English: A (non-isometric) depiction of the 4-adic integers, ${\displaystyle [\dots d_2{d}_1{d}_0]\mapsto e^{2\pi i[d_0]/4}+c{e}^{2\pi i[d_1{d}_0]/4^2}+c^2{e}^{2\pi i[d_2{d}_1{d}_0]/4^3}+\cdots }$

where c is a small scale factor. The integers ${\displaystyle -1=\cdots 333}$ through ${\displaystyle 6=12}$ are labeled, as are 33 and 333.

For details on this map, see Chistyakov, D. V. (1996), “Fractal geometry for images of continuous embeddings of p-adic numbers and solenoids into Euclidean spaces”, in Theoretical and Mathematical Physics, volume 109, issue 3, DOI:10.1007/BF02073866, pages 1495–1507

. The particular mapping used is ${\displaystyle {\mathrm{{\rm Y}}}_s^{(\mathrm{\infty })}}$, defined in Definition 3; analogues for ${\displaystyle p=2,3,6}$ are displayed in Figure 1.