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- Magnetic_Tower_of_Hanoi abstract "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, and that two disks may not be placed one on the another if their touching sides have the same color. Each disk has a North and South pole, with similar poles repelling one another and opposite poles attracting one another.Magnets inside each disk physically prevent illegal moves.One of the striking features of the classical ToH puzzle is its relation to the base 2: the minimum number of total moves required to solve the puzzle is 2n − 1 (where n is the number of disks), while the minimum number of moves made by disk k is 2k − 1 (disks are numbered bottom up so that k = 1 being the largest disk, and k = n being the smallest). It will be shown below that just as the original ToH puzzle is related to base 2, so the MToH is related to base 3, though in a more complex manner.".
- Magnetic_Tower_of_Hanoi thumbnail Free_MToH_five_disks_JPEG_110924.jpg?width=300.
- Magnetic_Tower_of_Hanoi wikiPageID "38329935".
- Magnetic_Tower_of_Hanoi wikiPageLength "23199".
- Magnetic_Tower_of_Hanoi wikiPageOutDegree "20".
- Magnetic_Tower_of_Hanoi wikiPageRevisionID "676533822".
- Magnetic_Tower_of_Hanoi wikiPageWikiLink Category:Mathematical_logic.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink Characteristic_polynomial.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink Concrete_Mathematics.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink Integer_sequence.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink Magnetic_Tower_of_Hanoi.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink Markov_chain.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink Mathematical_induction.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink Recurrence_relation.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink Recursion.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink Recursive.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink Symmetry.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink T-symmetry.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink Time_reversal_symmetry.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink Tower_of_Hanoi.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink File:9D._Two-disk_solution_all_3_steps_JPEG_111016.jpg.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink File:End_position_three-disk_JPEG_110924.jpg.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink File:Free_MToH_five_disks_JPEG_110924.jpg.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink File:MTOH_Colored_Variations_New.png.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink File:MToH_Markov_Solution.png.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink File:MToH_three_disks_one_floats_JPEG_110924.jpg.
- Magnetic_Tower_of_Hanoi wikiPageWikiLink File:Start_position_three-disk_JPEG_110924.jpg.
- Magnetic_Tower_of_Hanoi wikiPageWikiLinkText "colored variations".
- Magnetic_Tower_of_Hanoi date "August 2015".
- Magnetic_Tower_of_Hanoi hasPhotoCollection Magnetic_Tower_of_Hanoi.
- Magnetic_Tower_of_Hanoi reason "The disks in the photo actually are magnetic. An 'analogy' involves two different things, right? What is the other thing?".
- Magnetic_Tower_of_Hanoi wikiPageUsesTemplate Template:Clarify.
- Magnetic_Tower_of_Hanoi subject Category:Mathematical_logic.
- Magnetic_Tower_of_Hanoi hypernym Variation.
- Magnetic_Tower_of_Hanoi type Food.
- Magnetic_Tower_of_Hanoi type Field.
- Magnetic_Tower_of_Hanoi comment "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, and that two disks may not be placed one on the another if their touching sides have the same color.".
- Magnetic_Tower_of_Hanoi label "Magnetic Tower of Hanoi".
- Magnetic_Tower_of_Hanoi sameAs m.0h3tr6p.
- Magnetic_Tower_of_Hanoi sameAs Q6731505.
- Magnetic_Tower_of_Hanoi sameAs Q6731505.
- Magnetic_Tower_of_Hanoi wasDerivedFrom Magnetic_Tower_of_Hanoi?oldid=676533822.
- Magnetic_Tower_of_Hanoi depiction Free_MToH_five_disks_JPEG_110924.jpg.
- Magnetic_Tower_of_Hanoi isPrimaryTopicOf Magnetic_Tower_of_Hanoi.