The Emergence Suite

96 living systems, each grown live in the browser from a simple seeded rule — flocks, fronts, grains, orbits, markets. Nothing is drawn; everything emerges. Ink on paper, printable at any moment.

Each print below is a moment from the piece it opens. Every piece: one seed, one interaction, one claim.

about this collection · listen

whatThe Emergence Suite is a collection of living systems, each grown in the browser from a simple seeded rule: flocks, crystals, colonies, crowds, markets. Nothing is drawn. Everything you see emerges while you watch, in ink on paper, printable at any moment.

whyEmergence is the idea that simple local rules, followed by many parts with no plan and no leader, produce order nobody wrote down: a snowflake's arms, a flock's turn, a city's borders. Each piece here makes one such claim and then has to show it on screen, so you can check it with your own eyes.

howEvery piece is one self-contained page. One integer seeds every random decision, so a seed always regrows the same way and a new seed grows something new. Each has one interaction to disturb it, a small instrument that measures its claim, a dark scheme, a still version for reduced motion, and a print-this-moment link that turns the current frame into a letter-size drawing. Open any piece and press about to hear what it is and how it works.

listen

phase 1 — agents on fields

fireflies, a printed moment
01
fireflies
random twinkling locks into unison; sparkline rises past 0.95
ants, a printed moment
02
ants
trail converges to the SHORTER of two routes; drag-painted walls reroute live
fish-school, a printed moment
03
fish-school
flash expansion on strike; hollow ball round a slow predator
locusts, a printed moment
04
locusts
seeding density past a critical point snaps milling chaos into one marching band, with an order-parameter readout
slime-mold, a printed moment
05
slime-mold
a transport network forms between food nodes and prunes its redundant links; erasing a region reroutes

phase 2 — growth and fracture

frost, a printed moment
06
frost
recognizable dendritic six-fold arms, different per seed; click melts locally, regrows differently
mycelium, a printed moment
07
mycelium
lung-like even coverage; two colonies meeting form a boundary seam
lightning, a printed moment
08
lightning
exploratory branching then the flash; repeat forever
mud-cracks, a printed moment
09
mud-cracks
sequential cracking with T-junctions forming closed polygons; thickness sets polygon scale; click re-wets and it re-cracks differently
sandpile, a printed moment
10
sandpile
long quiet punctuated by avalanches at every scale, with a live heavy-tail histogram

phase 3 — terrain and flow

dunes, a printed moment
11
dunes
ripples self-organize, merge into dunes, and MIGRATE downwind; click sets a new wind direction and the field reorganizes
delta, a printed moment
12
delta
UNPARKED via DeltaRCM-mini rebuild: self-avoiding parcel walks + seaward drift (reverse-ban alone left orbit loops: qmax 112k -> 50k -> 343 sane); deposition-led growth with weak CAPPED erosion (the parked build let erosion heal the channel: 0 avulsions measured) -> mouth bars, bifurcations, avulsions: settle 10 mouths/4 avulsions, 90s live rolls to era 2, seed8 8 mouths/5 avulsions; crevasse click captures flow; render-only smoothed contour (raw bed = single-cell lace); busy 11.2ms desk / 7.7 mobile; svg deterministic; print 51KB
erosion, a printed moment
13
erosion
smooth noise sharpens into dendritic drainage -- valleys, ridgelines, tributaries; click is a cloudburst
ink, a printed moment
14
ink
a dropped blob curls laminar, grows Kelvin-Helmholtz frills, dissipates; contours only, never smoke
traffic, a printed moment
15
traffic
one braked car births a jam wave that travels BACKWARD while every car moves forward; the space-time diagram is the artwork

phase 4 — ensembles, quanta, society

pendulums, a printed moment
16
pendulums
one coherent stroke fans into a butterfly at the Lyapunov horizon; the clock marks width >10 deg; click restarts with a chosen perturbation
double-slit, a printed moment
17
double-slit
sinc^2*cos^2 rejection sampling; fringe-cosine visibility: settle 4200ph vis 0.98, blind detector-on 0.03; look: fringes 0.94 -> two bands stack on fringed era -> recovery; measured-path flash; dark+mobile ok (busy 0.5ms); svg deterministic seed7x2/seed8; print 3 paths
schelling, a printed moment
18
schelling
T=.35 default; blind like .50->.78 unhappy 0 by ~7s sim; live tol sweep .12->.644 vs .35->.778 (nonlinearity); stir recovers; stark districts confirmed by look light+dark+375px after contrast v2 (up 1.35 vs down .75@.38) + CSS hud backing; busy 2.3ms 6.7k agents; svg deterministic; print 303KB
crowds, a printed moment
19
crowds
Helbing social force + fluctuation term (without it the symmetric door DEADLOCKS: flow 0 by t60, measured); lanes .73 live / .83 settle; double-arch at the door + alternating bursts by look light+dark+375px; faster-is-slower over 120s on two seeds: 187->107 and 148->72 crossings (brief gain then clog; caption says so); busy .7ms @126 walkers; svg deterministic; print 31KB
cosmic-web, a printed moment
20
cosmic-web
PM N-body: CIC deposit + radix-2 FFT Poisson (G=128) + Zel'dovich GRF displacement band k=3-21 (three discrete-mode inits each collapsed into ONE blob - the GRF is load-bearing); chapters: form ~9s at 0.55x playback, hold the peak web 9s, then a fresh sky (unbounded 2D clustering merges every thread - measured); collapsed .74 forming / .93 held, voids .90; look: ~25-cluster web with filament bridges, light+dark+375px; busy ~11ms desktop / 4.6ms mobile; svg deterministic; print 205KB; click plants a knot; G=96 mobile broke the FFT (not 2^n) -> empty sky, caught by looking

