Classification Challenge

The Set of Pentominoes:

Create four yes/no questions which uniquely classify each pentomino.

Examples of such questions are:

Does it have line symmetry? More explanation: click here

Is it the net of an open box?

Double the size of the pentomino by using 4 different pentominoes. Are there more than 2 different solutions? More explanation: click here.

Can this pentomino together with another pentomino make the decamino 1 More explanation: click here.                         decamino 1

The idea is to create a set of questions where no pentomino has the same answers as another.

Example:

Pentomino	Line Symmetry	Open box	More than 2 solutions	Make the decamino together with another
F	no	yes	no	yes
I	yes	no	no	no
L	no	yes	yes	no
N	no	yes	yes	yes
P	no	no	yes	yes
T	yes	yes	no	no
U	yes	no	yes	yes
V	yes	no	no	yes
W	yes	yes	yes	no
X	yes	yes	no	yes
Y	no	yes	no	no
Z	no	yes	yes	no

So these four questions do not work. The set of answers for Z are the same as we had for L
Can you think of four questions which will work?

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