How many different journeys could you make if you were going to visit four stations in this network? How about if there were five stations? Can you predict the number of journeys for seven stations?
Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?
A brief video looking at how you can sometimes use symmetry to distinguish knots. Can you use this idea to investigate the differences between the granny knot and the reef knot?
Take a look at the video and try to find a sequence of moves that will take you back to zero.
It would be nice to have a strategy for disentangling any tangled ropes...
Look carefully at the video of a tangle and explain what's happening.
Can you tangle yourself up and reach any fraction?
This problem caught many people out!
Go to last month's problems to see more solutions.
This article for students introduces the idea of naming knots using numbers. You'll need some paper and something to write with handy!
This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.