Fourier moons.
A moon orbiting a moon orbiting a moon orbiting a moon orbiting a moon orbiting a moon orbiting a moon orbiting a moon orbiting a moon orbiting a moon. This is not physically accurate (incorrect orbital speeds), but it demonstrates the fact that drawing many of these circles can make any shape you want. These are technically synced (this uses days since 2000), and no configuration will appear twice (e is irrational and exp is used)
