torus knot

knot which lies on the surface of a torus in 3-dimensional space
Thing general Q1892897
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torus knot

Summary

torus knot ranks in the top 2% of general entities by monthly Wikipedia readership (176 views/month).[1]

Key Facts

  • torus knot's image is recorded as (3-2) torus knot.png[2].
  • torus knot's subclass of is recorded as prime knot[3].
  • torus knot's subclass of is recorded as chiral knot[4].
  • torus knot's Freebase ID is recorded as /m/04crmh[5].
  • torus knot's topic's main category is recorded as Category:Torus knots and links[6].
  • torus knot's different from is recorded as satellite knot[7].
  • torus knot's different from is recorded as hyperbolic link[8].
  • torus knot's defining formula is recorded as x = r\cos(p \phi) , y = r\sin{(p\phi)}, z = -\sin{(q\phi)}[9].
  • torus knot's MathWorld ID is recorded as TorusKnot[10].
  • torus knot's nLab ID is recorded as torus knot[11].
  • torus knot's 3D model is recorded as Torus knot 1.stl[12].
  • torus knot's 3D model is recorded as Torus knot 2.stl[13].
  • torus knot's 3D model is recorded as Torus knot 3.stl[14].
  • torus knot's maintained by WikiProject is recorded as WikiProject Mathematics[15].
  • torus knot's Microsoft Academic ID is recorded as 2778617330[16].
  • torus knot's Microsoft Academic ID is recorded as 2780984274[17].

Why It Matters

torus knot ranks in the top 2% of general entities by monthly Wikipedia readership (176 views/month).[1] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[18] It is known by 5 alternative names across languages and contexts.[19]

References

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

Direct Wikidata claims

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

Aggregate / graph-position facts

  1. [1] ↑ . 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). torus knot. Retrieved October 5, 2026, from https://4ort.xyz/entity/torus-knot
MLA “torus knot.” 4ort.xyz Knowledge Graph, 4ort.xyz, 5 Oct. 2026, https://4ort.xyz/entity/torus-knot.
BibTeX @misc{4ortxyz_torus-knot_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{torus knot}}, year = {2026}, url = {https://4ort.xyz/entity/torus-knot}, note = {Accessed: 2026-10-05}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): torus knot — https://4ort.xyz/entity/torus-knot (retrieved 2026-10-05)

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