phase 5 — swarms & searches

bee-quorum, a printed moment
21
bee-quorum
the swarm picks the BEST site though no bee visits two (dance ∝ quality, stop-signal cross-inhibition, liftoff at quorum)
sheepdog, a printed moment
22
sheepdog
one agent with two rules (drive the furthest stray in, push the flock to the pen) pens a hundred
penguin-huddle, a printed moment
23
penguin-huddle
the huddle self-rotates — a travelling wave cycles every bird through the warm core (heat loss ∝ perimeter + wind chill; coldest relocate leeward)
bat-stream, a printed moment
24
bat-stream
a smooth laminar ribbon through the bottleneck, near-zero collisions at absurd density (avoidance + goal + speed preference)
run-and-tumble, a printed moment
25
run-and-tumble
the cloud climbs the gradient with NO steering — tumble rate lowered when concentration improves (one-bit memory)
levy-forage, a printed moment
26
levy-forage
Lévy steps beat Brownian when food is patchy, tie when dense — live score
keller-segel, a printed moment
27
keller-segel
a uniform field collapses into evenly spaced mounds (streaming, then aggregation) from secreted attractant + gradient climbing
vicsek, a printed moment
28
vicsek
sweeping noise η crosses a real phase transition — disorder → travelling BANDS → global order, with an order-parameter sparkline
territories, a printed moment
29
territories
space tessellates into stable Voronoi-like territories with contested drifting borders (decaying scent, turn away from foreign scent)
bacteria-colonies, a printed moment
30
bacteria-colonies
one nutrient knob morphs the colony from smooth disc to branching coral (Eden edge growth gated by a diffusing nutrient)

