https://repl.it/@guymichaely/grid-intersections
https://imgur.com/a/iSH3W
I made a little grid drawing algorithm. The way it works is that every time the cursor intersects a line, it changes its direction 90 degrees left or right (whichever one keeps it in the rectangle) and toggles whether or not it draws while it moves. The cursor always starts off in the bottom left and starts off with drawing set to true.
You can change the dimensions of the box on lines 12 and 13, and you can change the drawing speed on line 14 (0 for fast as possible, integers 1 to 10 for slow to fast). On line 15 you can make the cursor disappear by removing the # at the beginning of the line.
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