# line (geometric)

a set of points with regular arrangement in space

- Computed level: L12 (depth in the emergence graph, not abstraction)
- Status: review  ·  Domain: geometry  ·  Arena: line

## Emergence
**Emerges from:** [sets](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-sets.grouped), [pattern](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-pattern.regularity), [space](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-space.extent), [arrangement](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-arrangement.spatial), [points](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-points.location), [regular](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-regular.frequency)

**Through:** the grouped points maintain a consistent spatial arrangement through regular placement in extent

**Novel properties:**
- continuous extension in one direction
- repeating positional pattern
- irreversible structural threshold

## Examples
- The Great Wall of China extends 21,196 km in a continuous line across northern China. *(engineering)*
- The alignment of the Pyramids of Giza follows a precise north-south line within 0.05 degrees. *(architecture)*
- Laser interferometer beams form a straight line over 4 km in LIGO’s gravitational wave detection. *(physics)*

## Used by
- [along](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-along.spatial) (L13)
- [cross](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-cross.symbol) (L13)
- [direction](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-direction.spatial) (L13)
- [track](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-track.path) (L13)

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*Canonical: https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-line.geometric*  
*Structured data: https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-line.geometric.json*  
*Every definition provably resolves to space, time, energy and pattern.*