PPolySim OS
For Educators · Small-World Network

Small-World Network for a metro system

Built for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs. Simulate a metro system live below — adjust the inputs and watch it respond, right in your browser.

Small-World NetworkLive

Controls

Presets

Start with an orderly ring where everyone knows their neighbors, then randomly rewire a few connections. Even a handful of long-range shortcuts collapses the average path length — the six-degrees-of-separation effect — while keeping high local clustering. This small-world structure appears in social networks, the brain, and power grids.

▶ Run in Python

Data Inspector

Rewiring p0.10
Clustering0.000
Avg path length0.00

Governing equation

Reading this result: Small-world regime: a few random shortcuts collapse the average path length while clustering stays high — the six-degrees effect.

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Frequently asked questions

Is this good for educators?
Yes — this version of "Small-World Network for a metro system" is framed for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs.
Do I need to install anything?
No. It runs in any modern browser, free, with no account required.