Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
A few extra challenges set by some young NRICH members.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
It is rolled over by tipping it very carefully (with no sliding) along one of the edges so that the next inky mark is right by its side. This gives;
It can roll both left and right and up and down.
When it has done several rolls, without taking it off, the paper looks like this;
Your challenge is to find out:
Next, you might like to try this colour version where you have to find the colours for each patch on each of the faces of the cube, as well as the route it took.
Here is a printable version of the marks left by this coloured cube.