Start to 02:20 - Introduction

The Guard's kite is stuck up a tree. The Wizard offers to sell him a kite-prodding stick from his timber yard, but only if he's asked for the right length.

02:20 to 04:00 - First steps

Lisa reckons that she can work out how long a stick they need, by taking a photograph of the Guard standing under the tree.

04:00 to 04:40 - The Mathematical Encyclopaedia

The Encyclopaedia opens to page 1.61803: the Golden Ratio. There follows a brief history of this most aesthetic of numbers.

04:40 to 06:30 - The Wizard's timber yard

Lisa's photograph shows that they need a kite-prodding stick twice as long as the Guard's pike. The Wizard has two suitable sticks, one costing 5 florins, and an older one priced at 2 florins per trollurch (an old unit of length no longer in common use).

06:30 to 08:55 - First, find your trollurch rule!

To work out how long the second stick is, a trollurch rule is needed. The Wizard keeps his trollurch safe in his maze. Lisa must go in and get it, blindfolded. Luckily, the Guard is given a scale map.

08:55 to 10:00 - Map scales

The Wizard describes map scales, and what 'one to twenty-five thousand' really means.

10:00 to 12:45 - Buying the kite-prodding stick

The old stick is 3 trollurches long, so it costs 6 florins. Despite the Wizard's protests, the Guard buys the cheaper stick. He heads off to prod his kite, but it all ends in tears.

12:45 to End - A new kite

The Wizard decides to leave the lumber business, since it's bad for his back. He makes a presentation to his final customer - a new kite for the Guard!