Post date: Oct 11, 2017 2:37:5 PM
This is one of my all time favourite things!
Here are a sequence of entertaining and instructive videos by Vi Hart.
Please watch!!! :)
https://www.youtube.com/watch?v=VIVIegSt81k
https://www.youtube.com/watch?v=paQ10POrZh8
https://www.youtube.com/watch?v=AmN0YyaTD60
She has lots of other good youtube videos too. Her father, George Hart, is a mathematician/sculptor. He has visited Aalto University and did some cool things as part of a math/art/architecture course.
http://www.georgehart.com/Aalto/aalto.html
What we did:
Made tri-flexagons. [image from https://en.wikipedia.org/wiki/Flexagon]
some of the students who did this activity last spring went on and managed to make a hexaflexgon. Its has 6 sides hiding inside!
Things to try at home:
Make more triflexagons. Instructions below. Color or write different non-symmetrical patterns on each triangle so you can see how they kind of rotate when you do the flex.
Make a hexaflexagon. Instructions below. This requires some patience as you need to make the folds quite accurate. You might need a parent or friend to help the first time you do it. Its somehow not as easy as it looks in the videos above :)
Links:
Instruction for the triflexagon and hexaflexagon. http://www.murderousmaths.co.uk/games/flex/flexmake.htm
And a video from the same site for the triflexagon. http://www.murderousmaths.co.uk/flex/index.htm
Just google image search for triflexagon or hexaflexagon template will bring up lots of different patterns and ideas.