Diagram that maps the nested universe of numbers; from counting 0, 1, 2… all the way to complex numbers; showing precise relationships and examples at each level.
Natural numbers N (0, 1, 2, 3) ⊂ Integers Z (…, −2, −1, 0, 1, …) ⊂ Rationals Q (½, −2/3, …) ⊂ Real algebraic numbers A_R (√2, −√3, …) ⊂ Reals R (π, e, …), with transcendentals outside algebraics. Extending upward: pure imaginaries and algebraic complexes A, culminating in full complex numbers C (a + bi).
The structure accurately reflects set inclusions and classifications used in mathematics.