folio 1 of 7 — “What If?
I
cf. Laplace's demon,
1814 — deterministic
simulation as divine
knowledge

Every simulation begins
with a question

II
a model is a
simplification that
reveals truth through
omission

The Model

Every useful simulation starts with a model — a simplified representation of reality that captures what matters and gracefully ignores the rest. At simulai.dev, we believe models should be transparent, composable, and beautiful.

Our approach draws from decades of scientific computing tradition: define your system as interacting components, specify the rules that govern their behavior, and let the simulation unfold.

We build tools for people who think in systems — engineers, researchers, designers, strategists — anyone who needs to ask “what happens next?” and get a rigorous answer.

III
Monte Carlo, 1949:
Ulam & von Neumann
use randomness to
solve deterministic
problems

Stochastic Methods

Not all systems yield to deterministic analysis. When the variables are too many, the interactions too complex, or the initial conditions too uncertain, we turn to stochastic methods.

Monte Carlo simulation, Markov chains, agent-based modeling: tools that embrace uncertainty rather than fleeing from it.

simulai.dev makes stochastic simulation accessible. Define distributions, set parameters, watch thousands of parallel worlds unfold.

IV
data is not truth;
data is the shadow
truth casts on our
instruments

The Data

RunTimestepAgentsConvergenceDeltaStatus
001t=0.0421,0240.9847+0.0012complete
002t=0.0872,0480.9912+0.0065complete
003t=0.1344,0960.9731-0.0181running
004t=0.2018,1920.9654-0.0077running
005t=0.28916,3840.9889+0.0235complete
006t=0.37732,7680.9923+0.0034pending
007t=0.45665,5360.9801-0.0122pending
V
the simulation runs;
we observe, we wait,
we trust the process

Running

The simulation is in motion. Every particle follows its trajectory. Every agent evaluates its neighbors. Every timestep brings the system closer to its attractor — or reveals that no stable state exists.

This is the moment of truth — when the mathematics meets reality, and reality pushes back.

VI
results are not
endpoints; they are
invitations to ask
better questions

Results

Simulation does not replace intuition — it extends it. Where the mind imagines one outcome, the simulator reveals a thousand, and in their distribution lies understanding.

VII
your turn

simulai.dev

x=0.4821 y=0.7734 z=0.1290 | t=1682.04s | p(converge)=0.9847 | agents=1024 | delta=+0.0012 |   lat=61.4978 lon=23.7610 | wind=4.2m/s | temp=272.15K | pressure=101325Pa | humidity=0.67 |   run_id=7f3a9b | seed=42 | iterations=10^6 | method=monte_carlo | status=converging |   node[14]->node[7] w=0.832 | node[7]->node[22] w=0.441 | cluster_id=3 | modularity=0.72 |   sigma=0.0234 | mu=0.5012 | kurtosis=2.98 | skew=-0.04 | n=65536 | ci_95=[0.4998,0.5026] |   x=0.4821 y=0.7734 z=0.1290 | t=1682.04s | p(converge)=0.9847 | agents=1024 | delta=+0.0012 |   lat=61.4978 lon=23.7610 | wind=4.2m/s | temp=272.15K | pressure=101325Pa | humidity=0.67 |   run_id=7f3a9b | seed=42 | iterations=10^6 | method=monte_carlo | status=converging |