look here so you can know how the game works play turbowarp please becaus in scrtath its too laggy to get a good experience and even then its laggy to be honest idk how to optimize it https://turbowarp.org/1142274330?fps=60 this is the one i like to use though https://turbowarp.org/1142274330?fps=60&hqpen&stuck&turbo → epilepsy warning because of bright colors ← also please read this it will help a lot↓ you can also see inside and change some things to see what happens if you find something you really love (if you are in turbowarp) you can turn on high quality pen, see inside and stop all, set res to 0.1 and go to the main loop separate the "make fractal" block and click it or it will repeat and erase (it will take a looong time though) its ok if you press stop becuase pressing the flag doesnt change any variables but the stop makes the rendering stop (for best results do full screen on final render) how to play↓ • use up and down arrow keys to zoom in/out • control zoom with mouse • r to reset the zoom and z to set the zoom power • s and h to show/hide variables • press j to edit c start point (drag point) • press k to edit z start point (drag point) • c to lock mouse to center • p change the powers type press • i to invert the formula • t to be able to make transitions (you can also change the type of mean to get transitions from) tip: zoom in low quality first so it lags less and then switch to high quality for the last one and you can go into code to change things to be the way you want them if you want to change the colors fractal list↓ ► standard fractals 1 mandelbrot set 2 tricorn 3 burning ship 4 celtic 5 buffalo 6 perpendicular mandelbrot 7 perpendicular burning ship 8 perpendicular buffalo 9 burning ship mandelbar 10 celtic mandelbar 11 perpendicular celtic 12 buffalo mandelbar ► other fractal variants 13 airship 14 crown 15 shark fin (also called davisbrot) 16 cow 17 power drill ► geometric shapes 18 square 19 teardrop 20 pointy teardrop with the powers (press p to change) these are the types↓ • normal (least lag and least buggy) • count by one (only can show one and above powers) • morph (show smooth power morph but zooming in makes it look strange) with the transition (press t) these are the mean types↓ • arithmetic mean • geometric mean (it worked on desmos but not scratch for some reason idk why) here desmos link https://www.desmos.com/calculator/eo58dgvbex • harmonic mean
comment which fractal i should add next or any other things to make it cooler also comment if something is wrong the goal is to make cool fractal image guys the smooth power morph looks like tv static when you zoom in enough i think its because of floating point arithmetic or something huge thanks to this youtube video for showing the fractals and how to make them (there is more information here than in my game) https://www.youtube.com/watch?v=HeUpSzC1vzU&pp=ygUOI2ZyYWN0YWxzb3VuZHM%3D huge thanks to this project for help me know how to make orbit traps https://scratch.mit.edu/projects/783874068/ and this one for telling me how to make some powers https://math.stackexchange.com/questions/9776/how-to-raise-a-complex-number-to-the-power-of-another-complex-number this one helped me make smooth colors gradient https://www.sekinoworld.com/fractal/coloring.htm and this one help for smooth colors too https://stackoverflow.com/questions/369438/smooth-spectrum-for-mandelbrot-set-rendering thank you so much griffpatch for teaching how to make image scanner https://www.youtube.com/watch?v=3lz1nylUHiY and this one for teaching how to get rgb values from integer https://math.stackexchange.com/questions/1635999/algorithm-to-convert-integer-to-3-variables-rgb huge thanks to this person for making many things i wanted to link the specific links but scratch didnt let me put it for some reason https://iquilezles.org/ this epic vid for more info https://www.youtube.com/watch?v=Ed1gsyxxwM0 also i asked ai if it knew more things and it also help a lot for example it gave me some formulas and explained them but i didnt use it to replace my work updates↓ •you can zoom in now with arrow keys and mouse check instructions for more informatoin •max iterations 500→1000 •there are now 4th power versions •use the s or h keys to show/hide variables •added new ways to color fractal more soon •added option to let last iteration be solid black or not •added 5th powers •new feature press j key •fixed bug that makes you not be able to swtich back •im trying to update colors to make them better •new fractals • im going to start adding my own text maybe • finally orbits but i dont have good ones yet • new fractals • the text was not good so i changed it back • you can invert fractals • press c to lock mouse to center • much better power morph • added airship again (might not be accurate) • new fractal and stretch and rotate fractals • power morphing is optional by pressing p • buggy smooth colors (im still trying to learn it) and i will eventually make it work with color slider • smooth colors work with color slider • you can invert rgb colors • smooth colors work with power morph now • made rotation better and you can make hybrid fractals (you can only combine two though unless you change it in the code its in a custom block called "hybrid") • make fractal transition by pressing t and inverting is now with pressing i • doing some variable changes to optimize the game (the goal is to be able to add custom formulas :D but idk how i will do it) so comment any bugs • im also going to try to make smooth color smoother • max iterations 1000 → 5000 • switched some so smooth gradient is type 2 and orbit is type 3 now • got image scanning soon i will try to map them to the fractal but for now its just remake the image (press space while on render type 4 to get the image data) • new render types (6 works best on mandelbrot set but i will fix it for the rest of the fractals soon i hope) • finally got the imaginary powers but only on the smooth power morph • added lots more images • images now work with any resolution but the fractal and scanner both have independent resolution (scanner is always 1 resolution) • fixed bug with power morph and render type 6 • now smooth colors are perfectly smooth (yay) but the way i did it was to change the escape and it made some things change (and some bugs) so im fixing • orbit traps are faster • fixed render type 6 its better than ever before • new image filters • cool new gradient things (more of those soon) • fractal transformations can be applied to images • another point to drag yay • you dont have to keep changing zoom power to zoom further it stays constant • more rgb things • fixed bug where scale type variable wont hide • for a long time theres issues with type 2 im trying to fix but it stopped working (2/24/26) project now saves the first 10 iterations im use this soon for more things for now does nothing (4/9/2026) fixed orbit trap combinations they used to not combine smoothly (4/13/2026) tried to fix render type 2 (4/14/2026) better distance estimation things for R6 (4/16/2026) added R9 it might be best one yet
