Pentahex Portholes Problem

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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.

Double Bilateral Symmetry

Holes Shape Holes Shape Holes Shape

30

30

31

32

32

32

33

33

   

Horizontal Symmetry

Holes Shape Holes Shape Holes Shape

31

32

32

32

33

33

33

       

Vertical Symmetry

Holes Shape Holes Shape Holes Shape

32

32

33

Birotary Symmetry

Holes Shape Holes Shape    

32

32

32

33

       

No Symmetry

Holes Shape        

34

       
  Note the holes have bisymmetry, but not the whole shape. Can you do better?        

 

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