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As well as counting spheres in a pyramid, these numbers can be used to solve several other counting problems. For example, a common mathematical puzzle involves counting the squares in a large n by n square grid. [11] This count can be derived as follows: The number of 1 × 1 squares in the grid is n 2. The number of 2 × 2 squares in the grid ...
A noteworthy puzzle, known as the Chinese rings, Cardans' rings, the Baguenaudier or the Renaissance puzzle was mentioned in circa 1500 as Problem 107 of the manuscript De Viribus Quantitatis by Luca Pacioli. The puzzle is again referred to by Girolamo Cardano in the 1550 edition of his book De subtililate. Although the puzzle is a ...
The Tower of Hanoi (also called The problem of Benares Temple, [1] Tower of Brahma or Lucas' Tower, [2] and sometimes pluralized as Towers, or simply pyramid puzzle [3]) is a mathematical game or puzzle consisting of three rods and a number of disks of various diameters, which can slide onto any rod.
Senger adds that the second edition is especially welcome because of the difficulty of finding a copy of the out-of-print first edition. [7] Although the book concerns recreational mathematics, reviewer M. H. Greenblatt writes that its inclusion of exercises and problems makes it feel "much more like a text book", but not in a negative way. [4]
A triangular-pyramid version of the cannonball problem, which is to yield a perfect square from the N th Tetrahedral number, would have N = 48. That means that the (24 × 2 = ) 48th tetrahedral number equals to (70 2 × 2 2 = 140 2 = ) 19600. This is comparable with the 24th square pyramid having a total of 70 2 cannonballs. [5]
The first nine blocks in the solution to the single-wide block-stacking problem with the overhangs indicated. In statics, the block-stacking problem (sometimes known as The Leaning Tower of Lire (Johnson 1955), 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.