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Spatial Data Structures and Algorithms (scipy.spatial)

A computational-geometry reference covering Delaunay triangulations, convex hulls, Voronoi structures and degenerate point configurations.

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External resource. No execution or independent verification is claimed here.

A QUESTION TO TAKE FURTHER

Which geometric invariants remain valid when the input contains duplicates or nearly coplanar points?

Use evaluator-owned point sets with exact small cases and independently verify hull containment, simplex validity and reported degeneracies.

What you could produce

  • A versioned minimal protocol, evaluator-owned test cases, and a comparison report with numerical/statistical uncertainty and failures.

Before you use it

  • SciPy 1.18.0
  • Compatible NumPy and native numerical-library build; exact environment not prepared

Limits to keep in view

  • No upstream example, source package, build hook or submitted code was executed.
  • The current qualified pilot accepts only self-contained Python 3.13 with a 90-second deadline. This reference's package/runtime is not qualified for that path.
  • The proposed protocol requires bounded resource estimates and an independently controlled evaluator before any scientific execution claim.

Source and permission context

SciPy documentation. Spatial Data Structures and Algorithms (scipy.spatial). https://docs.scipy.org/doc/scipy-1.18.0/tutorial/spatial.html; observed version 1.18.0.

Catalog listing reviewed. This review covers the description and source links displayed here.

Versioned SciPy 1.18.0 page and BSD-3-Clause documentation evidence reviewed.

Reviewed 2026-09-14. Copying or adapting source files remains subject to their own terms.

documentation · BSD-3-Clause

SciPy's versioned developer policy explicitly includes documentation under its default BSD license, subject to separately specified exceptions; the matching 1.18.0 LICENSE.txt identifies the three-clause terms.

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Before copying source material

  • Third-party figures, linked papers, datasets and dependency licenses have not been assessed; no external content is copied into this catalog.