n=25 R=40.0: 791 reachable points (3843 nodes); types: A0:343, A1:90, A2:43, A3:21, A4:15, A5:13, A6:7, A7:7, A8:7, A9:7, A10:7, A11:7, A12:7, A13:7, A14:7, A15:7, A16:7, A17:7, A18:13, A19:15, A20:21, A21:43, A22:90   [1.4s]
Lemma 1: K(gamma_B) == type of Def. 2.1 (mod n-2) for 791 points: failures 0 (non-integer K: 0)   [3.6s]
Descent (Lemma 4b) + invariance of the type under tau_k, mu, rho (Thm 1a): 791 points, 2319 twist steps (max 19 per point; 989 landed in the neighbouring corner), every step: shorter, reachable, same type; end = diagonal X_0X_(k+1) with k = type: failures 0   [4.9s]
Conj 2.6: 11523 instances (point, l, eps) with both points inside the disc: failures 0; Conj 2.7 (exact length ratio) on the same pairs: failures 0; 24120 instances with the parallel point outside the disc
Conj 2.6/2.7 by exact ray tracing for all points with |B| <= 20.0: 8553 instances, no short trajectory in the predicted direction within 12|B|+5: 0, type failures 0, length-ratio failures 0   [28.5s]
pairs (u,v), |u|,|v| <= 20.0, det(u,v) = sin(2pi/n) exactly: 127   [28.6s]
   (type u, type v) distribution: {(0, 0): 45, (0, 22): 41, (1, 0): 41}; pairs outside the three classes of Step A: 0
Conj 2.3: reachable n-gons found: 45; 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: 2588   [125.8s]
exact fallbacks 34134, mp calls 0
