Block-stacking Problem
In statics, the block-stacking problem (sometimes known as The Leaning Tower of Lire , also the book-stacking problem, or a number of other similar terms) is a puzzle concerning the stacking of blocks at the edge of a table. Statement The block-stacking problem is the following puzzle: Place N identical rigid rectangular blocks in a stable stack on a table edge in such a way as to maximize the overhang. provide a long list of references on this problem going back to mechanics texts from the middle of the 19th century. Variants Single-wide The single-wide problem involves having only one block at any given level. In the ideal case of perfectly rectangular blocks, the solution to the single-wide problem is that the maximum overhang is given by \sum_^\frac times the width of a block. This sum is one half of the corresponding partial sum of the harmonic series. Because the harmonic series diverges, the maximal overhang tends to infinity as N increases, meaning that it is poss ...
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Block Stacking Problem
In statics, the block-stacking problem (sometimes known as The Leaning Tower of Lire , also the book-stacking problem, or a number of other similar terms) is a puzzle concerning the stacking of blocks at the edge of a table. Statement The block-stacking problem is the following puzzle: Place N identical Stiffness, rigid rectangular blocks in a stable stack on a table edge in such a way as to maximize the overhang. provide a long list of references on this problem going back to mechanics texts from the middle of the 19th century. Variants Single-wide The single-wide problem involves having only one block at any given level. In the ideal case of perfectly rectangular blocks, the solution to the single-wide problem is that the maximum overhang is given by \sum_^\frac times the width of a block. This sum is one half of the corresponding harmonic series (mathematics)#Partial sums, partial sum of the harmonic series. Because the harmonic series diverges, the maximal overhang Limit ...
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