4/6/2023 0 Comments Hanoi towers![]() The Towers of Hanoi is similar, except the diamond needles are replaced by wooden dowels, and the golden disks replaced by wooden disks. Lucas published his work in the 3rd volume of Récreations Mathématiques. To put this into perspective, it is estimated that the age of the universe is 13.8×10⁹ years. This assumes the disks would be moved with 2 64-1 moves, which at the rate of one move per second, gives 1.84×10¹⁹ seconds (or 5.845×10¹¹ years). The legend however, were it to be true, would take roughly 600 billion years to fulfill. It is not clear whether Lucas invented this legend or was inspired by it. Translated into English from Henri, de Parville, la tour d’Hanoï, Compte rendu de l’éditeur, Journal des Débats Politiques et Littéraires, 27 December 1883, revue des sciences, p.1-2 When following these rules the 64 discs have been transferred from the needle upon which they placed to the third needle, the tower, and the Brahmins will crumble to dust, and it will signify the end of the world. The priest can only move one disc at a time he can place this disc on an unoccupied needle, or above a larger disc. Night and day the priests are continuously occupied, transferring the discs from the first diamond needle to the third, without deviating from the fixed and immutable laws imposed by Bramah. On one of these needles God at the creation placed sixty-four discs of pure gold, the largest disc resting on the brass slab, and the others placed in increasingly smaller diameters atop one another. It is said that, in the great temple at Benares, beneath the dome which marks the centre of the world, one may see fixed in a brass-plate three diamond needles, one cubit high and as thick round as the body of a bee. It was de Parville who elaborated on the legend, producing a much more embellished backstory. Claus (Edouard Lucas), La Tour d’Hanoï, Veritable Casse-tête Annamite (1883) When all is finished, the Tower and the Brahmins will fall, and that will be the end of the world!” Translated into English from the instruction sheet provided with the game. “According to an old Indian legend, the Brahmins have been following each other for a very long time on the steps of the alter in the Temple of Bernares, carrying out the moving of the Sacred Tower of Brahma with sixty-four levels in fine gold, trimmed with diamonds from Golconde. The instruction sheet that came with the game briefly outlined the legend: The legend was likely created to create an air of mystique around the game itself. ![]() The Tower of Hanoi is loosely based on the legend of the Tower of Brahma, because no one has ever proven such a tower ever existed. The front of the box from the original game ![]() Coding Cobol: Adding “time to accrue” calculation. ![]()
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