Identity exploration · game of life

unimodular.

discrete rule
shape preserved
B3/S23

Conway's rule, read as conservation: a still life is a fixed point, an oscillator conserves its period, and a glider reprints its exact shape one step over — a discrete transformation that moves without deforming. The mark is phase 1 of a live glider, obeying B3/S23.

01 · Life emblems

still life · oscillator · spaceship
E1 · gliderphase 1 · shape-preserving
E2 · blockstill life · fixed point
E3 · blinkeroscillator · period 2
E4 · pulsaroscillator · period 3
E5 · spaceshipLWSS · translates
E6 · liverunning · glider loop

02 · Glider evolution

shape-preserving translation
t0
t1 ◂
t2
t3
t4
four generations · the glider returns to its exact shape, translated by (1, 1) — a unit unimodular step on the lattice. t1 is the chosen mark.

03 · One glider, sixteen faces

4 phases · 4 headings
Period — the 4 phases it cycles through
φ0
φ1
φ2
φ3
Heading — phase 1 aimed down each diagonal
SE
SW
NW
NE
one glider = 4 phases × 4 diagonal headings = 16 oriented images, all rotations/reflections of the same five cells. The chosen mark is φ1, heading SE.

04 · Lockups

glider mark + wordmark
unimodular
L1 · horizontalprimary
unimodular
L2 · inversenight surface
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