Pentomino Challenge
This challenge is more difficult than it looks. Create four yes/no
questions which uniquely classify each pentomino.
You can view the pentomino pieces here
Examples of such questions are:
The idea is to create a set of questions where no pentomino
has the same answers as another.
Example

Rotational Symmetry 
Reflection Symmetry 
Open Box 
Point Symmetry 
F 
no 
no 
yes 
no 
I 
yes 
yes 
no 
yes 
L 
no 
no 
no 
no 
M 
no 
yes 
yes 
no 
N 
yes 
no 
yes 
yes 
P 
no 
no 
no 
no 
T 
no 
yes 
yes 
no 
U 




V 




X 




Y 




Z 




... so these four questions do not work ... the answers for T
are the same as for M ... !
Can YOU think of four questions which will work?
(You can discuss this at the forum.)
This is based upon an investigation by L Mottershead. Sources
of Mathematical Discovery
