All possible configurations for
Two Sided Single-Closed-Loop Magics.
After playing continuously (and with a lot of pleasure) all sorts of types
for magics,
I believe it will be nice to reveal each different kind of those which are
"single closed loop square tiles"
(i.e. the stringing goes around like a closed loop).
Note that, all the Rubik's magics to date, as well as all commercial creations
belong to this category.
The possible architecture of such magics could be as shown in the pictures
below:
| General notes: - The red line shows the actual closed loop (i.e. the tiles that are adjacent). - There are always two types of even numbered magics (for a specified number of tiles) because of a parity problem/difference. - This issue does not exist in the odd numbered magics since their "moebius" like stringing prevents it. In other words, there is only one type of odd numbered magics for a specified number of tiles. Individual notes: - the 3-tile magic has only two positions, by bringing it from inner to outer (and vice versa), and it requires some string stretching. - the 4-tile type B, is rigid and cannot move without actually damaging the strings. - the 5-tile can tranform from its "easy" free shape, to a rigid cubic shape, with some serious stretching. - the 6-tile type B, has very limited movement (in fact, all B types have much limited movement compared to the A types |
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! :-)