We usually measure distance as the crow flies. These problems explore the mathematics that emerges when we express distance in different ways, using ideas from taxi-cab geometry.
How do you measure the distance between two points? A straight line? The shortest route by road? The time it takes to travel? Find out different ways of measuring distance and the mathematical idea of a metric.
To get around a city, we can't walk as the crow flies, but instead we have to walk up, down and across the blocks. What can you discover about taxi-cab geometry?
A robber is hiding at a crossroads in a modern city, where the roads are all at right angles and equally spaced.
Can you help the police to find him?
In a three dimensional city on a distant planet, the metagiff has escaped from the zoo! Can you help the zookeeper locate the metagiff?
Here are some resources to help you explore dotty grids, including some printable grids and an interactive environment.