Transport

Forward Life

B34/S2678

Birth rule

Survival rule

Birth: 3, 4. Survival: 2, 6, 7, 8. Life governs a cell only while it is moving forward.

Self-history transfer

4 bits · seeded

History and trigger width

Trigger assignment

Trigger seed

Editable fixed trigger · oldest → newest

Each cell has its own seeded 4-bit trigger. Seed: 2181425135. When a cell's own history newly matches its own trigger, that history is copied to its counterpart and replayed there newest-to-oldest for exactly 4 Steps.

016GOL

Countertime

Every cell watches its own rolling binary history: when that history matches its own trigger, it crosses to a permanent distant counterpart and plays there backward.

Explore the collection Rules & reproducibility

Current composition

01A seeded random perfect matching gives every position exactly one distant counterpart; no cell pairs with itself.
02Every cell compares its last 4 committed occupancies with its own trigger.
03When a cell's own signal newly equals its own private seeded trigger, it copies that complete signal to its permanent counterpart.
04The receiver ignores B34/S2678 and emits those 4 transferred states newest-to-oldest. Both partners may receive one another's histories simultaneously.
05Transferred replay outputs enter the receiver's own rolling signal, so one received history can make that cell transfer its new history back. A held self-match must break before it can signal again.

Rule: B34/S2678 · 4-bit self-history transfer
Field: 160 × 160 · toroidal · 12800 couples
Trigger layer: Private seeded patterns · seed 2181425135

Selected couple

Selected: (80, 80) · Dead · Forward
Counterpart: (114, 14) · Dead · Forward
Neighbors: 1 / 8
Selected signal: ···0 · compared with own trigger
Selected trigger: 1110 · own history ···0 · No self-match
Counterpart trigger: 0010 · own history ···0 · No self-match
Transferred replay: Empty · next transfer would receive ···0
Incoming transfer: Waiting for counterpart self-match
Ordinary proposal: Dead · active
Last event: Forward persistence
Next result: Dead · forward · the opening transfer history is still being built under Life

Experiment index016 / 100

Game of Life: Countertime

Paused · building 4-bit histories

160 × 160 · generation 0

Color view shows opening history construction in cyan, forward life lime, transferred reverse replay violet, forward births cream, and newly received living transfers gold. Dead states remain background. Inspect pair draws a violet line to the selected cell's only counterpart and outlines local neighbors. Written evidence gives both rolling histories, both triggers, both self-matches, the incoming counterpart history, the active transferred replay, and the next result. Arrow keys move the cursor; Enter paints and restarts temporal histories when inspection is off; P plays or pauses; S advances one generation.

Forward lifeTransferred replayHistory warmupForward birthHistory received

Every cell is building the complete 4-bit history it may later transfer.