n=13 R=60.0: 1843 reachable points (15193 nodes); types: A0:843, A1:222, A2:106, A3:74, A4:52, A5:46, A6:46, A7:52, A8:74, A9:106, A10:222   [1.4s]
Lemma 1: K(gamma_B) == type of Def. 2.1 (mod n-2) for 1843 points: failures 0 (non-integer K: 0)   [3.8s]
Descent (Lemma 4b) + invariance of the type under tau_k, mu, rho (Thm 1a): 1843 points, 7633 twist steps (max 30 per point; 3396 landed in the neighbouring corner), every step: shorter, reachable, same type; end = diagonal X_0X_(k+1) with k = type: failures 0   [5.3s]
Conj 2.6: 17391 instances (point, l, eps) with both points inside the disc: failures 0; Conj 2.7 (exact length ratio) on the same pairs: failures 0; 21336 instances with the parallel point outside the disc
Conj 2.6/2.7 by exact ray tracing for all points with |B| <= 30.0: 9915 instances, no short trajectory in the predicted direction within 12|B|+5: 0, type failures 0, length-ratio failures 0   [17.1s]
pairs (u,v), |u|,|v| <= 30.0, det(u,v) = sin(2pi/n) exactly: 337   [17.2s]
   (type u, type v) distribution: {(0, 0): 115, (0, 10): 111, (1, 0): 111}; pairs outside the three classes of Step A: 0
Conj 2.3: reachable n-gons found: 115; 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: 2824   [34.4s]
exact fallbacks 51811, mp calls 0