phase 6 — pulses & patterns

metronomes, a printed moment
31
metronomes
Pantaleone tabletop with dissipative pivot-friction coupling: sync to r 1.000 from random hand-set starts across 6/6 seeds (tSync 3-8 s), STABLE at 240 s; full cycle measured -- sync r 1 -> plank locked drift r 0.36-0.43 -> freed re-sync r 1; the coupling SIGN was determined by experiment (+0.8: 4/4 sync, -0.8: 4/4 permanent splay); plank sway 107 cm at full chorus; deterministic; 0.003 ms/step
clapping, a printed moment
32
clapping
Neda applause cycle: 11 unison spells in 5 min (seed 9: 8), every phase sampled -- roar r 0.27 -> building 0.41/65pct-slow -> unison 0.91/97pct-slow -> collapse 0.06-slow; the signature MEASURED: corr(loudness, r) -0.5..-0.73, breathing in opposition; only the slow mode can sync (K 2.6 sits between the two thresholds at spread 0.10); cheer crushes r 0.44 -> 0.09; deterministic; 0.037 ms/step
mexican-wave, a printed moment
33
mexican-wave
Excitable ring with asymmetric attention (0.35 far-side discount): three regimes on one slider -- E 0.25/0.30 dies after 2-6 seats (range measured); E 0.35-0.85 laps forever in ONE direction (fronts 1, speed 20-60 seats/s rising with mood); E 0.95 launches both ways and the counter-waves annihilate head-on at 4.4 s near the antipode (annihilations 1, deaths 0, identical both seeds); collision SEEN live (2 fronts converging -> 0 excited); deterministic; 0.05 ms/step
cardiac, a printed moment
34
cardiac
FHN sheet (150x104, D 0.25, eps 0.08, patchiness 0.75-1.3): vulnerable window MEASURED at S2 delay 1550-1650 (refractory block below, harmless ring above) -> rotor, tips 1-2; rotor rhythm ~2x sinus with interval cv 0.36-0.59 -- the storm, measured; defib -> sinus, sealed AND live; the story performs the S1-S2 protocol live (node rests, tissue clears, one beat, wake-aimed mistimed beat under a compensatory pause); rotor SEEN curling; deterministic; 0.56 ms/step
bz, a printed moment
35
bz
Greenberg-Hastings dish with probabilistic ignition (roundness MEASURED: diag/axis 0.992): annihilation vs a non-interacting control -- together 0.70/0.72 of apart at two spacings, ONE merged front where superposition keeps two; spiral from a broken front sustained past 400 steps (activity 5.3-5.9k forever); target rings + a curling spiral bud SEEN; deterministic; 5.2 ms/step (live cap 2/frame)
gray-scott, a printed moment
36
gray-scott
Pearson dish (160x120, Du 0.2/Dv 0.1): mitosis census 6 -> 24 -> 57 cells with 47 births and 0 deaths (seed 9: 73 cells, 67 births), mid-pinch dumbbells SEEN in four frames; regimes separated by measurement, not labels -- spots 102 cells/roundness 0.62, worms 19/0.20/cover 0.40, labyrinth 6/0.07/0.42; drag-stir heals in-idiom; deterministic; 0.53 ms/step
seashell, a printed moment
37
seashell
Fuel-hysteresis excitable edge (ignite above 0.8, persist above 0.35, burn 0.022/row): 106 triangles per 1400 rows (mean base 37-50) with tents at nucleation and zigzag-lightning ribbons in steady state; thick chevron BANDING at recovery 0.09 (fill 0.5); species morph on two sliders; deterministic; 0.04 ms/row; the print takes the whole visible shell
chladni, a printed moment
38
chladni
Grid-baked square-plate modes, continuously blended: grain |A| ratio 1.02 scattered -> 0.024 settled (98 pct of sand off the antinodes), the figure drawn from any start; the sweep TEARS the figure into interleaved transition curves (SEEN) before the next crystallizes; 9-mode ladder m^2+n^2 <= 34 (higher modes pool at second-order crossings -- physical, but unlovely); fresh sprinkle on every figure change, as demonstrators do; deterministic; 5.8 ms/step at 12k grains
grass-wind, a printed moment
39
grass-wind
The grass is the anemometer: two observer blade columns 0.507 field-widths apart cross-correlate their bending ledgers; lag reads the wind speed. Four seeds read 0.164-0.166 vs true 0.16 (corr 0.75-0.91) - residual is lag quantization (true lag 63.4 samples). Storm 0.25->0.85 lifts mean bend 0.118->0.476; gusts cross as visible coherent waves; cursor gusts register. HUD, still frame, and print all carry read-vs-true
quorum-glow, a printed moment
40
quorum-glow
Stirred-flask quorum (cells read 0.75 flask-mean + 0.25 neighbourhood; the mean IS the census since diffusion conserves it): sharp threshold between n 300 (dark forever, meanA 0.007) and 500; critical slowing MEASURED -- induction 46.6 s at 500 vs 10.2 at 1100 while ignition stays 3-6 s (wait/flash 7.5 at threshold); squirt test: 350 shrugs it off, 420 (dark unseeded) ignites at 32.5 s, 460 hurried 71.7 -> 20.6 s; seed 9 agrees; deterministic; 0.5 ms/step

