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Mathematical Object

Möbius Strip

Topology

A Möbius strip is a surface formed by joining the two ends of a strip of paper together with a half-twist, first identified as a mathematical object independently by August Ferdinand Möbius and Johann Benedict Listing in 1858. It has only a single boundary curve rather than the two edges an ordinary loop of paper has, and it has only one side: an object sliding along its surface returns to its starting point as a mirror image of itself. Like the Klein bottle, the Möbius strip is non-orientable, so no consistent notion of clockwise and counterclockwise can be defined across its whole surface. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Geometric Object 1
Origin Year
1858 1
Connections

In Branch

Source Möbius Strip (Wikipedia)

Is Kind Of Object

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Möbius Strip (Wikipedia)
Wikimedia Foundation
  • Lead section
    In mathematics, a Möbius strip, Möbius band, or Möbius loop is a surface that can be formed by attaching the ends of a strip of paper together with a half-twist.
  • In Branch: Topology
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