Polygons are, in this question, defined as non-unique if they similar to another (by rotation, reflection, translation, or scaling).
Would this answer be any different if similar but non-identical polygons were allowed? And if only if rotated/translated by rational coefficients?
Would this answer be any different if we constrained the length and internal angles of all polygons to rational numbers?
Assume the number of sides is finite but unbounded, and greater than two.