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Theorem

Aztec Diamond Theorem

Combinatorics and Graph Theory

The Aztec diamond theorem is a result in combinatorial mathematics about tilings of the Aztec diamond, a diamond-shaped region of a square lattice of order n. It states that the number of domino tilings of the Aztec diamond of order n equals 2 raised to the power n(n+1)/2, and a companion result, the Arctic Circle theorem, shows that random tilings of large Aztec diamonds develop a frozen region outside a circular boundary. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Statement Form
Identity or Equation 1
Connections

Has Statement Form

Equation, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Identity, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Sources
1. Aztec diamond (Wikipedia)
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