# Constructing a corbeled arch

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Four bricks are to be stacked at the edge of a table, each brick overhanging the one below it, so that the top brick extends as far as possible beyond the edge of the table. (a) To achieve this, show that successive bricks must extend no more than (starting at the top brick)1/2, 1/4, 1/6, and 1/8 of their length beyond the one below. (b) Determine a general formula for the maximum total distance spanned by n bricks if they are to remain stable. (c) What is the mininum number of bricks each 0.3 meters long, is needed if the corbeled arch is to span 1 meter?

The answer to (b) is D=L(summation of n, i=1)1/2i (c) is 32 bricks. I don't know how to do this problem.

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##### Solution Summary

The solution determines a general formula for the maximum total distance spanned by n bricks if they are to remain stable and calculates the mininum number of bricks each 0.3 meters long, needed if the corbeled arch is to span 1 meter.

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