Hopf link

prime link; simplest nontrivial link
Thing prime_link Q864313
Hopf link
Jim.belk · Public Domain · Wikimedia
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Hopf link

Summary

Hopf link is a prime link[1]. It draws 50 Wikipedia views per month (prime_link category, ranking #2 of 3).[2]

Key Facts

  • Hopf link's image is recorded as Hopf Link.png[3].
  • Hopf link's instance of is recorded as prime link[4].
  • Hopf link's instance of is recorded as mathematical concept[5].
  • Heinz Hopf is named after Hopf link[6].
  • Hopf link's Commons category is recorded as Hopf links[7].
  • Hopf link's Freebase ID is recorded as /m/0577l_[8].
  • Hopf link's MathWorld ID is recorded as HopfLink[9].
  • Hopf link's nLab ID is recorded as Hopf link[10].
  • Hopf link's 3D model is recorded as Hopf-Verschlingung 20230214 001.stl[11].
  • Hopf link's Jones polynomial is recorded as -\frac{1}{\sqrt{q}}-\frac{1}{q^{5/2}}[12].
  • Hopf link's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Hopf link's Microsoft Academic ID is recorded as 2779223471[14].
  • Hopf link's Alexander–Briggs notation is recorded as 2^2_1[15].
  • Hopf link's Knot Atlas ID is recorded as L2a1[16].
  • Hopf link's Gauss notation is recorded as {1, -2}, {2, -1}[17].
  • Hopf link's crossing number is recorded as {'amount': '+2'}[18].

Why It Matters

Hopf link draws 50 Wikipedia views per month (prime_link category, ranking #2 of 3).[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[19] It is known by 6 alternative names across languages and contexts.[20]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . Thistlethwaite Link Table. wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . Freebase Data Dumps. wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . The Knot Atlas. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . The Knot Atlas. wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . Wikidata sitelinks. wikidata.org.
  3. [20] . 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). Hopf link. Retrieved May 3, 2026, from https://4ort.xyz/entity/hopf-link
MLA “Hopf link.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/hopf-link.
BibTeX @misc{4ortxyz_hopf-link_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hopf link}}, year = {2026}, url = {https://4ort.xyz/entity/hopf-link}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hopf link — https://4ort.xyz/entity/hopf-link (retrieved 2026-05-03)

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