Math Plane 

The following are instructive and amusing videos that present the Mobius strip. They demonstrate activities and properties of this unique figure.

Connections

read about topics of topology, mobius strip, and non-orientable surfaces at mathworld.wolfram.com

learn more about the Mobius Strip and other math images at The Math Images Project

What is it?

A mobius strip is a one-sided surface with only one "edge" and one "face".

This non-orientable surface was named after August Mobius, a German mathematician, in 1858. (and, independently discovered by Johann Listing).

____________________________

Why did the Chicken cross the Mobius Strip?

ANSWER

____________________________

ACTIVITIES  (shown in videos)

1) Constructing a Mobius Strip

Take strip of paper; half twist; attach ends

2) Drawing the never-ending line

3) Bisect the strip

4) Cut at the 1/3 mark (width)

____________________________

Webcomic #58 "Math Rap" (Live at the Mobius Strip)  11-10-12

(Click lower right to view)

____________________________

Applications

Besides demonstrating subjects in topology (non-orientable surfaces), there is a significant application: use of conveyor belts. An ordinary belt will wear on one side. But, using a Mobius band, will "create" one top surface (and no bottom surface)

.

____________________________

What is the title of a never-ending Melville novel?

ANSWER

_____________________________

#559 Mobius Wedding Band from Spiked Math Comics