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'Notes on a Triangle' printed from http://nrich.maths.org/
In the window below, you will see part of the National Film Board
of Canada's website.
Click on the arrow in the black and white rectangle to watch "Notes
on a Triangle".
You can adjust the volume and pause the film using the buttons
underneath the screen (you may have to scroll down a little to see
them).
How would you describe what happens in the film?
Can you describe what happens in different sections of the film?
eg 1 - 34 seconds and 35 - 45 seconds may provide two natural
sections to focus on at the beginning.
What mathematical properties remain constant throughout your chosen
clip?
Could a section of the dance be performed by a different shape?
Imagine replacing the triangle with a kite, or a rhombus, or an
arrowhead, or ...
How would you cut up your new shape to produce congruent pieces?
Can your new shape(s) still achieve the same movements and
symmetries?
If you produce a wall display do send us some photos.
Here is
a sheet of equilateral triangles for you to print off and cut out
(using coloured paper might be a good idea) if you want to recreate
some of the images in the film.