Explanation: this is a simulation that graphs the values of the "3n+1" equation, first enter a number you want to enter into the equation then it will graph the results. here's an explanation for the equation: if n (the number) is even than divide by 2, if n is odd than times by 3 and add 1, then repeat with the result until your stuck in a 4-2-1 lop. the interesting thing is any number you enter into the equation will always eventually reach 1. i don't believe anyone knows why but every number we've tried ends up at 1
the variable boxes are from top to bottom: status of the program, highest number, and 0 (just there to look even) really big numbers might not look too spectacular due to there not being that much graphical fidelity with pen also if the number inputted takes over 200000 numbers to get to 1 than it will not work due to the size limit of lists, i can make the limit larger but I'm to lazy to do so.