# Percolation
## MicroSim spec
- **Recommended sim type:** [[Cellular_automaton|cellular automaton]]
- **Microsimmability score:** 86/100
- **Layout:** drawing region (canvas) on top; control region (sliders/buttons) below.
### Parameters (tunable controls)
- `Site probability`
- `Grid size`
- `Cluster threshold`
### What animates
Sites on a grid are filled at a chosen probability and connected clusters are highlighted as percolation sets in.
### Learning objective
Show how a connected spanning cluster appears abruptly at the percolation threshold.
## Links (Wikipedia order)
<!-- injected from _registry/childlinks/Percolation.json (2026-07-30T02:09:12Z) -->
`Aquifer` · `Béla_Bollobás` · [[Chemistry]] · `Coffee` · `Coffee_filter` · `Combinatorics` · `Complex_network` · `Critical_phenomena` · `Darcy's_law` · `Dietrich_Stauffer` · `Edward_Loysel` · `Epidemiology` · `Filtration` · [[Fractal]] · `Gelation` · `Geoffrey_Grimmett` · `Geology` · `Giant_component` · `Groundwater` · `Groundwater_recharge` · `Harry_Kesten` · `Immunization` · `Infiltration_basin` · `Jöns_Jacob_Berzelius` · `Mark_Newman` · [[Materials_science]] · [[Network_theory]] · `Percolation_critical_exponents` · `Percolation_test` · `Percolation_theory` · `Percolation_threshold` · `Peter_Grassberger` · [[Phase_transition]] · `Physical_Review_Letters` · [[Physics]] · `Pierre-François-Guillaume_Boullay` · `Polymerization` · `Renormalization` · [[Self-organization]] · [[Self-organized_criticality]] · `Septic_drain_field` · `Septic_tank` · `Universality_(dynamical_systems)` · `Water_table` · [[Wayback_Machine]]
> p5.js MicroSim stub · part of Systems Science · [Wikipedia source](https://en.wikipedia.org/wiki/Percolation)
> Relation: subfield of systems science.
## Concept summary
In [[Physics|physics]], [[Chemistry|chemistry]], and [[Materials_science|materials science]], percolation (from Latin percolare 'to filter, trickle through', first coined in the 1840s by Edward Loysel) refers to the movement and filtering of fluids through porous materials.
## Build checklist
- [ ] Claim it: set `status: in-progress` + `lease` + `leased_at`
- [ ] Write the child page explaining the concept (tie it back to systems science)
- [ ] Finalize parameter ranges and defaults
- [ ] Implement the p5.js sketch (drawing + control regions)
- [ ] Add caption + the learning objective on the page
- [ ] Set `status: done`
## p5.js sketch
```javascript
// MicroSim: Percolation
let controls = {};
function setup() {
// createCanvas(...); create sliders for the parameters above.
}
function draw() {
// background(...); read controls; render cellular automaton; respond live.
}
```
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Back to Systems Science · Wikipedia: [Percolation](https://en.wikipedia.org/wiki/Percolation)
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<!-- SEMIOTIC-PROFILE:START -->
## Semiotic profile
> *The semiotic universals this article invokes, machine-derived from the crossref — **unverified** (born so). Populated 2026-07-06 for the Systems room.*
**Universals (5):** 🟡 system (10) · 🟡 science (7) · 🟢 filter (4) · 🟢 probability (4) · 🟢 threshold (4)
**Enter by sign:** Systems Semiotic Gateway · Alphabetum · Icon Registry · ← Systems Portal
<!-- SEMIOTIC-PROFILE:END -->
## Wikipedia : Wikitube
**Strict pair:** [Wikipedia](https://en.wikipedia.org/wiki/Percolation) : [Wikitube](https://en.wikitube.io/wiki/Percolation)
## Previous hub tags
Tree parents: [[Complex_system]] · [[Cybernetics]] · [[Dynamical_system]] · [[Emergence]] · [[Feedback]] · [[Self-organization]] · [[Systems_science]] · [[Systems_theory]].
Legacy hubs: none.
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*Sources: 2 legacy notes. Minted wave 1, 2026-07-30 (v1.6 order).*