phase 7 — grains, films & flows

galton, a printed moment
41
galton
Coin flips only: TV vs binomial 0.0594 at 500 balls -> 0.0191 at 6000; sd 1.718 vs sqrt(npq) 1.732; clicked bias 0.68 skew measured exactly (pHat 0.6831, mean 8.197 vs np 8.20, sd 1.624 vs 1.612); per-ball seeded flip streams, frame-rate independent; deterministic; 0.00025 ms/ball
brazil-nut, a printed moment
42
brazil-nut
Support-ratchet lattice bed: nut thrown proportional to floor support, sinks only when under 3/7 floor cells remain; sweet spot MEASURED: t-surface 258/89/81/202 shakes at A 0.12/0.40/0.65/0.85, and the re-mix ledger (time-at-surface after surfacing) collapses 1.00/0.82/0.46/0.32 -- too hard swallows the surfaced nut; seed 9 agrees (tSurf 108 at 0.4); deterministic; 0.7-0.76 ms/shake
silo, a printed moment
43
silo
Lip-nucleated arches + span fragility (per-cell fracture ~ (W-2)^3): jam knee MEASURED at the claimed mouth: jammedAt 152-260 steps at w=3-4, intermediate 547-2010 at w=5, NO jam in 4000 steps at w=6/7/9 (seed 9: w=4 at 155, w=8 never); tap shatters the arch and briefly fluidizes: +161 exits in 120 steps, unjammed; flow trace flatlines on jam, SEEN; deterministic; 0.35 ms/step
soap-films, a printed moment
44
soap-films
Steiner relaxation with self-healing topology (split under-120 corners, merge vanishing films, dissolve degree-2): junction census 120 +- 0.00 deg settled; drag spikes it to 40 deg then re-converges to 0; length 0.967 of the spanning tree (seed 9: 0.954; sqrt(3)/2 floor); big drags can hold a remembered topology above 1 -- kept and DECLARED as metastability; deterministic; 0.009 ms/step
foam, a printed moment
45
foam
von Neumann MEASURED cell by cell: dA per 30-sweep interval proportional to (n-6), buckets monotone through zero at six (n=4: -11.8, 5: -6.1, 6: +0.3/-0.1, 7: +4.7, 8: +13.4, 9: +19.1), slope ~5-6.6 with r 0.99+ (seed 9: 5.23, r 0.996); census 110 -> 74 (halved x0.5) with 36 T2 deaths at 960 sweeps; click-pop verified live (flash ring); deterministic; 2.1 ms/sweep
grain-growth, a printed moment
46
grain-growth
Potts anneal at T 0.45 from a 140-site Voronoi: grains 140 -> 60 (mean area x2.33, 1820 sweeps); id-survival ledger: 47/70 smallest half eaten vs 10/70 largest (820 sweeps); junction census with grain-scale arms tightens 29.5 -> 24.4 deg toward 120 (lattice+T noise floor declared); 4-grain corners 0; clicked quench pins ~4-5 pct and visibly resists; deterministic; 2.8 ms/sweep
raindrops, a printed moment
47
raindrops
Volume-true coalescence + tilt pinning (r_crit = K/sqrt(sin tilt)): 41 runs/150 s at tilt 55 (seed 9: 34), mergeFrac 1.00 -- every run launched by a merge, none by slow growth; interval cv 1.53-1.55 (over-dispersed, avalanche-clustered; B window-dependent, demoted to secondary); tilt 20 pins (r_crit 5.0), tilt 80 runs steadily; click-cascade verified live (runs 22 -> 29 after one fat drop); deterministic fixed-step; ~2 ms/step

phase 8 — heat, thresholds & chaos

brownian, a printed moment
51
brownian
The jitter has a law: MSD log-log slopes 1.87-1.95 at short lags (ballistic, memory) crossing to 0.88-1.25 at long lags around the 4*D*tau Einstein guide (anchored at ONE measured point); the box's confinement bend appears honestly at the largest lags; T x4 doubles D (0.0031 -> 0.0058, the sqrt-T scaling); every kick is a real elastic collision, E drift 5e-15; deterministic; 0.29 ms/step, 520-particle bath + one 60x-mass grain
maxwell, a printed moment
52
maxwell
