User:Arjun sunel/Solvability of a 3x3x3 Rubik's Cube State?: Difference between revisions

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==Solvability Understanding Using A Solved Cube==
==Solvability Understanding Using A Solved Cube==
===Case 1: Twist a corner===
===Case 1: Twist a corner===
Suppose, you are holding a solved Cube. Now, pick a corner and twist it clockwise (or anticlockwise) by 120 degree (by removing it out and rotate by 120 degree and put it again in the same place)
Suppose, you are holding a solved Cube. Now, pick a corner and twist it clockwise
(or anticlockwise) by 120 degree (by removing it out and rotate by 120 degree and put it again in the same place)
The cube state so obtained is unsolvable because it is not possible to solve the twisted corner without disturbing the positions of already solved cubies using any legal moves.
The cube state so obtained is unsolvable because it is not possible to solve the twisted corner without disturbing the positions of already solved cubies using any legal moves.


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File:flip_edge.png|Flip an edge.
File:flip_edge.png|Flip an edge.
File:Swap_edges.png|Swap just two edges.
File:Swap_edges.png|Swap just two edges.
File:Swap_corners.png|Swap just two edges.
File:Swap_corners.png|Swap just two corners.
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