Discussion about this post

User's avatar
Doug Engel's avatar

Bram, If you imagined a ribbon connecting front and rear face then clockwise is the same for each since this twists the ribbon the same way. Twist is self organizing. You could justify this by imaging only t a2x2x2 cube and clockwise is the same for when you put back on front clockwise is the correct move that replicates the previous front move. It works well this way. But I totally see your point.

Expand full comment
Kevin's avatar

It's intuitive-ish that the rotations of a cube are S4 because they correspond to the permutations of the four diagonals (between one corner of the cube and the opposite corner). I think this reasoning is specific to three dimensions, though, because the rotations of a 2d cube are not S3.

Expand full comment
1 more comment...

No posts