Cleave Books Pentominoes The Enclosure Problem The drawing below shows the full set of 12 pentominoes arranged to enclose a 'field'. Note the rule used to join them is that they must touch along the full edge of a square and not just at the corners. It can be seen that an area of 59 (grey) squares is enclosed within the field. It is also obvious that the pentominoes have not been used very efficiently. 7. Find a pentomino field enclosing the greatest possible area (= number of squares). (The squares of the 'background' must be the same size as those which make the pentominoes.) You can grade your attempts by reference to this table AREA     GRADE under 70 not trying! 71 - 80 E 81 - 90 D 91 - 100 C 101 - 110 B 111 - 120 A over 120 Super! There are two variations on this puzzle - 1. That the outside edge of the enclosure must be a rectangle (having straight edges). 2. That the inside edge of the enclosure must be a rectangle (having straight edges).       The grading table given above does NOT hold for these variations. Go to Previous Pentomino Problems Next Pentomino Problems Puzzles Index Page Cleave Books Home Page