Dimensional Views [ 01.08 ] Special : Moebius Strip and Tesseract

Published: 14.02.2006
Updated: 02.07.2015

Let's build our own moebius strip:

Take a strip of paper: L ength ~ 30 cm, width ~ 4 cm

Give it a half twist

Tape the ends together

Now we are ready to find out what a nonorientable surface is:

  • When you take the strip of paper between thumb and first finger - you are sure you touch the 2 sides of the strip.

Now let's proof the moebius strip has only 1 side:

  • Take a pen and draw a line along the middle of the strip marking the surface:

You end on the same side as you started.

That means:

  1. Back and front are the same = there is only 1 side.
  2. There is only 1 border (although you can touch and see 2).
Start marking one border with a coloured pen.... you end up where you started on the same border - after 2 rounds.

Moebius Strip Inside the Tesseract

Now we put one of the 8 cubes of the tesseract on our moebius strip:
...and move it along the surface....after the 1st round.... on the same position:
is on top!

The 8 cubes of a tesseract are moving simultanously on moebius strips in 4D hyperspace, which is hard to imagine. The single cube on a moebius strip proves that it is possible: top = bottom and viceversa while moving on a nonorientable surface.

more about: August Ferdinand Möbius
  • Remember, we draw a line along the middle of the strip marking the surface:
Now take a scissors and cut along the drawn middle line........ anf you get...
    • Not 2 stripes by cutting (as exspected)
    • but doubled the length of the moebius strip!

      © Christian & Carla Geerdes, Editors HereNow4U online magazine

      Share this page on:
      Page glossary
      Some texts contain  footnotes  and  glossary  entries. To distinguish between them, the links have different colors.
      1. Carla Geerdes
      2. HereNow4U
      3. Tesseract
      Page statistics
      This page has been viewed 1965 times.
      © 1997-2020 HereNow4U, Version 4.03
      Contact us
      Social Networking

      HN4U Deutsche Version
      Today's Counter: