◉ Connectedness AtlasLocal explorer

Parameter space → cylinder geometry

Explore below the surface

Independent complex multipliers · DD / DO / OO

Local parameter section

Re δ →
Im δ →
Verified exterior cellsAnalytic connected coreUnresolvedNoncontractive

Preparing parameter cells…

Scroll to zoom · drag to pan · click a parameter. Every unresolved region stays eligible for refinement.

Two first-level pieces

f₋(K)f₊(K)Disks enclose the remaining tails

Preparing cylinder geometry…

Selected parameter

Radial survey at the source locator

Open from an atlas locator to retain its nearby radial survey.

Exact coordinates & section width

Decimal, scientific notation and rational fractions are preserved exactly. Atlas inputs begin at the precision of the original survey.

A surviving finite contact search is unresolved. Exterior cells use outward BigInt arithmetic; green uses |λ₋|² + |λ₊|² ≥ 1 within the strict contraction domain. This view does not certify an entire boundary or a topological handle.