 Hyperbolic distance in the Poincare disc

ID: hyperbolic-distance-in-the-poincare-disc

Codex  0 Created 2026-09-29 Updated 2026-10-14

For

z_{1}, z_{2}

ρ = \frac{z _{2} - z _{1}}{1 - z _{1} z _{2}} .

d (z_{1}, z_{2}) = 2 artanh ρ = lo g \frac{1 + ρ}{1 - ρ} .

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