When I tried to stack 21 circles of radii $(30, 31, 32... 50)$ on top of each other in a tube (ID of $100$ wide), I thought they would reach the same height regardless of the order, however I was wrong. Here I tried out three different arrangements of what order to stack the circles, from largest to smallest, alternating largest and smallest, and alternating from middle to largest and working smaller. I cannot come to a clear conclusion of which way would stack all of the circles in the lowest height. Does anyone have any idea of what method of stacking would give the lowest height?
2026-03-27 00:01:46.1774569706
Stacking circles
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