Conway knot

prime knot with 11 crossings named for John Horton Conway
Intangible prime_knot Q94806552
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Conway knot

Summary

Conway knot is a prime knot[1]. It draws 43 Wikipedia views per month (prime_knot category, ranking #4 of 10).[2]

Key Facts

  • Conway knot's image is recorded as Conway knot.png[3].
  • Conway knot's image is recorded as Gateknot.jpg[4].
  • Conway knot's instance of is recorded as prime knot[5].
  • Conway knot's instance of is recorded as knot[6].
  • John Horton Conway is named after Conway knot[7].
  • Conway knot's Commons category is recorded as Conway knot[8].
  • Conway knot's solved by is recorded as Lisa Piccirillo[9].
  • Conway knot's described by source is recorded as The Conway knot is not slice[10].
  • Conway knot's Google Knowledge Graph ID is recorded as /g/11j6jf_r1q[11].
  • Conway knot's MathWorld ID is recorded as ConwaysKnot[12].
  • Conway knot's Alexander polynomial is recorded as 1[13].
  • Conway knot's Conway polynomial is recorded as 1[14].
  • Conway knot's Jones polynomial is recorded as -q^{4}+2q^{3}-2q^{2}+2q+q^{-2}-2q^{-3}+2q^{-4}-2q^{-5}+q^{-6}[15].
  • Conway knot's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • Conway knot's Dowker-Thistlethwaite notation is recorded as 4, 8, 12, 2, -16, -18, 6, -20, -22, -14, -10[17].
  • Conway knot's Dowker-Thistlethwaite name is recorded as 11n_{34}[18].
  • Conway knot's Knot Atlas ID is recorded as K11n34[19].
  • Conway knot's Knotinfo ID is recorded as 11n_34[20].
  • Conway knot's Gauss notation is recorded as {-1, 2, -3, 1, -4, 5, -2, 3, 6, -7, 8, 4, -5, -9, 10, -6, 11, -8, 9, -10, 7, -11}[21].
  • Conway knot's crossing number is recorded as {'amount': '+11'}[22].

Why It Matters

Conway knot draws 43 Wikipedia views per month (prime_knot category, ranking #4 of 10).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[23] It is known by 7 alternative names across languages and contexts.[24]

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] . KnotInfo. Retrieved . wikidata.org.
  4. [6] . Retrieved . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . quantamagazine.org. quantamagazine.org. Provenance: wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . KnotInfo. Retrieved . wikidata.org.
  12. [14] . KnotInfo. Retrieved . wikidata.org.
  13. [15] . KnotInfo. Retrieved . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . KnotInfo. Retrieved . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [23] . Wikidata sitelinks. wikidata.org.
  3. [24] . 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). Conway knot. Retrieved May 3, 2026, from https://4ort.xyz/entity/conway-knot
MLA “Conway knot.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/conway-knot.
BibTeX @misc{4ortxyz_conway-knot_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Conway knot}}, year = {2026}, url = {https://4ort.xyz/entity/conway-knot}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Conway knot — https://4ort.xyz/entity/conway-knot (retrieved 2026-05-03)

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