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Pentiles-1

The Grid


The Set: 4 pentiles


The Set: 1-3 pentiles



The Idea
The 17 pentiles are one over the number to fill a diamondshape (actually the circumfence is a square). Thus one piece must be left out, and only these three comply. The remaining 16 fill the shape in many ways, and these are three of them.

          



Here are two 5-hex solutions using the 1-3 pentiles set .





There are two, and only two, 4-hex solutions using the 3 pentiles set and an additional single pentile.





Obviously we wouldn't deny you a '22 hexes' solution with the full 1-4 set.




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