There are two types of circles, alpha circles and beta circles. Alpha circles have radius $r$, beta circles have radius of $1/r$. And, these two types of circles have to be fit into a square of length $r^r$. What is the maximum number of alpha and beta circles we can fit inside one square together, such that no circle intersects another circle? Circles are allowed to touch each other and allowed to touch the sides of the square. Placing of smaller circles inside bigger circles is allowed.
2026-03-26 14:33:22.1774535602
Max circle packing in a square
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