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abstract polytope

algebraic partially ordered set or poset which captures the combinatorial properties of a traditional polytope, but not any purely geometric properties such as angles, edge lengths, etc
Class type of: partially ordered set Q4669958

Facts

3 properties
Subclass of
partially ordered set
Facet of
Wikidata item, Wikidata item[2][3]
Studied by
solid geometry[4]
🏷️ Also known as
en error-n-tope en abstract polytope ar متعدد أكناف مجرد ar متعدد اكناف مجرد es politopo abstracto fr polytope abstrait hu absztrakt politóp ja 抽象超多面体 ja 抽象ポリトープ ja 抽象多面体 ko 추상 폴리토프 pt Politopo abstrato ro politop abstract ru абстрактный многогранник uk абстрактний багатогранник zh 抽像多胞形 zh 抽象多胞形 zh 抽象多面體
🔖 Identifiers · 6
Image (Wikimedia Commons)
Pyramid abstract polytope.svg ↗
BabelNet ID
00352532n
Freebase ID
/m/04hmct
Microsoft Academic ID (discontinued)
102508550
Miraheze article ID
polytope:Abstract polytope
Stack Exchange tag
mathoverflow.net

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

🔗 Connections
Subclass of 2
faithful finite polytope, partially ordered set
Studied by 1
solid geometry
Subtypes 1
57-cell
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Summary

abstract polytope is a type of partially ordered set[1].

References

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

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . 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). abstract polytope. Retrieved November 4, 2026, from https://4ort.xyz/entity/abstract-polytope
MLA “abstract polytope.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Nov. 2026, https://4ort.xyz/entity/abstract-polytope.
BibTeX @misc{4ortxyz_abstract-polytope_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{abstract polytope}}, year = {2026}, url = {https://4ort.xyz/entity/abstract-polytope}, note = {Accessed: 2026-11-04}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): abstract polytope — https://4ort.xyz/entity/abstract-polytope (retrieved 2026-11-04)

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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. 1d ago · YoshiRulz · 2026-11-04 view diff on Wikidata ↗
    Claims rich → —
    "/* wbsetclaim-update:2||1|1 */ Miraheze article ID: polytope:Abstract polytope"
  2. 1d ago · YoshiRulz · 2026-11-04 view diff on Wikidata ↗
    Miraheze article ID → polytope:Abstract polytope
    Claims rich → —
    "/* wbsetclaim-create:2||1 */ Miraheze article ID: polytope:Abstract polytope"
  3. 1d ago · YoshiRulz · 2026-11-04 view diff on Wikidata ↗
    Facet of → Wikidata item, Wikidata item
    Claims rich → —
    "/* wbsetclaim-update:2||1 */ Facet of: Wikidata item"
  4. 3d ago · YoshiRulz · 2026-11-02 view diff on Wikidata ↗
    Subclass of → partially ordered set
    Claims rich → —
    "/* wbsetclaim-create:2||1 */ Facet of: Wikidata item"
  5. 3d ago · YoshiRulz · 2026-11-02 view diff on Wikidata ↗
    Subclass of → partially ordered set
    Subclass of → —
    Wikipedia languages → ['commons', 'en', 'es', 'fr', 'ko', 'ru', 'sl', 'uk']
    Facet of → Wikidata item, Wikidata item
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ Facet of: faithful finite polytope"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.