Make a Magic Circle - a
never-ending, one-sided shape
You will need
A sheet of paper - A4 or A3
A pair of scissors
Sellotape or Scotch tape
What to do
- Cut a long, thin strip from the full length of your sheet of
- Write the letters A,B,C and D as shown in the diagram.
- Draw a line right down the centre of the strip of paper,
starting mid-way between A and B and ending mid-way between C and
D. Or you can colour each side of the strip in a different
- Twist the strip and tape the two ends together so that "A"
touches "D" and "B" touches "C." Your strip should now look like
- If you look at the line that you drew what do you notice? If
you coloured the strip, do the same colours match up,? Do you end
up back where you started?
- The really interesting thing about this strip, are all the
things that you can now do with it. For instance, cut your strip
down the middle, as though you are cutting two, thinner strips. But
do you get two?
- How many edges does the new band have? How many sides does it
have? How many twists are there in the ring? What have you
The name of this strip is a Mobius Strip or Band after the
mathematician, Alfred Mobius.
This activity features in our
December 2008 Advent Calendar.