Collisions alone forge the curve: D(hist||MB) falls 0.941 (the launch needle, measured at true t=0) -> 0.073 by t 60 (seed 9: 0.077); the guide is the 2D Rayleigh form from measured <v^2>, never fitted; energy drift 8e-16 over 791,500 collisions (equal-mass elastic swap is exact); injected 4.9x particle thermalizes into the crowd (1.07x by +5 t.u.); deterministic; 0.37 ms/step, 680 disks, spatial hash
entropy-mix, a printed moment
53
entropy-mix
Loschmidt staged exactly: mix to S 0.992 of ln2, reverse, return to S 0.000 -- bit-exact (both seeds); remix to 0.979; turn ONE particle before reversing and the 'return' stays at 0.998. 17,703 lattice-gas particles, integer HPP state, deterministic; 1.3 ms/step at G 136. Auto-story stages mix/reverse/return then nudge/reverse/no-return
percolation, a printed moment
54
percolation
The span arrives all at once: per-seed thresholds by exact bisection 0.508 / 0.525 / 0.521 (seeds 54/9/41), straddling the infinite lattice's p_c = 1/2; below: islands only (12% largest); AT threshold: spanning filigree with box-counting D 1.79-1.84 (91/48 = 1.896 at infinity; finite-size lowers it); at 0.62 it fattens to D 1.89; monotone seeded bond family makes the slider sweep coherent; deterministic; 1 ms per full union-find recompute
forest-fire, a printed moment
55
forest-fire
Drossel-Schwabl: fire-size power law slope -1.11 (seed 9: -1.12) over 14 populated octaves, biggest 10438 cells; suppression quota 96: fires 529 to 248 per 8000 steps (344 suppressed) while catastrophic share rises 18.5 to 39.5 pct; deterministic; 0.017 ms/step
ising, a printed moment
56
ising
The critical point looks like nothing else: at T_c = 2.269 the majority domain spans 45-56% with box-counting D 1.78-1.86 (seeds 56/9) and domains flicker at all scales; hot control largest 28%, D n/a; quench 3.5 -> 1.2 coarsens the mass-weighted cluster size 1838 -> 6824 -> 7520 -> 8408 monotonically (deterministic); cold random-init freezes into opposing provinces (|m| ~ 0 -- the honest glassy truth, not a bug); 2.45 ms/sweep, Metropolis with a seeded flip stream
xy-kt, a printed moment
57
xy-kt
XY quench across T_KT=0.893: defects 10 cold vs 568 hot (seed 9: 14/558), nearest-opposite 8.2 to 1.2 cells; injected pair +2 then annihilates below baseline; deterministic; 1.72 ms/step
logistic, a printed moment
58
logistic
Orbit diagram with measured instruments: period ladder 1,2,4,8,16 then chaos; window of three at r 3.835 (period 3, lyap -0.31); the window's own cascade 3,6,12,24 measured at 3.835/3.8415/3.8481/3.8493; doubling points bisected 2.9986/3.4490/3.5439/3.5643, delta -> 4.642 vs Feigenbaum 4.669; drag-zoom self-similarity SEEN at [3.82,3.87]; deterministic; 0.048 ms/col
lorenz, a printed moment
59
lorenz
RK4 butterfly, four measured claims: r max 51 bounded over 140 t.u.; closest return 0.056 -- never zero (2000-state memory, young samples excluded); lambda 0.953 measured from a 1e-9 shadow twin; twin wing-agreement 0.541 -- a coin (seed 9: 0.622); scattered cloud collapses 21.6 -> 1.84 in 0.7 t.u.; deterministic; 0.158 ms/step of 500 RK4
standard-map, a printed moment
60
standard-map
Chirikov kicked rotor: sea fraction MEASURED by tangent-map lyapunov over 24x24 ICs (thr 0.05): 0.9/28.5/68.6/87.8 pct at K 0.5/0.9716/1.5/2.5; transport fence measured: separatrix bundle dpMax 1.64/2.28 caged below K_c, 5.08 crawl at K 1.1, then 24.1/135.5 leaking at 1.4/2.2; live contrast SEEN K 0.97 vs 2.2; deterministic; 0.14 ms/step of 230 orbits

