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regular pentachoron

polychoron with four regular tetrahedron
Class type of: 4-simplex, convex regular polychoron, pentatope Q11545351

Facts

10 properties
Instance of
4-polytope
Follows
regular tetrahedron[2]
Followed by
5-simplex[3]
Subclass of
4-simplex, convex regular polychoron, pentatope, pentachoron[4][5][6][7]
Different from
4-simplex, pentachoron[11][12]
Dual to
regular pentachoron[9]
Has facet polytope
regular tetrahedron[8]
Has part(s) of the class
vertex, edge, face, cell[13][14][15][16]
Has vertex figure
regular tetrahedron[10]
Schläfli symbol
{3,3,3}[17]
🏷️ Also known as
en regular 5-cell ja 正五胞体 zh 正五胞體
🔖 Identifiers · 2
Image (Wikimedia Commons)
Schlegel wireframe 5-cell.png ↗
Google Knowledge Graph ID
/g/1230c_sj

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Summary

regular pentachoron is a 4-polytope[1].

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] ↑ . 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.

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). regular pentachoron. Retrieved November 2, 2026, from https://4ort.xyz/entity/regular-5-cell
MLA “regular pentachoron.” 4ort.xyz Knowledge Graph, 4ort.xyz, 2 Nov. 2026, https://4ort.xyz/entity/regular-5-cell.
BibTeX @misc{4ortxyz_regular-5-cell_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{regular pentachoron}}, year = {2026}, url = {https://4ort.xyz/entity/regular-5-cell}, note = {Accessed: 2026-11-02}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): regular pentachoron — https://4ort.xyz/entity/regular-5-cell (retrieved 2026-11-02)

Canonical URL: https://4ort.xyz/entity/regular-5-cell · 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. 4w ago · MsynBot bot · 2026-10-02 view diff on Wikidata ↗
    Sitelink count → 8
    Wikipedia languages → ['bg', 'cs', 'en', 'eo', 'fr', 'ja', 'ko', 'zh']
    Wikipedia title → Regular pentachoron
    Claims rich → —
    + 1 other property edited (see Wikidata diff for full list)
    "/* wbeditentity-update:0| */ add badge sitelink to redirect to enwiki sitelink; see [[Wikidata:Sitelinks to redirects]] for details #msynbotTask10"
  2. 7w ago · A2569875 · 2026-09-14 view diff on Wikidata ↗
    Subclass of → 4-simplex, convex regular polychoron, pentatope +1
    "/* wbsetclaim-create:2||1 */ Subclass of: pentachoron"
  3. 9w ago · A2569875 · 2026-09-03 view diff on Wikidata ↗
    Different from → 4-simplex, pentachoron
    "/* wbsetclaim-create:2||1 */ Different from: pentachoron"
  4. 9w ago · A2569875 · 2026-09-03 view diff on Wikidata ↗
    Subclass of → 4-simplex, convex regular polychoron, pentatope +1
    "/* wbsetclaim-create:2||1 */ Subclass of: pentatope"
  5. 9w ago · A2569875 · 2026-09-03 view diff on Wikidata ↗
    Has facet polytope → regular tetrahedron
    Has part(s) of the class → vertex, edge, face +1
    Has vertex figure → regular tetrahedron
    Video → 5-cell.ogv
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbremoveclaims-remove:1| */ Dual to: regular pentachoron"
  6. 9w ago · A2569875 · 2026-09-03 view diff on Wikidata ↗
    Different from → 4-simplex, pentachoron
    Subclass of → 4-simplex, convex regular polychoron, pentatope +1
    Has part(s) of the class → vertex, edge, face +1
    Schläfli symbol → {3,3,3}
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ Has part(s) of the class: vertex"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.