PUMaC 2024 · 团队赛 · 第 5 题
PUMaC 2024 — Team Round — Problem 5
题目详情
- The Minkowski sausage is constructed as follows. M is the line segment from (0 , 0) to (1 , 0). 0 M is constructed by replacing each segment in M with eight segments, each of length i +1 i i +1 1 / 4 (see figure below, where we have provided M through M ). 0 3 Let M be the limiting shape of M , M , . . . . The area of the smallest convex polygon which ∞ 0 1 a encloses M can be written as for relatively prime positive integers a and b . Find a + b . ∞ b
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