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Mathematical Object

Hyperboloid model

Geometry

The hyperboloid model is a model of n dimensional hyperbolic geometry in which points are represented by points on the forward sheet of a two sheeted hyperboloid embedded in an n plus one dimensional Minkowski space. Hyperbolic space is embedded isometrically in this Minkowski space, meaning the hyperbolic distance function is inherited directly from the distance structure of the Minkowski space itself. Because of its association with Hermann Minkowski, the model is also called the Minkowski model, and it stands alongside other representations of hyperbolic geometry such as the Poincare disk model and the Beltrami-Klein model. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

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Geometric Object 1
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Source Hyperboloid model (Wikipedia)

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Source Hyperboloid model (Wikipedia)

Is Kind Of Object

Entity-backed identity for the object-kind enum value this mathematical object 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 object-kind fact itself stays on the object unchanged.

Sources
1. Hyperboloid model (Wikipedia)
  • In Branch: Geometry, Lead sentence
    In geometry, the hyperboloid model, also known as the Minkowski model after Hermann Minkowski, is a model of n-dimensional hyperbo
  • Attributed To: Hermann Minkowski, Lead paragraph
    In geometry, the hyperboloid model, also known as the Minkowski model after Hermann Minkowski, is a model of n-dimensional hyperbolic geometry in which points are represented by points
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