n=4 R=30.0: 427 reachable points, 5942 nodes, max #reflections 42, exact fallbacks 722, mp calls 0, 0.1s
   types: A0:282 A1:145
   alpha in [0,omega], beta in [2pi/n,pi] violated: 0
   Def 2.1 rows as printed (with parity rule) give exactly the exact-formula type: failures 0
   points where a row of the 'wrong' sign also holds: 3; of these with a DIFFERENT type from that row: 1
      these ambiguous points have N in [1] (N=1: the diagonals X_0X_{k+1}, 1<=k<=n-3: expected 1)
   X_0X_(k+1) has type A_k for 0<=k<=n-2: True
   remark 'A_0 <=> beta-alpha=2pi/n' fails for 0 non-diagonal points (for the 1 proper diagonals the remark is not literally true)
   remark 'middle type A_(m-1) <=> beta+alpha=pi' fails for 0 points
   (k mod 2, end label mod 2) histogram: {(0, 1): 282, (1, 0): 145}  [Prop. 2.2: k even <=> one class]
   n=4 source description: point sets equal: True (427 vs 427); type mismatches: 0
