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Thank you for the feedback and your kind words!
"when you switch, you should also move one space along" - this was literally how it initially worked, but then after first tests it turned out that for a new player it's a bit counter intuitive and unexpected, although this could be cool as a toggle-able perk.

(+1)

Interesting. I can see why it could feel off for some people. Another idea I had was for the rotation to be on separate buttons and to just jump you to the same space on an adjacent side (essentially a shortcut for moving 5 spaces with rotation built in). 

This is a cool idea! Thank you.