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rectified 5-cell

uniform polychoron
Class type of: A4 polytope, uniform k₂₁ polytope, rectification Q7303156

Facts

6 properties
Instance of
4-polytope
Subclass of
A4 polytope, uniform k₂₁ polytope, rectification, semiregular polytope, isotoxal figure[3][4][5][6][7]
Discoverer or inventor
Thorold Gosset[2]
Has facet polytope
regular tetrahedron, regular octahedron[9][10]
Has part(s) of the class
vertex, edge, face, cell[11][12][13][14]
Time of discovery or invention
1900[8]
🏷️ Also known as
en ambopentachoron en dispentachoron en rectified 4-simplex en rectified 5-cell en rectified pentachoron en tetroctahedric es 5 celdas rectificadas es 5-cell rectificado es hipertetraedro rectificado es pentacoron rectificado es pentácoron rectificado es pentacoro rectificado es pentácoro rectificado es pentatopo rectificado fr pentachore rectifié ru Полностью усечённый 5-ячейник uk Повністю усічений 5-ячейник zh 截半正五胞体
🔖 Identifiers · 1
Freebase ID
/m/07zxj0

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Has part(s) of the class 4
vertex, edge, face, cell
Subclass of 3
isotoxal figure, rectification, semiregular polytope
Has facet polytope 2
regular octahedron, regular tetrahedron
Discoverer or inventor 1
Thorold Gosset
Instance of 1
4-polytope
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Summary

rectified 5-cell 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.

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). rectified 5-cell. Retrieved November 4, 2026, from https://4ort.xyz/entity/rectified-5-cell
MLA “rectified 5-cell.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Nov. 2026, https://4ort.xyz/entity/rectified-5-cell.
BibTeX @misc{4ortxyz_rectified-5-cell_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{rectified 5-cell}}, year = {2026}, url = {https://4ort.xyz/entity/rectified-5-cell}, note = {Accessed: 2026-11-04}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): rectified 5-cell — https://4ort.xyz/entity/rectified-5-cell (retrieved 2026-11-04)

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