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Ghost Square-1
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A Square-1 treated like the Ghost Cube.

A Square-1 in midturn state transformed back into hexahedral shape but twisted inside the solid. As the result of such an awkwardly oriented axis system every piece is uniquely shape and therefore different stickers are not necessary.
In 2013 Aj Lu presented a different shape transformation he named "Ghost Square-1" but it is very similar to "Marcos Square-1" which is even older and has its own entry in the museum.

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