Gabriel's Horn

infinite surface of revolution with infinite surface area enclosing a finite volume, which contributed to 17th century debate on the nature of infinity
Intangible mathematical_concept Q723694
Gabriel's Horn
RokerHRO · Public Domain · Wikimedia
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Gabriel's Horn

Summary

Gabriel's Horn is a mathematical concept[1]. It ranks in the top 4% of mathematical_concept entities by monthly Wikipedia readership (502 views/month).[2]

Key Facts

  • Gabriel's Horn's image is recorded as GabrielHorn.png[3].
  • Gabriel's Horn's instance of is recorded as mathematical concept[4].
  • Gabriel is named after Gabriel's Horn[5].
  • Gabriel's Horn's subclass of is recorded as solid figure[6].
  • Gabriel's Horn's subclass of is recorded as submanifold[7].
  • Gabriel's Horn's subclass of is recorded as solid of revolution[8].
  • Gabriel's Horn's Commons category is recorded as Gabriel's horn[9].
  • Gabriel's Horn's Freebase ID is recorded as /m/01x16j[10].
  • Gabriel's Horn's has characteristic is recorded as pathological[11].
  • Gabriel's Horn's volume as quantity is recorded as {'amount': '+3.14159265358979'}[12].
  • Gabriel's Horn's defining formula is recorded as \frac1{x^2+y^2}=z\ge1[13].
  • Gabriel's Horn's MathWorld ID is recorded as GabrielsHorn[14].
  • Gabriel's Horn's JSTOR topic ID is recorded as gabriels-horn[15].
  • Gabriel's Horn's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • Gabriel's Horn's Microsoft Academic ID is recorded as 188461311[17].

Why It Matters

Gabriel's Horn ranks in the top 4% of mathematical_concept entities by monthly Wikipedia readership (502 views/month).[2] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[18] It is known by 37 alternative names across languages and contexts.[19]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . Freebase Data Dumps. wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . Wikidata aliases. wikidata.org.

📑 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). Gabriel's Horn. Retrieved May 3, 2026, from https://4ort.xyz/entity/gabriel-s-horn
MLA “Gabriel's Horn.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/gabriel-s-horn.
BibTeX @misc{4ortxyz_gabriel-s-horn_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Gabriel's Horn}}, year = {2026}, url = {https://4ort.xyz/entity/gabriel-s-horn}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Gabriel's Horn — https://4ort.xyz/entity/gabriel-s-horn (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/gabriel-s-horn · Last refreshed: