Transport

Standard Life

B3/S2

Birth rule

Survival rule

Birth: 3. Survival: 2.

Reincarnation gate

Minimum neighbor count

Living neighbors required after the timer matures

A matured dead position needs at least 1 living neighbor. The count comes from the frozen current field.

History reset

Exact neighbor counts

Living-neighbor counts that erase death history

A position with exactly 8 living neighbors resets its death count and timer to zero after this Step's occupancy result is decided. An empty row disables automatic history reset.

Lengthening interval

Fixed invariant

The n-th death waits n complete turns. Ordinary B3/S2 birth remains independent and may return a position before its personal reincarnation timer matures. A cell cannot die and reincarnate in the same Step; a matching history reset has final precedence over the next death count.

011GOL

Half-Life

Standard Life runs beneath a second birth pathway: every death lengthens a cell's personal wait before local living neighbors can call it back, while exact local crowding can erase that accumulated history.

Explore the collection Rules & reproducibility

Current composition

01Every position first evaluates ordinary B3/S2 from the frozen current field.
02An alive-to-dead transition increments that position's persistent death count. Its n-th death starts an n-turn wait.
03Once the wait matures, at least 1 living neighbor adds a second path to life. Ordinary birth remains independent.
04A frozen count of 8 living neighbors erases the position's death count and timer after occupancy is decided.
05All occupancy, timers, counters, and Ordinary/Reincarnation/Both/reset evidence commit synchronously without random or scan-order priority.

Update: Synchronous Life + reincarnation + exact-count history reset
Field: 160 × 160 · toroidal

Selected cell

Position: (80, 80) · Dead
Neighbors: 0 / 8 · gate not met
History reset: Does not match
Death count: 0
Timer: No prior death · no reincarnation timer
Ordinary Life: Dead
Reincarnation: Unavailable · no prior death
Next result: No transition · dead
Next death count: 0

Experiment index011 / 100

Game of Life: Half-Life

Paused · Lengthening returns

160 × 160 · generation 0

Color view shows fresh life lime, experienced life in cyan-to-violet logarithmic death-count bands, waiting dead history as darker bands, ready dead cells amber, new deaths coral, reincarnations pale, and positions whose histories reset mint. Inspect cell outlines its eight current Moore inputs. Arrow keys move the cursor; Enter paints a fresh cell or erases its local history when inspection is off; P plays or pauses; S advances one generation.

Fresh lifeExperienced life / waiting historyTimer readyNew deathReincarnated nowHistory reset now

Watch rapid early returns stretch into a field of longer, uneven recurrence histories.