n=24 R=40.0: 787 reachable points (3868 nodes); types: A0:348, A1:89, 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, A17:13, A18:15, A19:21, A20:43, A21:89   [0.9s]
Lemma 1: K(gamma_B) == type of Def. 2.1 (mod n-2) for 787 points: failures 0 (non-integer K: 0)   [2.4s]
Descent (Lemma 4b) + invariance of the type under tau_k, mu, rho (Thm 1a): 787 points, 2330 twist steps (max 19 per point; 992 landed in the neighbouring corner), every step: shorter, reachable, same type; end = diagonal X_0X_(k+1) with k = type: failures 0   [3.2s]
Conj 2.6: 5391 instances (point, l, eps) with both points inside the disc: failures 0; Conj 2.7 (exact length ratio) on the same pairs: failures 0; 11160 instances with the parallel point outside the disc
Conj 2.6/2.7 by exact ray tracing for all points with |B| <= 20.0: 4119 instances, no short trajectory in the predicted direction within 12|B|+5: 0, type failures 0, length-ratio failures 0   [10.3s]
pairs (u,v), |u|,|v| <= 20.0, det(u,v) = sin(2pi/n) exactly: 131   [11.1s]
   (type u, type v) distribution: {(0, 0): 45, (0, 21): 43, (1, 0): 43}; 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: 2546   [65.6s]
exact fallbacks 23177, mp calls 0
