Rectangles Constructed with All Onesided Pentaboloes
The 56 onesided pentaboloes cover an area of 56*5/2=140 s-square units or 70
h-square units. Possible rectangles are 14s x 10s, 20s x 7s, 28s x 5s, 35s x 4s,
10h x 7h and 14h x 5h. The onesided pentaboloes can cover only 2*39+3=81 edge squares
of a rectangle. For the count compare the double sided pentaboloes.
Therefore an 2s x 70s rectangle with 140 edge squares is impossible to construct
and the solution for the 35s x 4s rectangle with 74 edge squares is hard to find.