Banach-Tarski —
splitting a sphere
into pieces,
reassembling into two
identical spheres.
Why math survives this.

Explain the Banach-Tarski Paradox and Why It Doesn't Break Math

Splitting one sphere into two identical ones, mathematically true, physically impossible.

Prompt

Explain the Banach-Tarski paradox — that a sphere can theoretically be split into pieces and reassembled into two spheres identical to the original — and why this doesn't actually break math, just our physical intuition.