No one was holding their breath for a program that finds n-bit binary squares that are palindromatic, but this kind of mucking about can be useful as exercise a

No one was holding their breath for a program that finds n-bit binary squares that are palindromatic, but this kind of mucking about can be useful as exercise and as a source of new insights, both of which will aid the programmer in achieving more ambitious goals. The musician doesn't noodle around randomly or repeat uninteresting exercises with the ambition that that in itself is going to constitute a meaningful and memorable work.