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Numbers.
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Eight of 296 · Terrarium
ΙΗΣΟΥΣ, ΧΡΙΣΤΟΣ, and their sum are 3, 5, and 8 times 296. A ring of 296 whose only taps are those distances.
EXPLOREWhat if 3n+1 did not carry? · Carry garden
What if 3n+1 did not carry? XOR of n, n shifted left, and 1 sends 7 to 8, not 22. The yellow cells are exactly that disagreement.
EXPLOREWhich low bits predict a long fall? · Carry garden
Which low-bit patterns predict a long Collatz halving run? On odd n below 4096, residue 1 mod 8 is exactly two; residue 5 keeps the long ones.
START HERECarry garden · Terrarium
A Collatz board with visible carries: 7 becomes 22 by adding n, n shifted left, and 1. One instrument, several experiments.