RE: Perl 'Expert' Quiz of the Week #23 - Rotation

At 1:26 pm -0700 2004-09-09, Coleman Tom wrote:
>Here is a proposal:
>
>The dots are centers of rotation.
>The square does not change on ratation.
>
>initial blocks:
>
>     ##   .@  %.   *.*  &.&  ++.+  $.$
>     ##  @@    %%  *      &         $
>
>shapes rotated once clockwise ( dots do not move ):
>
>                               +
>         @     %  **     &     +    $
>     ##  @.   %.   .     .     .   $.
>     ##   @   %    *    &&     +    $
>

To extend that .. here's my rotations:

     #.   .@  %.   *.*  &.&  ++.+  $.$
     ##  @@    %%  *      &         $


                               +
         @     %  **     &     +    $
     #.  @.   %.   .     .     .   $.
     ##   @   %    *    &&     +    $




     #.   .@  %.     *  &    ++.+  $.$
     ##  @@    %%  *.*  &&&         $


                               +
         @     %   *     &&    +    $
     #.  @.   %.   .     .     .    .$
     ##   @   %    **    &     +    $


These are based on the first game of tetris I ever played. Note that 
the '+' piece doesn't really rotate around the designated point, it 
really toggles between horizontal and vertical.

>Rotation sometimes does not make the block extend lower than it was. 

Will never make it extend lower. There is always one segment below the pivot.


>Rotation is possible if all future blocks are open.

Correct. You do not have to work out the maths to make sure it could 
physically rotate. Consider this possible move:

           6| &  +     |          6| &        |          6| &        |
           5| &&&+&***+|          5| &&&+&***+|          5| &&& &***+|
           4|$$$&+&*@@+|          4|$$$&+&*@@+|          4|$$$& &*@@+|
           3|&$  + @@ +|          3|&$  + @@ +|          3|&$++++@@ +|
           2|&&&% %%%%+|          2|&&&%+%%%%+|          2|&&&% %%%%+|
           1+----------+          1+----------+          1+----------+
             ABCDEFGHIJ             ABCDEFGHIJ             ABCDEFGHIJ

Not possible in the physical world but allowable in Tetris.

>Rotation cannot be combined with a drop.

One move at a time at all times. A drop is a move. A rotation is a 
move. A left or right nudge is a move.

Thanks tom!

Cheers!
Rick

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