octahedral graph

polyhedral graph of the octahedron, with 6 vertices and 12 edges
Thing platonic_graph Q3115589
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octahedral graph

Summary

octahedral graph is a Platonic graph[1]. It is known by 12 alternative names across languages and contexts.[2]

Key Facts

  • octahedral graph's instance of is recorded as Platonic graph[3].
  • octahedral graph's instance of is recorded as integral graph[4].
  • octahedral graph's instance of is recorded as strongly regular graph[5].
  • octahedral graph's instance of is recorded as perfect graph[6].
  • octahedral graph's instance of is recorded as distance-regular graph[7].
  • octahedral graph's instance of is recorded as planar graph[8].
  • octahedral graph's instance of is recorded as antiprism graph[9].
  • octahedral graph's instance of is recorded as Johnson graph[10].
  • octahedral graph's instance of is recorded as quartic graph[11].
  • octahedral graph's instance of is recorded as balanced complete multipartite graph[12].
  • octahedral graph's instance of is recorded as generalized wheel graph[13].
  • octahedral graph's instance of is recorded as antipodal graph[14].
  • octahedral graph's instance of is recorded as unigraph[15].
  • octahedral graph's instance of is recorded as tripartite graph[16].
  • octahedral graph's instance of is recorded as maximal planar graph[17].
  • regular octahedron is named after octahedral graph[18].
  • octahedral graph's facet of is recorded as regular octahedron[19].
  • octahedral graph's studied by is recorded as graph theory[20].
  • octahedral graph's has part is recorded as node[21].
  • octahedral graph's has part is recorded as edge[22].
  • octahedral graph's maintained by WikiProject is recorded as WikiProject Mathematics[23].
  • octahedral graph's graph radius is recorded as {'amount': '+2'}[24].
  • octahedral graph's graph diameter is recorded as {'amount': '+2'}[25].
  • octahedral graph's graph girth is recorded as {'amount': '+3'}[26].

Body

Definition and Type

Recorded instance of include Platonic graph[3], integral graph[4], strongly regular graph[5], perfect graph[6], distance-regular graph[7], and planar graph[8].

Origins

regular octahedron is named after octahedral graph[18].

Why It Matters

octahedral graph is known by 12 alternative names across languages and contexts.[2]

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] ↑ . 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.
  19. [21] ↑ . wikidata.org.
  20. [22] ↑ . wikidata.org.
  21. [23] ↑ . wikidata.org.
  22. [24] ↑ . wikidata.org.
  23. [25] ↑ . wikidata.org.
  24. [26] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . 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). octahedral graph. Retrieved October 7, 2026, from https://4ort.xyz/entity/octahedral-graph
MLA “octahedral graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 Oct. 2026, https://4ort.xyz/entity/octahedral-graph.
BibTeX @misc{4ortxyz_octahedral-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{octahedral graph}}, year = {2026}, url = {https://4ort.xyz/entity/octahedral-graph}, note = {Accessed: 2026-10-07}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): octahedral graph — https://4ort.xyz/entity/octahedral-graph (retrieved 2026-10-07)

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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. 9h ago · Dexxor · 2026-10-07 view diff on Wikidata ↗
    Graph radius → {'amount': '+2'}
    The house of graphs id → 226
    Imported from → —
    Wikipedia languages → ['en', 'fr', 'sl']
    + 15 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/58239|batch #58239]]: graph being Eulerian is implied by graph being quartic"
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