phase 9 — celestial & quantum

kirkwood, a printed moment
61
kirkwood
Gaps carve themselves: at 600 J-orbits 3:1 depth 0.43 (seed 7: 0.36), 2:1 0.46-0.88, 5:2 0.63-0.83 at 1200; 7:3 honestly shallowest (lags, as in the real belt). Pour 60 asteroids into the 3:1: ratio 0.43 -> 1.21 -> worked back to 0.71-0.88 within ~220 orbits. Deterministic; 0.135 ms/step (force-reuse KDK); removals only by Jupiter encounter, Mars-crossing perihelion, or escape
three-body, a printed moment
62
three-body
The eight holds 47.4 laps, dE/E 1.4e-7, shadow-twin deviation exactly 0 (bitwise determinism proof); a 1.5% nudge grows x240 in 60 t.u., 'lost' (dev>1) at +44, formal ejection when chaos schedules it (456-739 across probes). Triangle with a declared 1e-6 hair shatters (shape lost) at t 32.6. Lottery: 86-100% of draws eject, median 6.7-36.6 t.u. (seeds 9/62). Softening 0.01 declared; ledger sane through breakups (dE <= 3e-2)
trojans, a printed moment
63
trojans
Trapped by geometry alone: L4 70/70 and L5 70/70 co-orbital releases still librating after 64 planet-orbits; horseshoe band (dr 0.030-0.042) 54/60 and 55/60 walk the ring without ever crossing the planet's 11-deg bin; scattered releases 40 lost (ejected+fallen); deterministic; Jacobi drift of trapped orbits <= 3.5e-4 worst, typ 8.6e-5; RK4 dt 0.004, 0.235 ms/step, mu 3e-4
roche, a printed moment
64
roche
Tides beat self-gravity where the arithmetic says: the pile survives to R 0.93 and shreds at R 0.853 vs Roche's 1848 prediction 0.918 (7% -- computed from the moon's own measured bulk density; seed 7: 0.854); no-decay control holds bound 1.0 / rms flat for 48 t.u. at R 1.55; forced to R 0.7 it collapses to 5% bound with a 270-deg arc in 12 t.u.; rescued at R 1.02 -> 1.4 it stays whole. Deterministic; 0.32 ms/step, 340 self-gravitating pebbles
accretion, a printed moment
65
accretion
Oligarchic growth measured: runaway x98 -> x239 -> x414 m0 over t 60-400; top-5 share climbs 7% -> 36%; surviving oligarchs space themselves at 5.2-5.4 mutual Hill radii (seed 9: 6.0; reduced disk: 6.7) -- the textbook 5-10 R_H signature; feeding lanes visibly carved in the a-histogram. Deterministic; 3.0 ms/step at n 4800 (spatial-hash merging every 4th step); fat collision radii and the embryo-only-gravity approximation declared
shepherds, a printed moment
66
shepherds
The gap is swept, not carved: the zone between the moons empties to 8% of its starting density by 160 orbits (21% at ~100) while the mu=0 control stays flat (0.98/0.99/1.02); co-orbital ringlets survive AT each moon's radius on horseshoe orbits (x1.36/x1.39) -- Pan's ringlets for free; surviving ring edges sharpen. Drag test: outer moon 1.06 -> 1.10, the old lane heals (gap 8% -> 38%) and the ring reorganizes. Deterministic; 0.45 ms/step for 3,600 particles; cooling declared (tau ~40 orbits)
galaxy-collision, a printed moment
67
galaxy-collision
One prograde pass throws the tails: tail fraction 16.8% (seed 7: 16.2%), bridge 618-627 stars, wedge one-sidedness 0.53; the SAME pass retrograde: tails 8%, bridge ZERO -- Toomre's deep result measured both ways. Drag-to-aim verified via synthetic pointer events (encounter replays with the drawn vector). Centers' two-body ledger 1.75e-8 (scaled by characteristic energy -- a parabola's E is 0, never divide by it); deterministic; 0.46 ms/step for 3,200 stars
doppler-cone, a printed moment
68
doppler-cone
The picture IS the equation, measured off the drawn circles: lambda ahead/behind 0.334 vs (1-M)/(1+M)=0.333 at M 0.5, 0.112 vs 0.111 at M 0.8; cone half-angle 45.6 deg vs asin(1/M)=45.6 at M 1.4; the listener counts real front crossings (x2.06 f0 measured) and booms 6 times in 25 t.u. supersonic, never subsonic (minBoomAgo 9.4 = sentinel). Deterministic; 6 microseconds/step; auto-ramp through Mach 1
tunneling, a printed moment
69
tunneling
Part of every packet crosses the impassable wall: T 8.36% at V0/E 1.3, w 4 -- against 8.4% analytic at the packet's central energy; classical control (V0/E 0.6) passes 81%; ln T vs width falls at slope -0.778 vs the monochromatic -2*kappa = -0.876 (the 11% gap is the packet's declared energy bandwidth); detections 24:1 over 25 seeded runs at T 10%; norm ledger 6e-11; deterministic; 0.31 ms/step (hand-rolled radix-2 FFT, N=1024)
quantum-carpet, a printed moment
70
quantum-carpet
Structure, not mush: revival fidelity at T_rev = 1.000000 and mirror fidelity at T/2 = 1.000000 (spectral, computed from mode weights -- and the T/2 SELF-fidelity is 1e-6: the packet is ONLY at the mirror); 2 ghost copies at T/4 (1 at t=0); truncation 5.8e-13 in 64 modes; exact evolution, no integrator; deterministic; 0.54 ms/row after a sine recurrence (was 5.2 -- 64 sin() calls per point). Click launches new packets; weave 2 verified live via synthetic pointer

