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 ...
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 $$2^n...
The Tower of Hanoi game is a classical puzzle in recreational mathematics (Lucas 1883) which also has a strong record in pure mathematics. In a borderland between these two areas we find the characterization of the minimal number of moves, which is $$2^n-1$$ 2 n - 1 , to transfer a...
Computational Solution of an Old Tower of Hanoi Problem This is the amazing story of an innocent looking mathematical puzzle turning into a serious research topic in graph theory, integer sequences, and algorith... AM Hinz,C Petr - 《Electronic Notes in Discrete Mathematics》 被引量: 4发表: ...
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
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:...
void towerOfHanoi(int n, char source, char auxiliary, char destination) { if (n == 1) { printf("Move disk 1 from %c to %c\n", source, destination); return; } towerOfHanoi(n - 1, source, destination, auxiliary); printf("Move disk %d from %c to %c\n", n, source...
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 ...
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 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 \(2^n-1\), to transfer a tower of n...