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Degen's eight-square identity

theorem
Intangible theorem Q1187196
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Degen's eight-square identity

Summary

Degen's eight-square identity is a theorem[1]. It draws 19 Wikipedia views per month (theorem category, ranking #259 of 1,306).[2]

Key Facts

  • Degen's eight-square identity's instance of is recorded as theorem[3].
  • Karl Ferdinand Degen is named after Degen's eight-square identity[4].
  • Degen's eight-square identity's time of discovery or invention is recorded as +1818-00-00T00:00:00Z[5].
  • Degen's eight-square identity's Freebase ID is recorded as /m/0cyc69[6].
  • Degen's eight-square identity's defining formula is recorded as (A^2+B^2+C^2+D^2+E^2+F^2+G^2+H^2)(a^2+b^2+c^2+d^2+e^2+f^2+g^2+h^2)=(Aa-Bb-Cc-Dd-Ee-Ff-Gg-Hh)^2+(Ab+Ba+Cd-Dc+Ef-Fe-Gh+Hg)^2+(Ac-Bd+Ca+Db+Eg+Fh-Ge-Hf)^2+(Ad+Bc-Cb+Da+Eh-Fg+Gf-He)^2+(Ae-Bf-Cg-Dh+Ea+Fb+Gc+Hd)^2+(Af+Be-Ch+Dg-Eb+Fa-Gd+Hc)^2+(Ag+Bh+Ce-Df-Ec+Fd+Ga-Hb)^2+(Ah-Bg+Cf+De-Ed-Fc+Gb+Ha)^2[7].
  • Degen's eight-square identity's MathWorld ID is recorded as DegensEight-SquareIdentity[8].
  • Degen's eight-square identity's maintained by WikiProject is recorded as WikiProject Mathematics[9].

Why It Matters

Degen's eight-square identity draws 19 Wikipedia views per month (theorem category, ranking #259 of 1,306).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[10]

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] ↑ . Freebase Data Dumps. wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . Wikidata sitelinks. 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). Degen's eight-square identity. Retrieved May 3, 2026, from https://4ort.xyz/entity/degen-s-eight-square-identity
MLA “Degen's eight-square identity.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/degen-s-eight-square-identity.
BibTeX @misc{4ortxyz_degen-s-eight-square-identity_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Degen's eight-square identity}}, year = {2026}, url = {https://4ort.xyz/entity/degen-s-eight-square-identity}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Degen's eight-square identity — https://4ort.xyz/entity/degen-s-eight-square-identity (retrieved 2026-05-03)

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