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cuboctahedron

archimedean solid
Class type of: Archimedean solid, tetradecahedron, gyrobicupolae Q847941

Facts

15 properties
Instance of
type of polytope up to abstract equivalence, type of polytope up to similarity[5]
Subclass of
Archimedean solid, tetradecahedron, gyrobicupolae
Base
equilateral triangle[17]
Conway polyhedron notation
aC, aaT[19][20]
Depicted by
cuboctahedral graph[6]
Dual to
rhombic dodecahedron[9]
Has characteristic
Rupert property[10]
Has facet polytope
square, equilateral triangle[7][8]
Has part(s) of the class
vertex, edge, face[12][13][14]
Has vertex figure
rectangle[11]
Image harvest run
pdhero-20261109T082225Z
Image last checked license
CC BY 4.0
Image unavailable reason
no_pd_license
Maintained by WikiProject
WikiProject Mathematics[18]
Schläfli symbol
r{4,3}, rr{3,3}[15][16]
🏷️ Also known as
en cuboctahedron en Dymaxion en heptaparallelohedron en Vector Equilibrium en triangular gyrobicupola en rhombitetratetrahedron en rectified octahedron en rectified cube en cantellated tetrahedron ar ذو وجوه مكعبي ثماني ar ذو الوجوه المكعبي الثماني ar مقطوع المكعب الثماني de Kubooktaeder de Kuboktaeder de Cuboctaedron de Kubo-Oktaeder el Κυβοκτάεδρο es Girobicúpula triangular es Girobicupula hexagonal es cuboctaedro
🔖 Identifiers · 12
Image (Wikimedia Commons)
Cuboctahedron (green).png ↗
BabelNet ID
03470358n
Bowers acronym
co
De Agostini ID
cubottaèdro
Freebase ID
/m/01vz2
Lexikon der Mathematik entry ID
769
MathWorld ID
Cuboctahedron
Microsoft Academic ID (discontinued)
2779379766
Pixiv Encyclopedia ID
立方八面体
Treccani Vocabulary ID
cubottaedro
Treccani's Dizionario delle Scienze Fisiche ID
cubottaedro
Treccani's Enciclopedia della Matematica ID
cubottaedro

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

🔗 Connections
Subclass of 4
Archimedean solid, uniform polyhedron, tetradecahedron, bicupola
Has part(s) of the class 3
vertex, edge, face
Has facet polytope 2
square, equilateral triangle
Base 1
equilateral triangle
Dual to 1
rhombic dodecahedron
Has vertex figure 1
rectangle
Instance of 1
polyhedron
Maintained by WikiProject 1
WikiProject Mathematics
← Dual to 1
rhombic dodecahedron
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Summary

cuboctahedron is a type of polytope up to abstract equivalence[1]. cuboctahedron is a type of Archimedean solid[2], tetradecahedron[3], and gyrobicupolae[4].

References

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

Direct Wikidata claims

  1. [5] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . 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.
  17. [18] ↑ . wikidata.org.
  18. [19] ↑ . wikidata.org.
  19. [20] ↑ . 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). cuboctahedron. Retrieved November 8, 2026, from https://4ort.xyz/entity/cuboctahedron
MLA “cuboctahedron.” 4ort.xyz Knowledge Graph, 4ort.xyz, 8 Nov. 2026, https://4ort.xyz/entity/cuboctahedron.
BibTeX @misc{4ortxyz_cuboctahedron_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{cuboctahedron}}, year = {2026}, url = {https://4ort.xyz/entity/cuboctahedron}, note = {Accessed: 2026-11-08}}
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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. 4d ago · YoshiRulz · 2026-11-04 view diff on Wikidata ↗
    "Changed claim: Instance of: type of polytope up to similarity"
  2. 4d ago · YoshiRulz · 2026-11-04 view diff on Wikidata ↗
    Subclass of → Archimedean solid, tetradecahedron, gyrobicupolae
    "Changed claim: Subclass of: gyrobicupolae"
  3. 4d ago · YoshiRulz · 2026-11-04 view diff on Wikidata ↗
    Subclass of → Archimedean solid, tetradecahedron, gyrobicupolae
    "Removed claim: Subclass of: uniform polyhedron"
  4. 4d ago · YoshiRulz · 2026-11-04 view diff on Wikidata ↗
    Instance of → type of polytope up to abstract equivalence, type of polytope up to similarity
    "Created claim: Instance of: type of polytope up to similarity"
  5. 4d ago · YoshiRulz · 2026-11-04 view diff on Wikidata ↗
    Instance of → type of polytope up to abstract equivalence, type of polytope up to similarity
    "Changed claim: Instance of: type of polytope up to abstract equivalence"
  6. 5d ago · Infovarius · 2026-11-03 view diff on Wikidata ↗
    Instance of → type of polytope up to abstract equivalence, type of polytope up to similarity
    "Created claim: Instance of: type of polyhedron, batch #293780"
  7. 6d ago · YoshiRulz · 2026-11-02 view diff on Wikidata ↗
    Subclass of → Archimedean solid, tetradecahedron, gyrobicupolae
    Has vertex figure → rectangle
    Depicted by → cuboctahedral graph
    Maintained by WikiProject → WikiProject Mathematics
    + 6 other properties edited (see Wikidata diff for full list)
    "Created claim: Has characteristic: Rupert property"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.