Wordalso written mobius, möbius, moebius, mobius strip, möbius strip, moebius strip, möbius band, mobius band

Möbius strip

Meaning

A Möbius strip (also spelled Mobius or Moebius) is a one-sided geometric surface made by giving a rectangular strip a half-twist and joining the ends.

How “Möbius strip” is used

A one-sided surface with a single continuous boundary, formed by twisting one end of a narrow rectangular strip through 180 degrees and joining it to the other end.123

Tone
Technical; also used in popular science and art.
Where you’ll see it
When people ask what a Möbius strip means or look up a Möbius definition, they usually mean this classic object from topology: a loop that has only one face and one edge. Trace a line along the surface and you return to the start having covered what looked like both sides without crossing an edge.

Examples

  • She cut a paper Möbius strip down the middle and got one longer loop with two twists.
  • The logo looks like a Mobius strip: one continuous band with a half-twist.

Examples are written for this site to show typical use. They are not quotes.

Usage notes

  • Spellings vary: Möbius (with umlaut), Mobius (ASCII), and Moebius (oe for ö) all appear; dictionaries often list Moebius strip as an alternate.
  • Also called a Möbius band. Searches for “mobius meaning” or “mobius definition” almost always point to the strip, not an unrelated brand or surname use.
  • Cutting along the centerline does not yield two separate loops; it yields one longer loop with two full twists (Britannica).

Origin

Named after German mathematician August Ferdinand Möbius. Britannica notes the form was described independently in 1858 by Möbius and Johann Benedict Listing; Merriam-Webster dates the English term Möbius strip to 1904.12

Sources

  1. Möbius strip — Merriam-Webster

    merriam-webster.comAccessed Back to text

    https://www.merriam-webster.com/dictionary/M%C3%B6bius%20strip

  2. Möbius strip — Encyclopaedia Britannica

    britannica.comAccessed Back to text

    https://www.britannica.com/science/Mobius-strip

  3. Möbius strip — Oxford Advanced Learner's Dictionary

    oxfordlearnersdictionaries.comAccessed Back to text

    https://www.oxfordlearnersdictionaries.com/us/definition/english/mobius-strip