Two holes problem
Searching our archive for inspiration for a new problem, we noticed the following problem from the Journal of Recreational Mathematics - 1987, by Stan Vejmola from Prague.
Use a set of pentominoes to create a fence enclosing two areas, such that the sum of the enclosed areas is maximal.
The non-overlapping pentominoes have to lie on the grid and in the same plane, and touch each other with at least one side.
Sergio Stanzani made the following solutions:
With two congruent areas
With three congruent areas
Aad van de Wetering improved one record. Congratulations
For our contest 49 we state the same problem with the same conditions except the set of pentominoes, which is the set of one-sided pentominoes: