I've watched a few videos on how square wheels can roll on catenary roads. I've watched Morphocular's Video about rolling a square wheel around an object, but I was wondering what the path would be if the solution was on the outside instead of the inside. I tried to do the calculus, but never ended up getting it right. The image I linked is just a circular pattern of a straight line path, it is just to show what I want. I've found the calculus quite difficult if anyone can lend me a hand. I believe parametric polar coordinates are the way to go, but I am also having trouble just graphing anything in that manner. Lastly, I am aware that different radius' of the squares path, and different square sizes result in 10 'bumps' that evenly fit with any square size/path radius. If anyone could help with this difficult problem, that would be amazing! Thanks.
2026-04-01 11:59:54.1775044794
The Shape A Square Wheel Makes Rolling in a circle
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