Pentomino Quartets and congruent shapes

Helmut Postl
from Austria mailed us this nice pentomino problem.

Look for
4 pentominoes A,B,C and D so that A+B and C+D make the same shape.

You also
do that with A+C and B+D and then with A+D and B+C.

Example

Find a solution

At Christmas 2011 we received an email from
George Sicherman: *"I just found your page on
Pentomino Quartets. For your information, there are 37 quartets in all:
FILP FILY FLPY FLTY FLUY FLWY FLXY FLYZ FNPW FNTY FNVY FNWY FNXY FNYZ FPTY ILNP
ILNV ILNW ILPT ILPV ILPY ILTY LNPT LNPU LNPY LNUV LNVZ LPUV LPUY LPVZ LTUY LTYZ
NPTW NPTZ NPUY NPWY NTVY
Let me know if you would like to see the solutions. I think you are clever
enough to find them on your own!"
*Here are the quartets we have not found:

Do you have other groups of 4 pentominos?

Mail us

o.d.m@fulladsl.be