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Roll Over Puzzle
Start with an open space in the middle & all cubes showing Butterflies or all showing Trees. Roll the cubes 1 at a time to the open space (using a 1/4 turn of the cube) and reverse the pictures from Butterflies to Trees (or vice-versa) with the open space ending up in the middle again. It's a very challenging puzzle to solve at all and extraordinarily difficult to solve in the minimum number of moves possible (36).This is a combinatorial puzzle invented by John Harris in the early 1970’s with analysis and solution by John from the “Journal of Recreational Mathematics”, vol 7, 1974. He determined a solution was possible in 38 moves, however, later computer analysis as documented by Martin Gardner in his book “The Colossal Book of Short Puzzles and Problems”, 2006, showed that it is possible in 36 moves.The cubes are about 1.4” across and the cubes in the box measure about 5x5x1.8”Printing was done by a UV flatbed printer directly onto the wood. Made in our Florida shop
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roll
puzzle
start
open
space
middle
&
cubes
showing
butterflies
trees. 
time
turn
cube
reverse
pictures
trees
vice-versa) 
ending
again. 
challenging
solve
extraordinarily
difficult
minimum
number
moves
36).this
combinatorial
invented
john
harris
early
1970’s
analysis
solution
“journal
recreational
mathematics&rdquo
vol
1974. 
determined
computer
documented
martin
gardner
book
“the
colossal
short
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