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Turtletoy

This page gives an overview of all the turtles that I have published on Turtletoy.

Click on an image to see the turtle in action.

Path Path Tracer
Pseudorandom number generator
Quasirandom sequences
Hangman
String input type
Path packing
A path, a goose & a bicycle
Distance to path
Path evolution
Path mutation
Path input type
Gilbert tessellation
Aperiodic Hat Monotiles
Crowded
Dittytoy
$My take on the Pythagoras Tree. - Symmetry is used to lerp the angle to PI/4 at branches - AngleMod and AngleTest can be used to swap the left- and right-angle at certain depths. https://turtletoy.net/turtle/da47b4247b#rotAngle=0.786,aspect=0.5,symmetry=1,cutOffSize=0.125,drawMode=1,angleModulo=3,tension=0 https://turtletoy.net/turtle/da47b4247b#rotAngle=1.126,aspect=10,symmetry=1,cutOffSize=0.104,drawMode=0,angleModulo=3,tension=0 https://turtletoy.net/turtle/da47b4247b#rotAngle=0.594,aspect=1.001,symmetry=1,cutOffSize=0.104,drawMode=1,angleModulo=0,tension=1 #fractal #pythagor$
Pythagoras Tree
Kauri
Centripetal Catmull-Rom Splines
Polygon Utility
$A visualisation of the distance to a Julia set. https://iquilezles.org/articles/distancefractals/ https://en.wikipedia.org/wiki/Julia_set #fractal #juliaset$
Smooth Julia set
$The Barnsley fern is a fractal named after the British mathematician Michael Barnsley who first described it in his book Fractals Everywhere. https://en.wikipedia.org/wiki/Barnsley_fern #Barnsley #fern #fractal$
Barnsley fern
Plottable Multi-Scale Truchet
Amsterdam
Hexagons
$Spawning hexagons recursively. #hexagon #fractal$
Hexagon Fractal
Euler Spiral
Mini 2D Physics Engine
Poincaré disk model #2
Poincaré disk model #1
Multi-scale bezier Truchet tiles
Raytraced sphere #5
$I am just forking the awesome turtles of @llemarie https://turtletoy.net/turtle/48b30c6521 This one uses the smooth Mandelbrot iteration count formula: https://www.iquilezles.org/www/articles/mset_smooth/mset_smooth.htm I made some changes to the PoissonDiscGrid (using a queue), so I could improve precision without getting incorrect self-intersection tests. #fractal #mandelbrot$
Smooth Mandelbrot
Möbius Ladder and Curl
Fingerprints
Mixing Curl Noise Fields
Curl Noise
Cubic space division #3
Circle packing #2
Tesselation #1
More cloth
2D SDF and Contour Lines
$Menger Sponge fractal. I use a slightly modified version of the https://turtletoy.net/turtle/d9ae1fb0bd to collect all partially visible faces of the fractal. A bounding box is added to speed up rendering a bit. #voxels #fractal #MengerSponge$
Menger Sponge
Voxel Worlds
Voxel Ray Caster
Esja
Touching circles
Contour Lines Island
Metaball Contour Lines
$A very simple method to construct a fractal inspired by this tweet: https://twitter.com/CentrlPotential/status/1250172108811927552 by @CentrlPotential. https://en.wikipedia.org/wiki/Chaos_game #fractal #chaosgame$
Chaos Game
Grid variations
Simplex Noise Waves
Sheep
Simplex Noise
Cloth
Stars
Turtle Dungeon
Dyson Hatching
Bezier Truchet tiles
Hexagon Truchet
A tortoise, a goose & a bicycle.
Voronoi Spiral
Raytraced sphere #5
Natural selection
Cubic cityscape #2
Transforms
Hello, world
Ragdoll physics
$Example to show how you can use adjustable variables; a new and experimental feature. You can use the sliders below to adjust the Fractal binary tree (https://en.wikipedia.org/wiki/L-system#Example_2:_Fractal_(binary)_tree). #fractal #lsystem$
Adjustable fractal tree
Spirographs
Quine
Il Cubo
Cardioid
Poisson- Disc Grow Patterns
Torus
Raytraced sphere #4
3D Line Art Engine: Function
3D Line Art Engine: Skyscrapers
3D Line Art Engine: CSG
3D Line Art Engine: Outline
3D Line Art Engine: Spheres
Cornell Box #2
Cornell Box #1
Raytraced Sphere #3
Cubic cityscape #1
Rotating shapes
Cubic space division #2
Cubic space division #1
Polygon weaving
Polygon hatching
Polygon clipping
Lissajous curves
Smile!
Turtle
Imperfect poly packing
Circle packing #1
$Fractal plant by Paul Bourke: http://paulbourke.net/fractals/lsys/ #fractal #lsystem$
Fractal plant #2
$Fractal plant: https://en.wikipedia.org/wiki/L-system#Example_7:_Fractal_plant #fractal #lsystem$
Fractal plant #1
$https://en.wikipedia.org/wiki/L-system#Example_5:_Sierpinski_triangle #fractal #lsystem$
Sierpiński arrowhead curve
Raytraced Sphere #2
Raytraced sphere #1
$An L-system or Lindenmayer system is a parallel rewriting system and a type of formal grammar: https://en.wikipedia.org/wiki/L-system. #fractal #lsystem #snowflake$
L-System
$Dragon curve example. #fractal #dragoncurve$
Dragon curve

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Eigen: Building a Workspace
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