Copyright © University of Cambridge. All rights reserved.

## 'A Patchwork Piece' printed from http://nrich.maths.org/

I have decided to make another patchwork quilt. The end result
should look something like this:

It is a design known as "World without end" and is based on a
series of squares like this:

The problem is to make the individual pattern pieces the right
size (and shape!).

Although it is not exactly obvious this design is based on a
regular octagon in a square. These diagrams show the
transformations required:

This helps in making the individual pattern pieces. Can you work
out how each of the above steps was achieved? Try it with a square
piece of paper.

How could you make the pattern if you only have a ruler and a
pair of scissors?

What about if you were allowed to use a pair of compasses as
well?

Let us know how you achieved each step. You can send in pictures
of your final piece, too.

_________________________

Here are the first four squares of the actual quilt: