  We create plots of algebraic integers in the complex plane, exploring the
effect of sizing the integers according to various arithmetic invariants. We
focus on Galois theoretic invariants, in particular creating plots which
emphasize algebraic integers whose Galois group is not the full symmetric
group--these integers we call rigid. We then give some analysis of the
resulting images, suggesting avenues for future research about the geometry of
so-called rigid algebraic integers.
