Marked stable contact families
Fifteen address families link an exact contact to a local stable subset of its algebraic carrier. The plates show the two first-level pieces, a magnified contact and the real and imaginary carrier cuts through the equal-contraction 3D section. Select a family, then follow its representative into the linked slice or the 4D explorer.
Bernat Espigulé · Research companion in preparation, 1 October 2026 records. Fifteen local stability certificates; fourteen separate ambient-boundary certificates. Manuscript announcement and citation.
What remains stable
On the carrier inside the certified open box, the complete marked coding relation is constant: all identifications of infinite addresses are accounted for. The corresponding attractors are label-preservingly topologically conjugate and are dendrites. Persistence of one contact equation alone would not imply this conclusion.
The box half-width and certificate record are specific to each family. U retains its larger reference box; S uses its periodic return certificate. For L0226, ambient-boundary membership is not established by this collection.
How to read the cuts
The surfaces Re P = 0 and Im P = 0 cut the numerical 3D volume separately. Their common trace is the equal-contraction contact curve. The gold trace outside the certified box is a numerical continuation; each component surface alone is not a contact family.
The plates use complete depth-20 prefix specimens with 1,048,576 addresses per first-level piece. The browser cutaway opens the representative in the quarter-turn slice; these family-specific carrier plates are fixed views. Compare the historical mirror contact families.