After Ashley Vermeersch put a lot of effort in convincing us to use his idea for a new competition, finally here it is.
Create a flat shape with a complete set of pentominoes.
Choose any pentomino and use 12 copies of it to surround the shape you just created. All pentominoes must be placed flat, in the same plane as the shape with the complete set of pentominoes.
The outer shape must
completely surround the inner shape and each pentomino in the outer shape
must touch the inner shape somewhere, where just touching in a corner
doesn't count. The total shape may not contain any holes.
Try to maximize the outer perimeter of the outer shape.
In
our example it is 82 units of length.
The
following example is not allowed, as the inner shape touches the space
outside the outer shape in a corner.
A
useful aid for searching a solution is the program “FlatPoly2”.
You can download it from the
homepage
of Aad van de Wetering from Driebruggen, the Netherlands.
The
winner earns eternal fame.
When you send in a solution, please mention weather you wish to receive a
pentominoset
Is your age between 12 and 18?
In that case you have a chance to win a TI-84 Plus, if you send a best
solution.
With
many thanks to:Texas
Instruments
who
sponsored us with the TI-84 Plus.
The draw of the winner will take place on the 15th of June 2009
Send your solution to:
o.d.m@fulladsl.be
