The Emergence Machine

Geometry

abstract · Mathematics · Level 4 · E0

E0Spacetime

Each concept here is mapped to its prerequisites — the ideas you'd need first to understand it — all the way down to four foundations: Space, Time, Energy, Pattern. Click any prerequisite to drill down, or scroll for the chain graph.

Trace. Question. Emerge.

Emergence definition

Geometry is the mathematics of the organized arrangement of particles in space, where the shape and arrangement of matter exhibit patterns that govern its transformations, and studying their properties and relationships allows for the understanding of their transformations.

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Wiktionary senses

External reference — all senses of the word “geometry” on Wiktionary. This atlas concept maps to only the slice of meaning relevant to the prerequisite graph.

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Source: Wiktionary — “geometry”. Content available under CC BY-SA 4.0.

Historical origin

Origin word
geometria
Origin language
grc

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL4L3L2L1L0GeometryShapeFormStructureMatterEnergyPatternSpaceE1 concrete → E14 abstract

Neighborhood

Direct prerequisites above, concepts that depend on this one below.

used byprerequisitesAngleL5TopologyL5AreaL6GeometryL4ShapeL3E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Shape L3 (requires)
    Geometry is the mathematics of shapes, studying their properties, relationships, and transformations.

Used by