There are various algorithms for finding approximate optima to messy fitness landscapes. Genetic algorithm would be one approach. You map the printable shape s

There are various algorithms for finding approximate optima to messy fitness landscapes. Genetic algorithm would be one approach. You map the printable shape space onto a bit vector and define a fitness function (optimization objective function) to guide the search. Hardest part is coming up with a fitness function that gives you what you want, this gets tricky when you are trying to balance multiple constraints.