Möbius strip

See also: Mobius strip and Moebius strip

English

Möbius strip.

Alternative forms

Mobius strip
Moebius strip

Etymology

Named after August Ferdinand Möbius (1790–1868), one of two German mathematicians—the other being Johann Benedict Listing (1808–1882)—who independently discovered the strip at the same time (1858).

Pronunciation

(UK) IPA^(key): /ˈmɜː.bi.əs stɹɪp/, IPA^(key): /ˈməʊ.bi.əs stɹɪp/
(US) IPA^(key): /ˈmoʊ.bi.əs stɹɪp/

Noun

Möbius strip (plural Möbius strips)

(topology) A one-sided surface formed by identifying two opposite edges of a square in opposite senses;
a narrow strip given a half twist and joined at the ends, forming a three-dimensional embedding of said surface.
- 1981, William Irwin Thompson, The Time Falling Bodies Take to Light: Mythology, Sexuality and the Origins of Culture, page 8:
  Like a mind moving on a Möbius strip of events, one's consciousness goes over the same territory again and again without ever becoming aware of the nature of awareness.
- 1991, Theoni Pappas, More Joy of Mathematics, Wide World Publishing, page 117,
  B. F. Goodrich Co. has a patent for a Möbius strip conveyor belt. It lasts longer since the wear and tear is spread uniformly over the entire surface.
- 1992, Speculations in Science and Technology, Volume 15, Elsevier Sequoia, page 221,
  A geometrical model of electron (positron) structure is presented based upon an object of two linked loops obtained by cutting a Möbius strip asymmetrically.
- 2013 November 16, Patrick McGuinness, “Who's afraid of Marcel Proust?”, in The Daily Telegraph (Review)‎, page R20:
  Proust's novel grew and deepened into over 3,000 pages of everything and nothing: a Möbius strip of profundity twisting into mundanity, mundanity twisting into profundity.

Synonyms

Möbius band, Möbius loop
twisted cylinder (rare)

Related terms

Möbius group
Möbius scarf

Translations

one-sided surface

Bulgarian: лист на Мьобиус m (list na Mjobius)
Catalan: cinta de Möbius f, banda de Möbius f
Chinese:
Mandarin: 莫比烏斯帶／莫比乌斯带 (mòbǐwūsī dài).
Czech: Möbiova páska f
Danish: möbiusbånd n
Dutch: Möbiusband m
Finnish: Möbiuksen nauha
French: ruban de Möbius (fr) m
Galician: banda de Möbius f
German: Möbiusband n
Hebrew: טבעת מביוס‎ f
Hungarian: Möbius-szalag (hu)
Icelandic: Möbíusarræma f
Ido: Mobius-strio
Indonesian: pita Möbius
Interlingua: banda de Möbius
Irish: stiall Möbius f
Italian: nastro di Möbius m
Japanese: メビウスの帯 (ja) (mebiusu no obi)
Korean: 뫼비우스의 띠 (ko) (moebiuseuui tti)
Latin: moebii taenia f
Luxembourgish: Möbiusschläif
Norwegian: möbius’ bånd n
Polish: wstęga Möbiusa f
Portuguese: fita de Möbius f
Russian: лист Мёбиуса m (list Mjóbiusa), ле́нта Мёбиуса f (lénta Mjóbiusa)
Serbo-Croatian: мебијусова трака f
Slovene: Möbiusov trak m
Spanish: banda de Möbius f, cinta de Möbius f
Swedish: Möbiusband (sv) n
Ukrainian: стрічка Мебіуса f (strička Mebiusa)
Vietnamese: mặt Mobius

narrow strip given a half twist

Catalan: cinta de Möbius f, banda de Möbius f
Danish: möbiusbånd n
Finnish: Möbiuksen nauha
German: Möbiusband n
Polish: wstęga Möbiusa f
Russian: лист Мёбиуса m (list Mjóbiusa), ле́нта Мёбиуса f (lénta Mjóbiusa)
Swedish: Möbiusband (sv) n
Turkish: Möbius şeridi
Vietnamese: dải Mobius

The translations below need to be checked and inserted above into the appropriate translation tables. See instructions at Wiktionary:Entry layout § Translations.

Translations to be checked

Arabic: ^{(please verify)} شَرِيط مُوبِيُوس‎ m (šarīṭ mōbiyus)
Esperanto: ^{(please verify)} rubando de Möbius
Estonian: ^{(please verify)} möbiuse leht
Slovak: Möbiova páska f, ^{(please verify)} Möbiov list
Thai: ^{(please verify)} แถบโมเบียส (tàep mohbìat)
Turkish: ^{(please verify)} möbius şeridi
Welsh: ^{(please verify)} stribyn Möbius
West Frisian: ^{(please verify)} möbiusbân