Magic Caterpillars
Stringing It Out
Maximum Flow
Production Equation
Torus Patterns
Mystery Procedure
Flow Chart
The flow chart requires two numbers, M and N. Select several values for M and try to establish what the flow chart does.
The Olympic Torch Tour
Imagine you had to plan the tour for the Olympic Torch. Is there an efficient way of choosing the shortest possible route?
Happy BirthDay
Can you interpret this algorithm to determine the day on which you were born?
Tourism
If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.
Procedure Solver
Can you think like a computer and work out what this flow diagram does?
Drug Testing
How do different drug-testing regimes affect the risks and payoffs for an athlete who chooses to take drugs?
Network Trees
Explore some of the different types of network, and prove a result about network trees.
Some Circuits in Graph or Network Theory
Eulerian and Hamiltonian circuits are defined with some simple examples and a couple of puzzles to illustrate Hamiltonian circuits.
Doodles
Draw a 'doodle' - a closed intersecting curve drawn without taking pencil from paper. What can you prove about the intersections?
Sorted
How can you quickly sort a suit of cards in order from Ace to King?
Simply Graphs
Look for the common features in these graphs. Which graphs belong together?
Painting by Numbers
How many different colours of paint would be needed to paint these pictures by numbers?
Mad Robot
Can you work out what happens when this mad robot sets off?
Zeller's Birthday
What day of the week were you born on? Do you know? Here's a way to find out.