phase 10 — growth, computation & drawn beauty

phyllotaxis, a printed moment
71
phyllotaxis
parastichy census from nearest-neighbour birth-gaps: 34|55 Fibonacci interlock at 137.508 (deterministic), 21 spokes at 137.2, 47 spokes at 137.8 -- the knife-edge measured; verdict = two families sharing vs one owning; sweep rests at home; bench 1.8 ms
l-systems, a printed moment
72
l-systems
3-rule grammar; stroke ladder 6/33/147/615/2511/10143 (x4.1 per gen, meristem law), 4095 buds; seeded species (angle 24.9 vs 25.3 across seeds); depth-weighted sway; deterministic; compile 44 ms; fps 20 at 10k strokes x2 passes
leaf-venation, a printed moment
73
leaf-venation
Loops not trees: ~1,123 nodes with ~150 anastomoses; cutting the busiest blade vein leaves 100% of the leaf draining vs 47-84% in the pure-tree counterfactual (seeds 73/19/41/7: tree keeps 0.542/0.472/0.835/0.824); deterministic (seed 19 twice identical); flow = Laplacian relax, 51 ms/solve; growth terminates at iter 205
spider-web, a printed moment
74
spider-web
The build sequence itself: bridge/frame, radii laid alternately, auxiliary spiral out, sticky spiral in EATING the scaffold (all four stages shot). Then tension-only hunting: 13 throws across seeds 74/9/41 all within 1.6 deg of truth vs radii every 15 deg (seed 74: 0.7/0.5/0.8/0.7; seed 9 mean 1.3; seed 41 mean 0.7); deterministic; PBD net 415 junctions, 3.9 ms/step blind, 43 fps headless
elementary-ca, a printed moment
75
elementary-ca
cols=360 after the missing resize() bug (40-cell toy world faked Pascal rows<=15 -- monitor lies); ladder exact 2/4/8/16/32/2/64; r30 entropy 1.000; r184 conserves exactly, stopped 105->38 jam phase vs ->0 free flow; verdict editor flips live (184->56); bench 0.037 ms
game-of-life, a printed moment
76
game-of-life
soup 33% -> ash: still 1205-1376, osc 257-344, deterministic; census exact 5x5 masks all glider phases; gun clears its footprint then fires (2-4 in flight through ash); bench 6.1 ms/gen at 81k cells, 12 gen/s
langton, a printed moment
77
langton
highway detected from footprints (5 identical 104-step displacements): steps 5720/3224/17368 on seeds 73/19/41 -- always, timing unprovable; staged speeds; second ant dissolves the story; deterministic; bench 2.4us/step
evolution-arena, a printed moment
78
evolution-arena
Locomotion evolves: seed 78 best 3.74 -> 8.56 lengths over 20 generations, pack MEAN 0.05 -> 4.46 (x89, the flailing-to-loping line); seed 17 ratio 3.2, seed 41 ratio 4.5; terrain bump: 7.27 -> dip 6.39 -> 7.55 in 20 more gens (adapts past pre-bump); deterministic (twice identical); 0.215 ms/step, 42 fps headless; champion genome f 2.43 Hz near-antiphase muscles
caustics, a printed moment
79
caustics
paraxial ray fan 22.8k rays; concentration 6.3x flat -> 258-347x at 0.55 -> 138x at 1.0 (over-fold scatters, honest); cursor ripples refract; first lever was 15x short (ratio pinned at the flat baseline -- measure past the baseline); deterministic; 30 Hz splat, fps ~21
harmonograph, a printed moment
80
harmonograph
analytic pen: envelope 0.50003 at printed half-life; pass near-miss 0.045 (precession); ratios 5:2/3:2/7:4 seeded with detune few-thousandths; print computes the machine's whole life; deterministic; bench 2.5us

phase 11 — money, rumor & contagion

yard-sale, a printed moment
81
yard-sale
condensation: gini 0->0.94@55s->0.967@110s, top-1 16%; tax sweep 0.1/0.2/0.4 -> gini 0.58/0.48/0.39, top 1-2%; jubilee resets; deterministic (0.939 twice); bench 0.09 ms; fps 21-41
bank-run, a printed moment
82
bank-run
Gai-Kapadia miniature: extent 0.34/0.72/0.92/1.00 for z=1..4, CLIFF to 0.021 (=1/48) for z>=5; cross-seed 0.72/0.96/0.02; slice-vs-buffer arithmetic shown in HUD; deterministic; bench 0.22 ms
riot-threshold, a printed moment
83
riot-threshold
Granovetter twins, same mean (111 vs 109): staircase 100% riot vs bell 0.5% fizzle with the SAME 2 hotheads; CDF-vs-diagonal instrument; draw-to-resculpt verified (drags resampled: mean 109->173 still fizzles, low-tail ramp partial); deterministic
info-cascade, a printed moment
84
info-cascade
BHW urn: herds 60/60, wrong 8-12/60 (13-20%), lock after 3.6-3.9 choices; post-lock dissent = signal noise (mm 0 pre vs 0.289 post); reveal rings the buried hints; deterministic
epidemic, a printed moment
85
epidemic
SIR, same beta/tau/k on 3 wirings: toll 0.107/0.307/0.687, peak x14, half the time on scale-free; vax 12%: hubs 0.009 vs random 0.538 (x60); deterministic; bench 0.11 ms; fps 20-29 honest (900 nodes + edges)
polarization, a printed moment
86
polarization
Deffuant + OU restlessness; eps 0.3 -> 1 camp, eps 0.08 fresh scatter -> 4-5 non-communicating camps (hysteresis honest: consensus resists re-splintering); broadcast 0.85 -> edges 0.80/center 0.20; spectrogram strip (ping-pong fix: self-drawImage compounds); bench 0.06 ms
order-book, a printed moment
87
order-book
Gode-Sunder ZI: spread ~2.5 ticks stable; tape misses truth 1.2-1.5 vs trader noise 2.5 (x2 discovery); whale +3.5 heals in ~8 s; poison fixed (market orders never rest); deterministic; bench 0.017 ms
bullwhip, a printed moment
88
bullwhip
beer game continuous: CV ladder 4/6/11/22/47% unshared (seed19 hotter 82%); sharing collapses factory 47->16; clipped feast/famine plateaus honest; deterministic; bench 0.12 ms; fps 39-53
braess, a printed moment
89
braess
flow-priced ledger exact: closed 6.53/open 7.96/healed 6.49 vs theory 6.5/8.1/6.5; 89% defect onto the shortcut; occupancy-based delay INVERTED the paradox (first build) -- flow-based fixed it; deterministic; bench 0.14 ms; fps 33-56
pref-attach, a printed moment
90
pref-attach
BA urn vs uniform twin, same arrival stream; hubs 45/43/67 vs 15/20/13 (x3-5); survival slope -1.8 (theory -2) vs -3.1 sag; deterministic; bench 0.018 ms; fps 22-38 grown

