### Clock Hands

This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.

### Transformation Tease

What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?

### Penta Play

A shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.

# Sorting Symmetries

##### Stage: 2 Challenge Level:

Many of you wrote to tell us that there were six ways of posting the triangle into the shape sorter. JC explained:

There are six ways to put the triangle into the hole. On the blue side, you can have the dot in the top angle, the bottom left or bottom right angle. It is the same on the flip, yellow, side!

Mike tackled the second part of the problem (using the diagrams below):

I will call these six symmetries A, B, C (along the top row) and D, E, F (along the bottom row).

If you turn triangle A 120 degrees clockwise you get to position B. If you then flip it vertically you go from B to F.

If you turn triangle A 120 degrees anticlockwise you get to position C. If you then flip the triangle you get to position E.

Philippa also noticed that you can do a whole turn before flipping:

If you turn triangle A 360 degrees clockwise or anticlockwise you get back to position A. If you then flip it you get to position D.

Well done everyone!