In 1D you can't have a single shape tile aperiodically, since there is no room for variation. You could make a 2D diagram of the integers with they prime facto

In 1D you can't have a single shape tile aperiodically, since there is no room for variation. You could make a 2D diagram of the integers with they prime factorizations, which is aperiodic, but nearly periodic, but requires an infinite set of different "tiles". Perhaps you could take an irrational or transcendebtal number, and take its multiples or powers mod 1, to get an aperiodic nearly periodic sequence.