octonion

non-commutative, non-associative algebra of numbers with eight real components
Thing alternative_algebra Q743418
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octonion

Summary

octonion is an alternative algebra[1]. octonion draws 977 Wikipedia views per month (alternative_algebra category, ranking #1 of 2).[2]

Key Facts

  • octonion is credited with the discovery of John T. Graves[3].
  • octonion's instance of is recorded as alternative algebra[4].
  • octonion's instance of is recorded as octonion algebra[5].
  • octonion followed quaternion[6].
  • octonion was followed by sedenion[7].
  • octonion is a type of 8-tuple[8].
  • octonion is a type of 4-tuple[9].
  • octonion is a type of ordered pair[10].
  • octonion is a type of sedenion[11].
  • octonion is a type of hypercomplex number[12].
  • octonion is part of octonion algebra[13].
  • octonion's Commons category is recorded as Octonions[14].
  • octonion comprises quaternion[15].
  • octonion's time of discovery or invention is recorded as 1843[16].
  • octonion's topic's main category is recorded as Category:Octonions[17].
  • octonion's Stack Exchange tag is recorded as https://mathoverflow.net/tags/octonions[18].
  • octonion's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/octonions[19].
  • octonion's maintained by WikiProject is recorded as WikiProject Mathematics[20].

Body

Definition and Type

Recorded instance of include alternative algebra[4] and octonion algebra[5]. Recorded subclass of include 8-tuple[8], 4-tuple[9], ordered pair[10], sedenion[11], and hypercomplex number[12].

Use and Application

octonion comprises quaternion[15]. octonion is part of octonion algebra[13].

Why It Matters

octonion draws 977 Wikipedia views per month (alternative_algebra category, ranking #1 of 2).[2] octonion has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[21] octonion is known by 31 alternative names across languages and contexts.[22]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [3] . MacTutor History of Mathematics archive. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . 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.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . Wikidata sitelinks. wikidata.org.
  3. [22] . 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). octonion. Retrieved May 3, 2026, from https://4ort.xyz/entity/octonion
MLA “octonion.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/octonion.
BibTeX @misc{4ortxyz_octonion_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{octonion}}, year = {2026}, url = {https://4ort.xyz/entity/octonion}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): octonion — https://4ort.xyz/entity/octonion (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/octonion · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 7d ago · Twofivesixbot bot · 2026-05-26 view diff on Wikidata ↗
    Discoverer or inventor John T. Graves
    Part of
    Has part(s) quaternion
    Follows
    + 12 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ [[Property:P8189]]: 987007558916605171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.