n=7 R=150.0: 12029 reachable points (376681 nodes); types: A0:5981, A1:1844, A2:1180, A3:1180, A4:1844   [11.0s]
Lemma 1: K(gamma_B) == type of Def. 2.1 (mod n-2) for 12029 points: failures 0 (non-integer K: 0)   [29.5s]
Descent (Lemma 4b) + invariance of the type under tau_k, mu, rho (Thm 1a): 12029 points, 93883 twist steps (max 82 per point; 43952 landed in the neighbouring corner), every step: shorter, reachable, same type; end = diagonal X_0X_(k+1) with k = type: failures 0   [35.4s]
Conj 2.6: 67217 instances (point, l, eps) with both points inside the disc: failures 0; Conj 2.7 (exact length ratio) on the same pairs: failures 0; 41056 instances with the parallel point outside the disc
Conj 2.6/2.7 by exact ray tracing for all points with |B| <= 60.0: 17391 instances, no short trajectory in the predicted direction within 12|B|+5: 0, type failures 0, length-ratio failures 0   [52.1s]
pairs (u,v), |u|,|v| <= 80.0, det(u,v) = sin(2pi/n) exactly: 3109   [52.2s]
   (type u, type v) distribution: {(0, 0): 1039, (0, 4): 1035, (1, 0): 1035}; pairs outside the three classes of Step A: 0
Conj 2.3: reachable n-gons found: 1039; 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: 6832   [75.5s]
exact fallbacks 232763, mp calls 0
