### The Numbers Give the Design

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

### Straight to Curves

How can you make a curve from straight strips of paper?

### Colouring Curves Game

In this game, try not to colour two adjacent regions the same colour. Can you work out a strategy?

# Celtic Knot

##### Stage: 2 Challenge Level:

Andrew from Wesley College described how he approached this task:

To start off, there are four pictures that look identical and all have a small square in one of their corners. I placed them on the corners of the board.
After that I did the border by looking at the picture given.
After I did the border it was very easy to fill the rest of the board.

Gaby, Anya and Naomi from King's Sutton Primary worked on larger knots too. Here is what Gaby and Anya wrote:

We explored drawing different sizes of celtic knots. First we did a $6$x$6$, using the screen:

Then we did a $10$x$10$ using squared paper:

Then we started a $32$x$32$ but we didn't finish it because we didn't feel we needed to. Here is part of the design:

We discovered that you can do rectangular ones so we did a $4$x$6$ then a $40$x$28$ . We also discovered that they have to be an even number by an even number otherwise it will not work because the squares have to be in pairs.

Naomi said:

The hardest part of drawing the Celtic knot was the edge, which proved difficult to get the correct angle on.

Thank you for sending these solutions in to us.