"The Magic Ultimaze"
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After seeing a brilliant idea made by Mark Wittkamp (i.e. a magic with three different solutions - two single flat and one cubic - using a hybrid method), I decided to make a last magic for 2006, which will combine the designs of the Magic Daze and Magic Craze. So here I present a six-tile magic, that has two double flat solutions, as well as two cubic solutions.It is the ultimate maze in terms of mathematical combinations and plurality of solutions, this is why it is called Magic Ultimaze! The Magic Ultimaze has two different patterns in it. It has continuous diagonal lines, and also, horizontal and/or vertical lines made of colorful marbles. Each type of lines has two solutions, a flat solution with a closed loop line (around both sides of the flat magic), as well as a cubic solution with a closed loop line. Now if you add to this a bonus solution made of two closed loops, then we actually have five solutions! :-P In all the above mentioned solutions there are no open loop lines.All solved closed loops pass through all the tiles at all times. |
The solved states of the Magic Ultimaze:
(click on the pictures to enlarge)
Solution 1
Diagonal cubic solution.
The continuous line goes around the cube and connects the parts 1 and
2.
Solution 2
Diagonal double flat solution.
The continuous line goes around both sides of the magic
and connects the parts 1, 2, 3, 4, 5, 6,
7, and 8.
Solution 3
Marble cubic solution.
The continuous line goes around the cube and connects the parts 1 and
2.
Solution 4
Marble double flat solution.
The continuous line goes around both sides of the magic
and connects the parts 1 and 2.
Regarding the fifth solution (cubic with two closed loops),
I leave it for you to find it! :-)
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To build this puzzle you will need some strings, plastic tiles, and some nice
paper tiles.
For information of how to connect/number the tiles and the strings, visit
two brilliant articles here
and here,
(courtesy of Twisty Puzzles
articles).
Please let me know of any comments or suggestions. Thanks! :-)