In a magic square, the sum of the numbers in each row, column and
diagonal row is always the same.
We will start with the
most famous
magic square,
the Lo-Shu.
Lee Sallows had the brilliant idea to replace numbers by shapes. With all
shapes in any row, column or diagonal row the same main-shape must be
formed.
A magic 2010 !
Matthijs Coster from the Netherlands created a
competition for the
Dutch magazine Pythagoras.
We changed the question in that competition for our own pentomino-competition.
As shapes we choose the polyominoes.
In the figure below, you can see a magical square with shapes (or a
geo-magical square), of which one is a (red) F-pentomino.
Find 11 other geo-magical squares of size 3x3, using each of the other
11 pentominoes as a central piece once.
You have total freedom to decide on the main shape to be formed, as long
as each row and column contains a congruent shape.
The sizes of the 9 shapes must be 1 upto 9.
Each contestant earns eternal fame.
We will be content with a single solution already, we'll be thrilled
though to receive a set of 11 solutions though.
Whomever send in a solution is free to request a
pentominoset.
If you do wish to receive one, please let us know.
Is your age between 12 and 18?
In that case you have a chance to win a TI-Nspire, if you send a best
solution.
With
many thanks to:Texas
Instruments
who
sponsored us with the TI-Nspire.
The draw of the winner will take place on the 13th of January 2010
Send your solution to:
o.d.m@fulladsl.be
