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Pentominoes packing a 3x20 rectangle

9873210
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Re: Pentominoes packing a 3x20 rectangle

#386550

Postby 9873210 » February 14th, 2021, 7:04 am

+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+
| U U | X | P P : P | Q Q Q Q | R | T T T | W : W | Z | V V V |
+ +---+ +---+ + + +---+---+---+ +---+ +---+ +---+ +---+---+ +
|AU | X X X | PA:BP | Q | S S | RB:CR R | T | W WC|DY | Z Z Z | VD|
+ +---+ +---+---+---+---+---+ +---+---+ + + +---+ +---+---+ + +
| U U | X | O O : O O O | S S : S | R | T | W | Y : Y Y Y | Z | V |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+
| U U | X | P P : P | Z | Y Y Y : Y | W | T | R | S : S S | V V V |
+ +---+ +---+ + + +---+---+ +---+ + + +---+---+ +---+---+ +
|AU | X X X | PA:BP | Z Z Z | YB|CW W | T | R RC:DR | S S | q | VD|
+ +---+ +---+---+---+---+---+ +---+ +---+ +---+ +---+---+---+ + +
| U U | X | O O : O O O | Z | W : W | T T T | R | q q q q | V |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+


Comparing the two solutions and they differ by the rotation of the colored block.
I can't help thinking that there must be something related to this that provides some sort of short cut.
If we could find a way to place the P and the O directly after placing the U,X,and V the 140 line post would
be considerably shorted,
"Note the symmetry of the remaining space. Only Q and Z can go next to ... "
It might be notable that A:B was barely mentioned in this thread or that O was not placed earlier.


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