Tri-hexaflexagons!

Tri-hexaflexagons!

Today we were lucky enough to have Mr Nash visit our Kowhanga to teach us about sides, and the tricks of inside and outside.  Mr Nash made mobius strips and we made guesses about how many sides are created when paper is twisted and joined.

First we cut a loop of paper that had two sides, and we wanted to see what would happen if cut it length ways.

This created two loops, both with skinny sides.

Then we created a twist in the paper before we cut it length ways.  We checked and it only had one side.


 This created one large loop with two sides. 

Then we twisted the paper twice  and cut the paper length ways.  This had two sides.

This created two loops which were linked like a chain.

What will happen if we twist the paper three times?

Then we created two loops which were twisted and linked together. One of them had a clockwise twist, one of them had an anticlockwise twist.

It created two interlocking hearts!

Then we made a trihexaflexagon where we turned the inside of a hexagon to the outside.  We created a secret third side...

Find a line, crease it, push it's bottom in, there's the secret side!