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
|
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