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Angenent torus — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Angenent_torus
License (as archived): CC-BY-SA-4.0
Archived: 2026-11-09T07:06:57.194Z
SHA-256 of the archived text: 656f288e67f685bcf7e14af830c87a89174d3766c06676d9594f8fc875da155f
Stable URL of this page: https://metraipolis.com/documento/dc_fbafa899ae34

How to cite

Angenent torus — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Angenent_torus (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_fbafa899ae34 (Metraipolis archive dc_fbafa899ae34, sha256 656f288e67f685bcf7e14af830c87a89174d3766c06676d9594f8fc875da155f)

BibTeX

@misc{dcfbafa899ae34,
  title = {Angenent torus — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Angenent_torus},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_fbafa899ae34; sha256 656f288e67f685bcf7e14af830c87a89174d3766c06676d9594f8fc875da155f},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Angenent_torus. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In differential geometry, the Angenent torus is a smooth embedding of the torus into three-dimensional Euclidean space, with the property that it remains self-similar as it evolves under the mean curvature flow. Its existence shows that, unlike the one-dimensional curve-shortening flow (for which every embedded closed curve converges to a circle as it shrinks to a point), the two-dimensional mean-curvature flow has embedded surfaces that form more complex singularities as they collapse.

Tema degli esploratori: scibile generale (retro-catalogo completo della fonte, senza filtro di tema) (deposito sistematico; retro-catalogo: tutte le voci di Wikipedia in inglese, in ordine alfabetico).
Fonte: Wikipedia in inglese, voce «Angenent torus» — https://en.wikipedia.org/wiki/Angenent_torus
Wikidata Q25304375 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q25304375
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Angenent_torus?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1365510149, consultata il 2026-11-09T07:01:13.163Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: d158e7dd868eb6e2c96de99fe9afbb8703571f8e7ab5fb3d56c00813cac0e36e