Local Discrete-Round Modeling

Simulate Binary Signal Cascades Across Directed Agent Graphs

Construct directed agent topologies, configure activation thresholds, and inspect deterministic multi-round cascade dynamics with zero external dependencies.

Build New Scenario Explore Mechanics

Topological directed agent network graph showing deterministic signal cascade paths

Directed Mesh Topology (N=8, T=50%) Live Visualizer

PERSISTENT BINARY ACTIVATION DIRECTED TOPOLOGY MATRIX DETERMINISTIC THRESHOLD RATIO MULTI-ROUND STEPPED CASCADE ZERO-NETWORK CLIENT COMPUTATION JSON & VECTOR EXPORT PERSISTENT BINARY ACTIVATION DIRECTED TOPOLOGY MATRIX DETERMINISTIC THRESHOLD RATIO MULTI-ROUND STEPPED CASCADE ZERO-NETWORK CLIENT COMPUTATION JSON & VECTOR EXPORT

Interactive Environment

Formulate, Calibrate, and Execute Cascade Scenarios

Use the guided stepper to adjust topology, thresholds, and simulation depth, or trigger updates directly in real-time.

Scenario Stepper

Configure parameters step-by-step or trigger execution directly.

Total Agent Nodes (N)

8 Nodes

Directed Connection Geometry

Initial Seed Agent (Source)

Activation Threshold Ratio

50%

Simulation Discrete Rounds

5 Rounds

Inspect configured topology and export local simulation results.

Topology: 8-Node Mesh Active: 1/8

Simulation Output Initialized

Configure the topology above and execute the simulation to compute deterministic signal propagation paths.

Source: Agent 1 Threshold: 50% Status: Initialized

Curated Scenarios

Quickly load specific baseline network configurations to evaluate distinct cascade phenomena.

Model Specifications

Activation Rule Persistent Binary
Influence Weighing Uniform Per-Link
Execution Model Synchronous Rounds
Data Boundary Zero Telemetry

Propagation Mechanics

Deterministic Spread Across Directed Graphs

Signal cascades depend directly on the structural connectivity of individual nodes. When an inactive node evaluates its inbound edges, it computes the fraction of active predecessors.

If the ratio meets or exceeds the threshold ratio, activation is triggered permanently for all subsequent discrete rounds.

Two-Neighbor Mesh Topology

Two-Neighbor Mesh

Each node maintains directed links to its two immediate forward neighbors. Provides balanced propagation speed with strong redundancy resistance.

In-Degree

2 Edges / Node

Threshold Sensitivity

High (at 100%)

Unidirectional Ring Topology

Unidirectional Ring

Nodes form a closed directed loop where each agent has exactly one incoming and one outgoing edge. Guaranteed complete propagation if threshold is 100% or lower.

In-Degree

1 Edge / Node

Propagation Latency

O(N) Rounds

Hub and Spokes Topology

Hub & Spokes

A single central node is bidirectionally linked with all peripheral nodes. Demonstrates extreme asymmetric propagation depending on seed selection.

Hub In-Degree

N-1 Edges

Broadcast Speed

1 Round (Hub Seed)

Sequential Linear Chain

Sequential Chain

Strict forward pipeline from node 1 through node N. Useful for testing directional delay and terminal boundary conditions.

Terminal In-Degree

1 Edge (0 Out)

Boundary Effect

Strictly Linear

Scenario Casebook

Empirical Activation Benchmarks

Scenario Alpha — High Threshold Ring

Single-Predecessor Invariance

In a pure directed ring, each agent receives exactly 1 inbound connection. Consequently, any threshold between 1% and 100% yields identical propagation rates of exactly 1 hop per discrete round.

Topology: Ring (N=7) Propagation Speed: 1 hop/rnd Equilibrium: N-1 rounds

Export & Integrate

Inspect, Validate, and Export Agent Graph Configurations

All computation occurs locally within your browser sandbox. Export deterministic state sequences in standardized JSON format or capture vector diagrams for documentation.

Open Interactive Simulator Return to Overview