SMRTR Science & EngineeringJul 6, 2025Scientific American

Math’s Block-Stacking Problem Has a Preposterous Solution

SMRTR summary

A mind-bending math problem reveals that a stack of blocks can theoretically extend infinitely over a table's edge without falling. The solution involves the harmonic series and center of mass concepts. By carefully arranging each block to counterbalance those above it, the tower can grow endlessly, though real-world factors would limit practical applications. This surprising result demonstrates how simple mathematical principles can lead to counterintuitive outcomes.

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