Weekly Problem 28 - 2013
Two lines meet at a point. Another line through this point is reflected in both of these lines. What is the angle between the image lines?
Here is a chance to create some Celtic knots and explore the mathematics behind them.
Toni Beardon has chosen this article introducing a rich area for practical exploration and discovery in 3D geometry
A design is repeated endlessly along a line - rather like a stream of paper coming off a roll. Make a strip that matches itself after rotation, or after reflection
A red square and a blue square overlap. Is the area of the overlap always the same?
When a strip has vertical symmetry there always seems to be a second place where a mirror line could go. Perhaps you can find a design that has only one mirror line across it. Or, if you thought that was impossible, could you explain why ?
