n=14 R=60.0: 1853 reachable points (14674 nodes); types: A0:840, A1:217, A2:107, A3:69, A4:49, A5:43, A6:43, A7:43, A8:49, A9:69, A10:107, A11:217   [1.4s]
Lemma 1: K(gamma_B) == type of Def. 2.1 (mod n-2) for 1853 points: failures 0 (non-integer K: 0)   [3.8s]
Descent (Lemma 4b) + invariance of the type under tau_k, mu, rho (Thm 1a): 1853 points, 7552 twist steps (max 30 per point; 3357 landed in the neighbouring corner), every step: shorter, reachable, same type; end = diagonal X_0X_(k+1) with k = type: failures 0   [5.2s]
Conj 2.6: 9189 instances (point, l, eps) with both points inside the disc: failures 0; Conj 2.7 (exact length ratio) on the same pairs: failures 0; 11208 instances with the parallel point outside the disc
Conj 2.6/2.7 by exact ray tracing for all points with |B| <= 30.0: 5195 instances, no short trajectory in the predicted direction within 12|B|+5: 0, type failures 0, length-ratio failures 0   [11.3s]
pairs (u,v), |u|,|v| <= 30.0, det(u,v) = sin(2pi/n) exactly: 335   [11.3s]
   (type u, type v) distribution: {(0, 0): 117, (0, 11): 109, (1, 0): 109}; pairs outside the three classes of Step A: 0
Conj 2.3: reachable n-gons found: 117; 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: 3152   [30.9s]
exact fallbacks 35326, mp calls 0
