411 REFERENCE · Wiktionary
Möbius strip
Reference material by Wiktionary contributors. This retains its source identity and is not 411 news reporting.
Mobius strip Moebius strip
English
thumb|right|250 px|Möbius strip.
Alternative forms
en Mobius strip
en 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
en /ˈmɜː.bi.əs stɹɪp/<a:UK> /ˈməʊ.bi.əs stɹɪp/
en /ˈmoʊ.bi.əs stɹɪp/ US
en LL-Q1860 (eng)-Persent101-Möbius strip.wav US
Noun
en 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. en Surfaces
en 1981 w:William Irwin Thompson The Time Falling Bodies Take to Light: Mythology, Sexuality and the Origins of Culture 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.
en 1992 Speculations in Science and Technology, Volume 15 Elsevier Sequoia https://books.google.com.au/books?id=j_dPAAAAYAAJ&q=%22M%C3%B6bius+strip%22%7C%22M%C3%B6bius+strips%22&dq=%22M%C3%B6bius+strip%22%7C%22M%C3%B6bius+strips%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwj23cDax5PvAhWdTTABHfr_A-IQ6AEwR3oECB0QAg 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.
en Patrick McGuinness Who's afraid of Marcel Proust? http://www.telegraph.co.uk/culture/books/10456997/Whos-afraid-of-Marcel-Proust.html The Daily Telegraph (Review) 16 November 2013 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. https://web.archive.org/web/20251221144240/https://www.telegraph.co.uk/culture/books/10456997/Whos-afraid-of-Marcel-Proust.html 21 December 2025
Synonyms
en Möbius band, en Möbius loop
en twisted cylinder rare
Related terms
en Möbius group
en Möbius scarf
Translations
one-sided surface
Bulgarian: bg лист на Мьобиус m
Catalan: ca cinta de Möbius f, ca banda de Möbius f
Chinese:
Mandarin: cmn 莫比烏斯帶 Mòbǐwūsī dài., cmn 莫比烏斯環 Mòbǐwūsī huán
Czech: cs Möbiova páska f
Danish: da möbiusbånd n
Dutch: nl Möbiusband m
Finnish: fi Möbiuksen nauha
French: fr ruban de Möbius m
Galician: gl banda de Möbius f
German: de Möbiusband n
Hebrew: he טבעת מביוס f
Hungarian: hu Möbius-szalag
Icelandic: is Möbíusarræma f
Ido: io Mobius-strio
Indonesian: id pita Möbius
Interlingua: ia banda de Möbius
Irish: ga stiall Möbius f
Italian: it nastro di Möbius m
Japanese: ja メビウスの帯 mebiusu no obi
Korean: ko 뫼비우스의 띠
Latin: la moebii taenia f
Luxembourgish: lb Möbiusschläif
Norwegian: no möbius’ bånd n
Polish: pl wstęga Möbiusa f
Portuguese: pt fita de Möbius f
Russian: ru лист Мёбиуса m, ru ле́нта Мёбиуса f
Serbo-Croatian: sh мебијусова трака f
Slovene: sl Möbiusov trak m
Spanish: es banda de Möbius f, es cinta de Möbius f
Swedish: sv Möbiusband n
Ukrainian: uk стрічка Мебіуса f
Vietnamese: vi mặt Mobius
narrow strip given a half twist
Catalan: ca cinta de Möbius f, ca banda de Möbius f
Danish: da möbiusbånd n
Finnish: fi Möbiuksen nauha
German: de Möbiusband n
Polish: pl wstęga Möbiusa f
Russian: ru лист Мёбиуса m, ru ле́нта Мёбиуса f
Swedish: sv Möbiusband n
Turkish: tr Möbius şeridi
Vietnamese: vi dải Mobius
Arabic: ar شَرِيط مُوبِيُوس m šarīṭ mōbiyus
Esperanto: eo rubando de Möbius
Estonian: et möbiuse leht
Frisian:
West Frisian: fy möbiusbân
Slovak: sk Möbiova páska f, sk Möbiov list
Thai: th แถบโมเบียส tàep mohbìat
Turkish: tr möbius şeridi
Welsh: cy stribyn Möbius
See also
en projective plane
en cross-cap
mul ♻
en nonorientable
Further reading
Mathworld article on the Möbius strip
en eponyms