Twin Towers of Hanoi
نویسندگان
چکیده
منابع مشابه
Twin Towers of Hanoi
In the Twin Towers of Hanoi version of the well known Towers of Hanoi Problem there are two coupled sets of pegs. In each move, one chooses a pair of pegs in one of the sets and performs the only possible legal transfer of a disk between the chosen pegs (the smallest disk from one of the pegs is moved to the other peg), but also, simultaneously, between the corresponding pair of pegs in the cou...
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The famous Towers of Hanoi puzzle consists of 3 pegs (A, B, C) on one of which (A) are stacked n rings of different sizes, each ring resting on a larger ring. The objective is to move the n rings one by one until they are all stacked on another peg (B) in such a way that no ring is ever placed on a smaller ring; the other peg (C) can be used as workspace. The problem has tong been a favourite i...
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In this discussion we examine the famous Towers of Hanoi puzzle from an OR/MS perspective, focusing on its educational content. We show that this puzzle provides an excellent environment for illustrating a number of fundamental OR/MS problem-solving concepts in general and dynamic programming concepts in particular. In addition to the popular 'min' version of the problem, we also present an int...
متن کاملGeneralizations of the Hanoi Towers Problem
Our theme bases on the classical Hanoi Towers Problem. In this paper we will define a new problem, permitting some positions, that were not legal in the classical problem. Our goal is to find an optimal (shortest possible) sequence of discs' moves. Besides that, we will research all versions of 3-pegs classical problem with some special constraints, when some types of moves are disallowed.
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In this paper we analyze a variant of the n-disk Towers of Hanoi problem with an arbitrary starting and ending configuration using transition graphs representing valid configurations. In particular, we show that starting with any configuration, there is a sequence of moves that goes through each valid configuration exactly once and back to the starting configuration. Also, we show how the origi...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2012
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2012.03.026