Thursday, May 18, 2017

Swap the edges in a solved Rubik's cube


I have a rubik cube, which always have two swapped edges in the last layer. No matter which color I start with, there are always two edges in the last layer which remained swapped with each other.


How to solve this scenario. Or if this is an invalid scenario, please can somebody explain how is this an invalid scenario.


See this image for sample:



http://m.imgur.com/u8P9Sag



Answer



In a Rubik's cube, every legal move swaps a even number of dowels, so any legal configuration can be obtained only with a even number of swaps. In this configuration, the difference between a legal cube (the solved one) and the current status consists of 1 swap; since 1 is odd, this is a No Win Scenario.


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