Maths In A Twist 


Many students are introduced to the idea of the Moebius Strip, that wonderfully perplexing strip with a half twist that has only one side and one edge, and which when cut in half doesn't do what you might expect.
In this workshop we don't just stop there, but explore what happens with other possible twists and turns, and try to find some way of understanding how this works, what else is possible, and whether we can make sense of it all.

This is topology  so no, the exact size doesn't matter. It's the form that matters, whatever that means.
Because of that we can take a cylinder and stretch the bottom edge out until we get a lampshade shape. Then we can squash it flat until we get an annulus. In other words, a cylinder is the same  topologically  as a disk with a hole.
So a disk has one edge and two sides, a cylinder is a disk with a hole, so that's two edges and two sides. Maybe going down the chart is simply adding holes to things. Is it?
For this workshop every needs paper, pencil or pen. In addition everyone needs access to scissors, and sellotape  one between two is probably fine. 
Then we go back to the number of sides and the number of edges, and see if we can start to find some sort of pattern.
Can we find a way to fill the blanks?
Do we always get what we expect?
This is one of the Mathematics Talks offered by Colin Wright.
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Quotation from Tim BernersLee 