×3 rectangles! How many paths are there? 🤔 #math #mathsky

Pentagons and triangles #tiling

April Theme is "unplugged"! I'm starting with paths through rectangles: Up to Symmetry, how many paths are there in a n×m rectangle that hit each unit square exactly once? #mathsky #mathart 1/2

April Theme is "unplugged"! I'm starting with paths through rectangles: Up to Symmetry, how many paths are there in a n×m rectangle that hit each unit square exactly once? #mathsky #mathart 1/2

Last Nilgeometric Gravity Video! Full Version: youtu.be/L3aLCQq6MJI #mathsky

High-resolution Render for Patrons of Level Square and up! 7200×12800pixel #mathsky

This Month's high-res Render for Patrons of Level Square and up: Three equal-mass white stars in a periodic figure-eight orbit. Three sets of zero-mass planets with gradually different initial velocities. #codeart #trisolaris #mathart

A recursive tiling for #TilingTuesday #Recursive #Fractal #Geometry #MathArt #Hexagon

each pixel in each frame is 80iterations of Nilgeometric Gravity Simulation. I haven't finished my fragment shader, this took 4 minutes per frame. 😅

For each pixel we simulate the movement of a massless particle around a massive object. The starting position is always the same, but the direction of the initial momentum changes with x~phi and y~theta. red is how close we got, green how far. #mathsky #creativecoding