A while ago I posted this problem.
I wonder if there is a generalisation for such areas, with conditions such as
a) n, (n+k)-sided regular polygons
b) u, v-sided regular polygons
c) >2 regular polygons
The only trivial fact that I realize now is:
for two u, v-sided polygons and WLOG \(v>u\)
the v-sided polygon will cover \(\gcd\left(u, v\right)\) vertices of the u-sided polygon.
If v is a multiple of u then the u-sided polygon need not be considered.
But this is a very, very specific case :(