The 2-adic integers (black points), with the numbers 1, 2, 4, 8, 16, and 0 labeled.

The 2-adic integers are laid out in a (non-isometric) topological embedding of Z₂ into the complex plane:

${\displaystyle [\ldots d_{2}d_{1}d_{0}]\mapsto e^{2\pi i[d_{0}]/2}+ce^{2\pi i[d_{1}d_{0}]/2^{2}}+c^{2}e^{2\pi i[d_{2}d_{1}d_{0}]/2^{3}}+\cdots }$

${\displaystyle \Upsilon _{s}^{(\infty )}}$