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Hyperspeedcubing

On a side note I am curious,

Is there a 4d version of the octahedron puzzle (like FTO) ever thought of in hypercube software?

If yes, how does the 4d fto puzzle look like?
Cell turning 24-cell might be considered the most popular extrapolation, but there may be other ways to generalize an FTO into 4D.

Programs that generate this puzzle are Magic Puzzle Ultimate, and the unreleased HSC2.
 
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