# Mobius Strip

Contents of the Article

## Definition

A Möbius Strip is an exterior with just a single side. It is sometimes referred to as Mobius
Band and also spelled as Mobius or Moebius; the band is fixed in three- dimensional
Euclidean Space with a single boundary. The Mobius Band has a non-orientable
mathematical property, and it was named after a mathematician and an astronomer;
August Ferdinand Mobius. The Mobius Strip was recognized independently by August
Ferdinand Mobius, a German Mathematician, and Johan Benedict Listing a German
mathematician, but the band was mostly known as Mobius and not Listing. A Mobius Strip
or Band was composed of a piece of Paper and tape, so that whatever moves along this tape
or strip would return to its initial point having gone through the whole length of the Band
i.e. the two sides of the band without crossing the edge.

## How it Was Formed

The Mobius Strip was formed by making a paper strip a half-twist and joining the ends of
the strips to form a loop. The Mobius strip is not a surface of just one size or shape.
Mathematicians refer it to be any surface that is homeomorphic to the strip since the
boundary is a simple closed curve, which allows a wide range of geometric versions of the
Mobius strip surfaces each having a definite size or shape. When the Möbius strip is cut
along the center line with a pair of scissors, giving one long strip with two full twists in it
rather than having two different strips, it does not give a Mobius strip or Mobius band. This
occurs because the original strip has just one edge that is twice as long as the original strip.
For instance, a rectangle glued to itself by identifying one edge to the opposite; to make a
Mobius bans sometimes does not come out smooth. The Strip is a chiral object with right or
left handedness that comes in three-dimensional space formed by the twisting or knotting
of the strip.

## Mathematical Application

In Mathematical terms, the Mobius strip is known as an non-orientable structure, and is
defined as a surface normal at a point extended to the whole surface. The strip or band
depicts a sliding surface along the surface of the strip that points to the opposite direction.
The Möbius strip or band could also be represented as a curve cylinder when taking two
slices of the strips and bent over the arrow, the arrowhead coincides, leaving one on the left
forming an ordinary cylinder, while the other forms a Möbius strip. The Mobius strip has an
advantage of being quite easy to draw on the paper and used to answer mathematical
questions on surfaces and topology; the Möbius band is an example of the topological
surface that is related to the strip but not homeomorphic. Using the Mobius strips helps
find a solution to algebraic equations on topology.

## Religion

The knowledge that the Mobius strip is made of one long, continuous side, and there is no
difference between the inside and outside of it, brings the realization of the oneness of all

things and that everything was created by God from himself. He did not create things from
anything other than himself, which makes him the energy behind all creations.