Dictionary

Möbius strip en · NOUN

Pronunciation

• /ˈmɜː.bi.əs stɹɪp/ (UK)
• /ˈməʊ.bi.əs stɹɪp/
• /ˈmoʊ.bi.əs stɹɪp/ (US)
• (US) audio

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).

Meanings

1. A one-sided surface formed by identifying two opposite edges of a square in opposite senses;
   • 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.
   • 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. 2013 November 16, Patrick McGuinness, “Who's afraid of Marcel Proust?”, in The Daily Telegraph (Review), page R20:
   • A geometrical model of electron (positron) structure is presented based upon an object of two linked loops obtained by cutting a Möbius strip asymmetrically. 1992, Speculations in Science and Technology, Volume 15, Elsevier Sequoia, page 221:
   • 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. 1981, William Irwin Thompson, The Time Falling Bodies Take to Light: Mythology, Sexuality and the Origins of Culture, page 8:
2. 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. ▸ a narrow strip given a half twist and joined at the ends, forming a three-dimensional embedding of said surface.

Forms

Relateds

nonorientable · projective plane · ♻ · cross-cap · Möbius group · Möbius scarf

Synonyms

twisted cylinder · Möbius loop · Möbius band

Translations (47)

it nastro di Möbius (one-sided surface) · ga stiall Möbius (one-sided surface) · fi Möbiuksen nauha (one-sided surface) · ru лист Мёбиуса (one-sided surface) · ru ле́нта Мёбиуса (one-sided surface) · es banda de Möbius (one-sided surface) · uk стрічка Мебіуса (one-sided surface) · cmn 莫比烏斯帶 /莫比乌斯带 (one-sided surface) · is Möbíusarræma (one-sided surface) · ru ле́нта Мёбиуса (narrow strip given a half twist) · ca banda de Möbius (narrow strip given a half twist) · io Mobius-strio (one-sided surface) · sv Möbiusband (one-sided surface) · la moebii taenia (one-sided surface) · bg лист на Мьобиус (one-sided surface) · vi dải Mobius (narrow strip given a half twist) · pl wstęga Möbiusa (one-sided surface) · ia banda de Möbius (one-sided surface) · de Möbiusband (narrow strip given a half twist) · cs Möbiova páska (one-sided surface) · fr ruban de Möbius (one-sided surface) · ko 뫼비우스의 띠 (one-sided surface) · id pita Möbius (one-sided surface) · tr Möbius şeridi (narrow strip given a half twist) · sl Möbiusov trak (one-sided surface) · pl wstęga Möbiusa (narrow strip given a half twist) · da möbiusbånd (one-sided surface) · he טבעת מביוס (one-sided surface) · pt fita de Möbius (one-sided surface) · fi Möbiuksen nauha (narrow strip given a half twist) · es cinta de Möbius (one-sided surface) · de Möbiusband (one-sided surface) · da möbiusbånd (narrow strip given a half twist) · ca cinta de Möbius (narrow strip given a half twist) · ca cinta de Möbius (one-sided surface) · no möbius’ bånd (one-sided surface) · sh мебијусова трака (one-sided surface) · cmn 莫比烏斯環 /莫比乌斯环 (one-sided surface) · hu Möbius-szalag (one-sided surface) · ja メビウスの帯 (one-sided surface) · gl banda de Möbius (one-sided surface) · sv Möbiusband (narrow strip given a half twist) · nl Möbiusband (one-sided surface) · vi mặt Mobius (one-sided surface) · lb Möbiusschläif (one-sided surface) · ca banda de Möbius (one-sided surface) · ru лист Мёбиуса (narrow strip given a half twist)

wikipedia: Johann Benedict Listing · wikipedia: August Ferdinand Möbius