A Taxonomy of Forms: Experimental Establishment of Fifteen Discrete Attractor Morphologies (EN)

A discrete taxonomy of steady-state boundary-motion morphologies: 74 input dynamics in a prototype computational system converge to fifteen discrete form types (four-parameter fingerprint: drift/rotation ratio angle alpha, curvature kappa, curvature-change-rate tau, extreme-amplitude ratio axial; disk 5 / helical 7 / jet 3). Core results: bitwise reproducibility (max deviation 0 across platforms, 87 days apart); four-fold multiple-saturation evidence of completeness (510 single-channel expansion + 600 dual-channel frequency combinations + protocol exhaustiveness + energy-attenuation migration — no sixteenth form exists within the current implementation domain); confirmation of a basal form (the equi-helix: endpoint of energy withdrawal, largest basin, encircling the null-point structure). Axiomatic companion: The Geometry of Boundless Motion (10.5281/zenodo.22785851). All scripts and data open.