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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.
Turtle Tower (Vietnamese: Tháp Rùa / 塔𪛇), also called Tortoise Tower, is a small tower in the middle of Hoan Kiem Lake (Sword Lake) in central Hanoi, Vietnam. It is one of the most iconic, symbolic and most recognizable pieces of architecture representing Hanoi and the entirety of Vietnam.
Flag Tower of Hanoi. Cột cờ is composed of three tiers and a pyramid-shaped tower with a spiral staircase leading to the top inside it. The first tier is 42.5 m wide and 3.1 m high; the second - 25 m wide and 3.7 m high and the third - 12.8 m wide and 5.1 m high. The second tier has four doors.
The Magnetic Tower of Hanoi (MToH) puzzle is a variation of the classical Tower of Hanoi puzzle (ToH), where each disk has two distinct sides, for example, with different colors "red" and "blue". The rules of the MToH puzzle are the same as the rules of the original puzzle, with the added constraints that each disk is flipped as it is moved ...
This article explains the game with the cards overlapping to avoid confusion. There are versions of the game where the cards are laid out in a 3×3 grid and the player aims to make a vertical column with the direction of play either upwards or downwards; the rules above can be modified to suit the direction and/or manner of play.
Although this book is in recreational mathematics, it takes its subject seriously, [8] and brings in material from automata theory, computational complexity, the design and analysis of algorithms, graph theory, and group theory, [3] topology, fractal geometry, chemical graph theory, and even psychology [1] (where related puzzles have applications in psychological testing).
A particular case of the Hanoi graphs that has been well studied since the work of Scorer, Grundy & Smith (1944) [1] [6] is the case of the three-tower Hanoi graphs, .These graphs have 3 n vertices (OEIS: A000244) and 3(3 n − 1) / 2 edges (OEIS: A029858). [7]
tower of hanoi graph: Image title: Hanoi graph for three discs by CMG Lee. Use systemLanguage "pa" for the longest path, "cy" for the longest cycle, "tw" for the two-disc version and "en-simple" for the one-disc version. Width: 100%: Height: 100%