n=16 R=60.0: 1885 reachable points (13814 nodes); types: A0:832, A1:225, A2:103, A3:63, A4:45, A5:41, A6:33, A7:33, A8:33, A9:41, A10:45, A11:63, A12:103, A13:225   [1.9s]
Lemma 1: K(gamma_B) == type of Def. 2.1 (mod n-2) for 1885 points: failures 0 (non-integer K: 0)   [5.3s]
Descent (Lemma 4b) + invariance of the type under tau_k, mu, rho (Thm 1a): 1885 points, 7414 twist steps (max 30 per point; 3292 landed in the neighbouring corner), every step: shorter, reachable, same type; end = diagonal X_0X_(k+1) with k = type: failures 0   [6.9s]
Conj 2.6: 10289 instances (point, l, eps) with both points inside the disc: failures 0; Conj 2.7 (exact length ratio) on the same pairs: failures 0; 14232 instances with the parallel point outside the disc
Conj 2.6/2.7 by exact ray tracing for all points with |B| <= 30.0: 6061 instances, no short trajectory in the predicted direction within 12|B|+5: 0, type failures 0, length-ratio failures 0   [17.4s]
pairs (u,v), |u|,|v| <= 30.0, det(u,v) = sin(2pi/n) exactly: 339   [17.5s]
   (type u, type v) distribution: {(0, 0): 119, (0, 13): 110, (1, 0): 110}; pairs outside the three classes of Step A: 0
Conj 2.3: reachable n-gons found: 119; with vertex types != (A0,A1,...,A(n-3),A0): 0
   Corollary 3.1 (pair of type (A0,A0) <=> spans a reachable n-gon): failures 0; Theorem 3 (v_1,v_2,v_(n-2),v_(n-1) reachable => reachable n-gon): failures 0; vertices outside the disc decided by exact ray tracing: 3898   [58.8s]
exact fallbacks 43082, mp calls 0
