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truncated octahedron

Archimedean solid
Class type of: Archimedean solid, tetradecahedron, parallelohedron Q864998

Facts

10 properties
Instance of
type of polytope up to abstract equivalence, type of polytope up to similarity[6]
Subclass of
Archimedean solid, tetradecahedron, parallelohedron, permutohedron
Conway polyhedron notation
tO, bT[19][20]
Depicted by
truncated octahedral graph[7]
Dual to
tetrakis hexahedron[10]
Has characteristic
area, Rupert property[11][12]
Has facet polytope
square, regular hexagon[8][9]
Has part(s) of the class
vertex, edge, face[13][14][15]
Maintained by WikiProject
WikiProject Mathematics[18]
Schläfli symbol
t{3,4}, tr{3,3}[16][17]
🏷️ Also known as
en truncated octahedron en Archimedes' tetrakaidecahedron en Kelvin's polyhedron en Kelvin's tetrakaidecahedron en mecon ar ثماني وجوه مبتور de abgestumpftes Oktaeder de Octaedron truncum de Oktaederstumpf el κόλουρο οκτάεδρο es poliedro de Kelvin es octaedro truncado es tetracaidecaedro es tetracaidecaedro de Arquimedes es tetracaidecaedro de Arquímedes fa هشت‌وجهی بریده‌شده fr octaedre tronque fr octaèdre tronqué fr tétrakaidécaèdre d'Archimède he אוקטהדרון קטום
🔖 Identifiers · 8
Image (Wikimedia Commons)
Truncated octahedron (green).png ↗
BabelNet ID
02157697n
Bowers acronym
toe
Freebase ID
/m/01pmx1
MathWorld ID
TruncatedOctahedron
Microsoft Academic ID (discontinued)
2780043710
Pixiv Encyclopedia ID
切頂八面体
Treccani's Enciclopedia della Matematica ID
ottaedro-troncato

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

🔗 Connections
Subclass of 5
Archimedean solid, uniform polyhedron, tetradecahedron, parallelohedron, permutohedron
Has part(s) of the class 3
vertex, edge, face
Has facet polytope 2
square, regular hexagon
Dual to 1
tetrakis hexahedron
Has characteristic 1
area
Instance of 1
polyhedron
Maintained by WikiProject 1
WikiProject Mathematics
← Dual to 1
tetrakis hexahedron
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Summary

truncated octahedron is a type of polytope up to abstract equivalence[1]. It is a type of Archimedean solid[2], tetradecahedron[3], parallelohedron[4], and permutohedron[5].

References

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

Direct Wikidata claims

  1. [6] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . 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). truncated octahedron. Retrieved November 4, 2026, from https://4ort.xyz/entity/truncated-octahedron
MLA “truncated octahedron.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Nov. 2026, https://4ort.xyz/entity/truncated-octahedron.
BibTeX @misc{4ortxyz_truncated-octahedron_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{truncated octahedron}}, year = {2026}, url = {https://4ort.xyz/entity/truncated-octahedron}, note = {Accessed: 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. 14h ago · YoshiRulz · 2026-11-04 view diff on Wikidata ↗
    Subclass of → Archimedean solid, tetradecahedron, parallelohedron +1
    Claims rich → —
    "/* wbremoveclaims-remove:1| */ Subclass of: uniform polyhedron"
  2. 15h ago · YoshiRulz · 2026-11-04 view diff on Wikidata ↗
    Instance of → type of polytope up to abstract equivalence, type of polytope up to similarity
    Claims rich → —
    "/* wbsetclaim-create:2||1 */ Instance of: type of polytope up to similarity"
  3. 15h ago · YoshiRulz · 2026-11-04 view diff on Wikidata ↗
    Instance of → type of polytope up to abstract equivalence, type of polytope up to similarity
    Claims rich → —
    "/* wbsetclaim-update:2||1 */ Instance of: type of polytope up to abstract equivalence"
  4. 1d ago · Infovarius · 2026-11-03 view diff on Wikidata ↗
    Instance of → type of polytope up to abstract equivalence, type of polytope up to similarity
    Claims rich → —
    "/* wbsetclaim-create:1||1 */ Instance of: type of polyhedron, via [[:w:ru:ВП:WE-F|WE-Framework gadget]] from wikidatawiki"
  5. 2d ago · YoshiRulz · 2026-11-02 view diff on Wikidata ↗
    Instance of → type of polytope up to abstract equivalence, type of polytope up to similarity
    Has characteristic → area, Rupert property
    Claims rich → —
    "/* wbremoveclaims-remove:1| */ Instance of: polyhedron"
  6. 4d ago · YoshiRulz · 2026-10-31 view diff on Wikidata ↗
    Dual to → tetrakis hexahedron
    Has part(s) of the class → vertex, edge, face
    Maintained by WikiProject → WikiProject Mathematics
    Wikipedia languages → ['ar', 'ca', 'commons', 'de', 'el', 'en', 'eo', 'es', 'eu', 'fa', 'fr', 'he', 'i
    + 9 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ Image: Truncated octahedra.png"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.