icosahedral graph

polyhedral graph of the icosahedron, with 12 vertices and 30 edges
Thing platonic_graph Q3115573
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icosahedral graph

Summary

icosahedral graph is a Platonic graph[1].

Key Facts

  • icosahedral graph's image is recorded as Icosahedron graph.svg[2].
  • icosahedral graph's instance of is recorded as Platonic graph[3].
  • icosahedral graph's instance of is recorded as distance-regular graph[4].
  • icosahedral graph's instance of is recorded as integral graph[5].
  • icosahedral graph's instance of is recorded as maximal planar graph[6].
  • icosahedral graph's instance of is recorded as unit distance graph[7].
  • icosahedral graph's instance of is recorded as claw-free graph[8].
  • icosahedral graph's instance of is recorded as quintic graph[9].
  • regular icosahedron is named after icosahedral graph[10].
  • icosahedral graph's depicts is recorded as regular icosahedron[11].
  • icosahedral graph's Commons category is recorded as Icosahedral graph[12].
  • icosahedral graph's dual to is recorded as dodecahedral graph[13].
  • icosahedral graph's studied by is recorded as graph theory[14].
  • icosahedral graph's has part is recorded as node[15].
  • icosahedral graph's has part is recorded as edge[16].
  • icosahedral graph's Google Knowledge Graph ID is recorded as /g/121m7kg6[17].
  • icosahedral graph's MathWorld ID is recorded as IcosahedralGraph[18].
  • icosahedral graph's Wolfram Language entity code is recorded as Entity["Graph", "IcosahedralGraph"][19].
  • icosahedral graph's maintained by WikiProject is recorded as WikiProject Mathematics[20].
  • icosahedral graph's graph radius is recorded as {'unit': '1', 'amount': '+3'}[21].
  • icosahedral graph's graph diameter is recorded as {'unit': '1', 'amount': '+3'}[22].
  • icosahedral graph's graph girth is recorded as {'unit': '1', 'amount': '+3'}[23].
  • icosahedral graph's The House of Graphs ID is recorded as 1186[24].

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] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . House of Graphs. wikidata.org.
  8. [9] . House of Graphs. 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.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. 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). icosahedral graph. Retrieved May 3, 2026, from https://4ort.xyz/entity/icosahedral-graph
MLA “icosahedral graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/icosahedral-graph.
BibTeX @misc{4ortxyz_icosahedral-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{icosahedral graph}}, year = {2026}, url = {https://4ort.xyz/entity/icosahedral-graph}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): icosahedral graph — https://4ort.xyz/entity/icosahedral-graph (retrieved 2026-05-03)

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