phase 12 — networks & operations

small-world, a printed moment
91
small-world
mean-path instrument, N=200 k=6, graph resampled per race; p=0.01: L-ratio 0.543 with C-ratio 0.962 (0.85/1.00 at p=0.001; both die at 0.3); reduced fills all 24 bins = the WS figure; fps 37-56
naming-game, a printed moment
92
naming-game
words as seeded runes; 638 alive -> 2 dialects (97-99% each, 60+s stable); right lobe S-leap 0.04->0.90 in 6 s after 13 s squabble; 3% cross-seam keeps the frontier; neologism crushed in 12 s; bench 0.15 ms
prisoners, a printed moment
93
prisoners
cooperators survive as CLUSTERS in defector seas, frontier kaleidoscopes churning; temptation slider tunes coexistence to collapse
rps-ecology, a printed moment
94
rps-ecology
spiral waves of pursuit sustain ALL THREE species (three glyph orientations); a dominance slider collapses diversity
queue, a printed moment
95
queue
x8 time-lapse; uncapped per-rho bins land on rho/(1-rho): 7.4@0.90 vs 15.5@0.95 seed73 (x2.08), 9.0 vs 21.6 seed19 (x2.40); rush -> 102 deep; fps 43-53
two-choices, a printed moment
96
two-choices
one extra glance collapses max load (log n → log log n) — one ragged skyline and one flat one, side by side
tcp-sawtooth, a printed moment
97
tcp-sawtooth
fluid AIMD + bufferbloat; jainAvg(12s) 0.96@60s/0.99@90s from a hog start (2 seeds); RTT 0.25 cheat takes 17.3 vs others ~5.7 (x2.9), fairness sags to 0.75; fps 31-54
grid-cascade, a printed moment
98
grid-cascade
DC flow, caps = N-1 envelope +5%; page verifies N-1 (0 shed, all singles, 2 seeds); pairs: 34/300 shed, median 0.46, worst 0.74; killer pair animated; bench 7 ms/event (event-driven); fps 21-50
recapitulation, a printed moment
99
recapitulation
OPERATOR-ASSIGNED slot 99, built from the operator's prototype with all seven spec corrections. Stage-indexed growth-rule genomes (T=10, ratio-chain lengths, per-stage wobble seeds), collision culling INSIDE grow() (6 px cells, cap 2 — lifting selection never lifts development), viability CHECKPOINTED at stages 2/5/adult, lineage tree with splits + turnover (10 living), plus a SHADOW TWIN population (same cadence, never filtered) drawn as the dashed drift baseline. VERIFIED 08-30 Angkor via hooks + look.js: HEADLINE HOURGLASS seed 73 @600 gens = [0,.04,.03,.09,.13,.16,.17,.16,.16,.16] (waist at stages 1–2; operator prototype [.11,.07,.12,.15,.16] same shape) vs twin flat [.32,.30,.30,.38,.40]; deaths-by-stage [.32,.20,.20,.14,.16,.08,.05,.21,.05,.07] — early mutations die most, nothing in the code says so; LIFT → within 200 gens the waist fills [.42,.42,.38,.37,.36] (SEEN dissolving); RESTORE → stage-1 distance dips back to ~0.10 by +1500 gens (slowly re-condenses, honestly noisy — acquired early divergence persists until lineages turn over); compare by REAL clicks: side-by-side replay, divergence cross on the stage ruler (stage 2–5 for old pairs), LCA ringed on the tree, and evolution PAUSES while comparing (gen frozen 2.5 s, resumed on release); scatter negative (r −0.46 sel / −0.7 lifted — brittle, kept but not headlined); evolution on real elapsed time (0.22 s/gen, burst-capped); 60 fps light/dark/phone; seeds bit-exact/distinct; reduced still = 500 gens chunked with the waist visible; print = a GROWN Haeckel plate (6 species × stages 1/3/5/7/9, tally column marks, hourglass at the foot; 16 KB renders) — Haeckel forged his, the comment and the about say so; hooks __advance/__stats/__profile/__compare; about/listen block on