Use the halves of the screen, the left and right arrow keys, the A and D keys or if you're left-handed but apparently don't use arrow keys, the J and L keys. Your moves correspond with the Thue-Morse sequence, starting by clicking the left half, then the right, then every time you get to the end, you repeat everything you've done, backwards. Or inverted. They both give you the same answer. Try to beat my mighty high score of 256!
The Thue-Morse sequence is something I made some fractals out of a while ago. The thing is, there's no memorisation past the algorithm to be done, and calculating it is simple. Start with a list with one number, 0. Then, take the entirety of the list, copy it into a second list, invert the second list, then join the second onto the first. Then, whenever you get past the length of the list, do this again. Because you can get onto the next iteration by replacing 0s with 01s and 1s with 10s (or by repeating this n times to go n iterations forward), it's like a non-visual fractal in it's own right, and once you get as good as me (high score of 256, boi), you really understand this infinity. But, since the formula is easy, and you should be able to remember the number of the move you're on, and more importantly, the numbers before it, it all comes down to your short-term memory ability. Or you can cheat, knowing how intensely I disapprove. I might add some features like having the board flip around, but for now, the music is nice. Also, this is mobile-compatible, with it's big buttons, so people whose thumbs are like avocadoes or potatoes or some other fat vegetable, or who just have a really small phone should be able to do it. (Or people with iPads, but thumbs as big as watermelons. They would also be able to do it.)
