### A Problem of Time

Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7?

### Eight Dominoes

Using the 8 dominoes make a square where each of the columns and rows adds up to 8

### Holly

The ten arcs forming the edges of the "holly leaf" are all arcs of circles of radius 1 cm. Find the length of the perimeter of the holly leaf and the area of its surface.

# One Reflection Implies Another

##### Stage: 4 Challenge Level:

This problem builds on from 'A Roll of Patterned Paper'

#### For the unit shapes I've tried so far I noticed something :

When a strip maps to itself with a mirror line somewhere across it, there always seems to be a second place where a mirror line would also map the pattern to itself.

An illustration may help :

The mirror could be at position 1 or at position 2, either way the reflection will map the pattern onto itself.