Explore the hidden universe of p-adic numbers through 21 interactive demonstrations.
See also: Number Theory for the arithmetic that motivates studying p-adic completions, Rings & Fields for Hensel's lemma and finite extensions of Q_p, and Real Analysis for the alternative metric completion of the rationals.
p-adic expansions, the famous ...1111 = -1 result, and fractal tree visualization of Z_p
p-adic valuations, distance comparison heatmaps, and the ultrametric inequality
Every point is the center, nested balls, and the p-adic Cantor set fractal
Addition with leftward carries, multiplication, and computing inverses digit by digit
Series that diverge in R but converge p-adically, partial sum races, and convergence radii
Newton's method in Q_p, square roots, and building solutions digit by digit
Ostrowski's theorem, p-adic fractal dynamics, and the local-global principle