Kakutani's theorem

every convex body in 3-dimensional space has a circumscribed cube (later generalised to 4+ dimensions and other parallelepipeds)
Intangible theorem Q1943494
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Kakutani's theorem

Summary

Kakutani's theorem is a theorem[1].

Key Facts

  • Kakutani's theorem's instance of is recorded as theorem[2].
  • Shizuo Kakutani is named after Kakutani's theorem[3].
  • Kakutani's theorem's Freebase ID is recorded as /m/056wlwj[4].
  • Kakutani's theorem's main subject is recorded as tangential polyhedron[5].
  • Kakutani's theorem's main subject is recorded as convex body[6].
  • Kakutani's theorem's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • Kakutani's theorem's Microsoft Academic ID is recorded as 2780601131[8].

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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). Kakutani's theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/kakutani-s-theorem-q1943494
MLA “Kakutani's theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/kakutani-s-theorem-q1943494.
BibTeX @misc{4ortxyz_kakutani-s-theorem-q1943494_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Kakutani's theorem}}, year = {2026}, url = {https://4ort.xyz/entity/kakutani-s-theorem-q1943494}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Kakutani's theorem — https://4ort.xyz/entity/kakutani-s-theorem-q1943494 (retrieved 2026-05-03)

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