Pentahex Portholes Problem :
Take a full set of 22 pentahexes. Construct a figure with the maximum number of unit holes. Symmetrical solutions are preferable.
Whilst this puzzle is not new, the previous best solution was a figure with 30 holes and no symmetry.
| Holes | Shape | Holes | Shape | Holes | Shape |
|
30 |
 |
30 |
 |
31 |
 |
|
32 |
 |
32 |
 |
32 |
 |
|
33 |
 |
33 |
 |
| Holes | Shape | Holes | Shape | Holes | Shape |
|
31 |
 |
32 |
 |
32 |
 |
|
32 |
 |
33 |
 |
33 |
 |
|
33 |
 |
| Holes | Shape | Holes | Shape | Holes | Shape |
|
32 |
 |
32 |
 |
33 |
 |
| Holes | Shape | Holes | Shape | ||
|
32 |
 |
32 |
 |
32 |
 |
|
33 |
 |
| Holes | Shape | ||||
|
34 |
 |
||||
| Note the holes have bisymmetry, but not the whole shape. Can you do better? |