four-vertex theorem

theorem that every simple closed smooth curve in the plane has at least four points of locally extreme curvature
Intangible theorem Q994401
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four-vertex theorem

Summary

four-vertex theorem is a theorem[1]. It draws 17 Wikipedia views per month (theorem category, ranking #265 of 1,306).[2]

Key Facts

  • four-vertex theorem's instance of is recorded as theorem[3].
  • four-vertex theorem's part of is recorded as list of theorems[4].
  • four-vertex theorem's Freebase ID is recorded as /m/0c7ggc[5].
  • four-vertex theorem's facet of is recorded as geometry[6].
  • four-vertex theorem's facet of is recorded as curve[7].
  • four-vertex theorem's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • four-vertex theorem's Microsoft Academic ID is recorded as 112726858[9].

Why It Matters

four-vertex theorem draws 17 Wikipedia views per month (theorem category, ranking #265 of 1,306).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[10]

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). four-vertex theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/four-vertex-theorem
MLA “four-vertex theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/four-vertex-theorem.
BibTeX @misc{4ortxyz_four-vertex-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{four-vertex theorem}}, year = {2026}, url = {https://4ort.xyz/entity/four-vertex-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): four-vertex theorem — https://4ort.xyz/entity/four-vertex-theorem (retrieved 2026-05-03)

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