Question 2
This looks like an ordinary strip of rectangles with
their diagonals drawn in. But when you cut the strip out and join it end
to end, you will have made a ring of rectangles which can be made into a
tetrahedron.
But wait, there's more! The ring of rectangles also
makes a tetraflexagon, which is a mathematical way of describing a figure
that can be turned inside out.
The Challenges
1. To use the instructions to make the ring of rectangles into a
tetrahedron.
2. To turn the ring of rectangles inside out.
Send us a photo of your tetrahedron if possible. If you
managed to turn the ring inside out, we'd like to see a before and after
picture of that too.
To work on this
challenge, you will need:
sticky tape to
join the rectangles into a ring
a pair of good
quality scissors
a ruler so
that you can score the lines before folding them.
Linked to this
page is a sheet of diagrams that will make three rings of rectangles and
instructions on how to fold the ring of rectangles as well as how to turn
the ring inside out.
Template
for Question 2
Instructions for Folding
Note: The rectangles should be printed on good
quality card and coloured on the reverse side to make it clear which is
the inside and which is the outside of the ring.
Divide
the numbers 1 - 12 into groups of three (1, 2, 3), (4, 5, 6),