permutohedron

polytope whose vertex coordinates are permutations of the vector (1,2,3,...n)
Thing polytope_family Q1710083
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permutohedron

Summary

permutohedron is a polytope family[1]. permutohedron draws 73 Wikipedia views per month (polytope_family category, ranking #4 of 7).[2]

Key Facts

  • permutohedron is credited with the discovery of Pieter Hendrik Schoute[3].
  • permutohedron's image is recorded as Permutohedron.svg[4].
  • permutohedron's image is recorded as Permutohedron of S3 with permutation results as coordinates; triangles.svg[5].
  • permutohedron's image is recorded as Permutohedron order 2.svg[6].
  • permutohedron's image is recorded as Omnitruncated 5Cell as Permutohedron.svg[7].
  • permutohedron's image is recorded as Omnitruncated Hexateron as Permutohedron.svg[8].
  • permutohedron's instance of is recorded as polytope family[9].
  • permutohedron's subclass of is recorded as isogonal figure[10].
  • permutohedron's subclass of is recorded as zonotope[11].
  • permutohedron's subclass of is recorded as integral polytope[12].
  • permutohedron's Commons category is recorded as Permutohedra[13].
  • permutohedron's time of discovery or invention is recorded as +1911-00-00T00:00:00Z[14].
  • permutohedron's Freebase ID is recorded as /m/02x30jz[15].
  • permutohedron's studied by is recorded as geometric combinatorics[16].
  • permutohedron's MathWorld ID is recorded as Permutohedron[17].
  • permutohedron's 3D model is recorded as Chamfered cube.stl[18].
  • permutohedron's maintained by WikiProject is recorded as WikiProject Mathematics[19].
  • permutohedron's Microsoft Academic ID is recorded as 152303604[20].

Body

Works and Contributions

permutohedron is credited with the discovery of Pieter Hendrik Schoute[3].

Why It Matters

permutohedron draws 73 Wikipedia views per month (polytope_family category, ranking #4 of 7).[2] permutohedron is known by 5 alternative names across languages and contexts.[21]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [6] . wikidata.org.
  4. [7] . wikidata.org.
  5. [8] . wikidata.org.
  6. [9] . wikidata.org.
  7. [3] . 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.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . 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). permutohedron. Retrieved May 3, 2026, from https://4ort.xyz/entity/permutohedron
MLA “permutohedron.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/permutohedron.
BibTeX @misc{4ortxyz_permutohedron_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{permutohedron}}, year = {2026}, url = {https://4ort.xyz/entity/permutohedron}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): permutohedron — https://4ort.xyz/entity/permutohedron (retrieved 2026-05-03)

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