LFIS–02: Cadence Triangle & Cadence Star Geometry — Derivational Form

LFIS–02 derives the local geometric backbone of Light Frame Cadence Geometry: the Cadence Triangle and Cadence Star. The volume constructs the two-mode balanced-contract geometry from cadence slope structure, finite representational capacity, orthogonal TS/TD curvature modes, and stable curvature propagation between Light Frames. The Cadence Triangle describes the local TS–TD working plane, while the Cadence Star encodes the six-ray curvature structure used throughout the LFIS sequence. This version also includes the structural-unit identity r = c = π in LFCT structural units and the angular-support route to the three-mode count, while deferring full three-mode topology and uniqueness to LFIS–24. LFIS–02 supplies the geometric scaffold used by LFIS–01’s motion law, LFIS–03’s Cadence Ledger, LFIS–04’s frame-matching condition, and the later representability, boundary, and cosmological volumes.