Consider the following puzzle. Five coins are arranged around the vertices of a pentagon. The goal...
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Consider the following puzzle. Five coins are arranged around the vertices of a pentagon. The goal for this puzzle is to go from the starting configuration below E D to a goal configuration that is a rearrangement of the coins around the pentagon. There are two allowable moves that can be applied repeatedly in any order: Move X: you can rotate the coins around the pentagon, and Move Y: you can rotate the coins in the upper triangle of the pentagon. B E D E For example, two applications of move X from the starting position results in D B B E Then one application of move Y to the above results in B D A For each of the following, show that the given configuration can be obtained with a combination of moves X and Y, or prove no combination of moves X and Y lead to the given configuration: (a) (b) B C E E D B D Consider the following puzzle. Five coins are arranged around the vertices of a pentagon. The goal for this puzzle is to go from the starting configuration below E D to a goal configuration that is a rearrangement of the coins around the pentagon. There are two allowable moves that can be applied repeatedly in any order: Move X: you can rotate the coins around the pentagon, and Move Y: you can rotate the coins in the upper triangle of the pentagon. B E D E For example, two applications of move X from the starting position results in D B B E Then one application of move Y to the above results in B D A For each of the following, show that the given configuration can be obtained with a combination of moves X and Y, or prove no combination of moves X and Y lead to the given configuration: (a) (b) B C E E D B D
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
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