Computer Science - Discrete MathematicsIn this paper, our aim is to prove that our recursive algorithm to solve the "Reve's puzzle" (four- peg Tower of Hanoi) is the optimal solution according to minimum number of moves. Here we used Frame's five step algorithm to solve the "Reve's ...
The tower of Hanoi (commonly also known as the "towers of Hanoi"), is a puzzle invented by E. Lucas in 1883. It is also known as the Tower of Brahma puzzle and appeared as an intelligence test for apes in the film Rise of the Planet of the Apes (2011) under the name "Lucas ...
Tower of Hanoi Main Concept Exponential functions can grow really fast. There is a legend, often attributed to Eduard Lucas, a French mathematician in the late 1800s, concerning a puzzle being played by a temple of monks near Hanoi in Vietnam. The puzzle consists of three pegs and 64 golde...
Computer Science - Discrete Mathematics05D99In this work I study a modified Tower of Hanoi puzzle, which I term Magnetic Tower of Hanoi (MToH). The original Tower of Hanoi puzzle, invented by the French mathematician Edouard Lucas in 1883, spans "base 2". That is - the number of moves ...
The classic Tower of Hanoi puzzle was marketed by Edouard Lucas in 1883 under the name "Tower of Hanoi" [31]. There, n disks are due to be moved from one peg to another, using an auxiliary peg while never placing a bigger disk above a smaller one. Its optimal solution is classic in...
On the Frame-Stewart algorithm for the multi-peg Tower of Hanoi problem It is proved that seven different approaches to the multi-peg Tower of Hanoi problem are all equivalent. Among them the classical approaches of Stewart and... S Klavzar,C Petr - 《Discrete Applied Mathematics》 被引量:...
Tower of HanoiThe generalized Tower of Hanoi problem with h<4 pegs is known to require a sub-exponentially fast growing number of moves in order to transfer a pile of n disks from one peg to another. In this paper we study the Path _h variant, where the pegs are placed along a line...
Computer Science - Discrete MathematicsThe Tower of Hanoi game is a classical puzzle in recreational mathematics (Lucas 1883) which also has a strong record in pure mathematics. In a borderland between these two areas we find the characterization of the minimal number of moves, which is $$2^n...
Computer Science - Discrete MathematicsMathematics - ProbabilityThis chapter studies solutions of the Tower of Hanoi puzzle and some of its variants with random moves, where each move is chosen uniformly from the set of the valid moves in the current state. The Tower of Hanoi puzzle consists of...
The weighted Tower of Hanoi problem is a new generalization of the classical Tower of Hanoi problem, where a move of a disc between two pegs i and j is weighted by a positive real w i j . This new problem generalizes the concept of finding the minimum number of moves to solve the ...