Warning: Run here for near-instantaneous search times and no lag: https://turbowarp.org/939832070 Not sure how best to explain this... This takes (approximately) the first 1,000,000 (million) digits of pi, then goes through each one, and if it's an even number, it sets that pixel to black, and if it's odd, it sets that pixel to white. It then draws all those pixels to a scrolling canvas (which you can either use the scroll wheel or up/down arrows to navigate). This can easily be seen if you set the width to 12. You'll see the pattern: (1=odd,0=even) [1,0,1,1,1,0,0,1,1,1,0,1], which directly corresponds to the first 12 digits of pi (141592653589). So this is how we display the first million digits of pi. You can press space to open a canvas, this is where you can draw anything you want. It doesn't matter what. For your first drawing, I'd recommend a 3x3 drawing. After drawing something, you can press space again, to toggle back to the pi visualization. If you press Q, this will search the entire canvas for the drawing you just made. If it finds it, it'll teleport you to that position, and highlight the pattern you just drew. And yea so using this you can search for patterns in a black n' white visualization of pi. Made this in an afternoon, all code by me (including the scrolling engine which I'm actually quite proud of :D)
Some cool patterns I found :D Cool checkerboard pattern :D Canvas Width(s): 12, 18, 19, 20 Pattern: (0=black, 1=white) (7x3) [0,1,0,1,0,1,0] [1,0,1,0,1,0,1] [0,1,0,1,0,1,0] The biggest purely white square I could find :D Canvas Width(s): 10, 13, 18 Pattern: (0=black, 1=white) (5x4) [1,1,1,1,1] [1,1,1,1,1] [1,1,1,1,1] [1,1,1,1,1] among us dude :D Canvas Width(s): 14 Pattern: (0=black, 1=white) (5x5) [1,0,0,0,0] [0,0,1,1,0] [0,0,0,0,0] [0,0,1,1,0] [1,0,1,1,0] Quite interestingly, the actual symbol of PI shows up quite a lot. Canvas Width(s): 6, 8, 9, 10, 11 (cool percent number, lot of 6s and 2s), 13, 14, 15, 16 (2% through no less!), 18, 19, 20 Pattern: (0=black, 1=white) (5x5) [0,0,0,0,0] [1,0,1,0,1] [1,0,1,0,1] [1,0,1,0,0] 33.33% through pi :D Canvas Width(s): 12 Pattern: (0=black, 1=white) (7x7) [0,1,0,0,1,0,1] [0,1,0,1,0,0,1] [1,0,0,1,0,1,0] [1,1,1,1,0,0,1] [1,1,1,1,0,1,0] [1,0,1,0,0,0,1] [0,1,1,0,0,1,1] Ended up going on a little exploration of irrational numbers in Scratch project IDs, the only one I could find that had the first 9 digits of any irrational number was from Tau: But the first 7 digits of pi is pretty impressive as well! (might someday have this project go higher than the first million digits, it'd also be cool to expand it to other irrational numbers such as Euler's number, the golden ratio, or sqrt(2), I think that'd be cool!)