H.T.A.M.

The default surface is a representation lab: one observed series explored through four explicit representations — the raw trace, a delay-coordinate state fold, a phase wrap at a proposed period, and a recurrence plot. Every view is labeled exploration, not evidence. A surrogate toggle renders the same geometry from a generating-process-aware null draw, never silently overlaid, and every tried dataset, representation, and parameter is retained in a client-side attempt ledger as an uncorrected search family.

The problem: visual structure is cheap — folds and wraps make almost anything look periodic. Keeping the representation choice, the surrogate comparison, and the search history explicit separates a pattern worth a formal test from an artifact of looking.

The original instrument — closed-form candidate curves from a minimal elementary-function grammar, scored deterministically against 51 real datasets — remains as an open shape library, its 24-task rediscovery benchmark re-verified nightly at 24 of 24. Research build, demo behind an access code.