MC4D {6}x{5}2 solved
Eduard Baumann
Multiple pieces have the advantage to permit to do a "single pseudo-exchange" with a 3-cycle. But it is relatively difficult to create a 3-cycle macro because it is complicated to identify the pieces.
Those puzzles are not at all boring and should be experienced by everybody.
A puzzle variant
There is a possibility to study a modification of the 652 puzzle in
4D.
The 5 types of pieces in 652 are
2c type 1 (hexagonal prismes
stickers)
2c type 2 (trigonal prismes A stickers)
2c type 3 (trigonal
prismes B stickers)
2c type 4 (pentagonal prismes stickers)
4c (hexaedric
stickers)
Definition
652* = 652 only with 2c type 1 and
4c
After a full scramble and then arranging the 2c type 1 pieces you must
chose where to place the first of the sequence of 6 colors.
You have a
50% chance to get the wrong parity !
Imagine you chose a neighbouring
place.
This case corresponds to a puzzle that is turned as a whole by one
position.
This turn consists of 5 cycles with 6 pieces each and has odd
parity !
In contrary to the solver the scrambled puzzle knows the place
of the first of the 6 colors.
When the solver choses the wrong place he is
left with an unsolvable isolated exchange of 2 pieces at the
end.
