Folding mathematics – some starting points for exploration
What is the greatest equilateral triangle you can fold?
What is the greatest hexagon you can fold?
What is the greatest octagon you can fold?
Start with a square.
Fold a corner to the midpoint of the opposite edge.
What can you say about the triangles you can see?
What can you find out about the ratio of the sides?
For any rectangle.
What fraction of the long edge is the marked length?
From an A rectangle.
Prove that the quadrilateral is a kite.
What is the perimeter (as a multiple of the shortest
length)?
Trisecting an angle?
Can you prove it?
What if the angle isn’t a right angle?
Webliography
mathworld.wolfram.com/Origami.html
www.origamiheaven.com/
kahuna.merrimack.edu/~thull/origamimath.html
www.britishorigami.info which includes information about the convention in Liverpool with an
origami in education strand on Saturday 9 September 2012
sue.pope@manchester.ac.uk