Source: More Challenging Limits

# MATHS GOES TO THE MOVIES

Helping Students in Maths and Creating Better Tomorrow

### Maths goes to the movies

Got your popcorn? Picked a good seat? Are you sitting comfortably? Then let the credits roll…

## MATHEMATICS PROUDLY PRESENTS…

## SETTING THE SCENE

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# Finding your way home without knowing where you are

Helping Students in Maths and Creating Better Tomorrow

# Finding your way home without knowing where you are

The life of a foraging ant is tedious and boring. It involves nothing more than repeated trips between food sources and the nest. These trips are arduous and long. A single foraging trip of an ant, one of many in a day, might be hundreds of metres. We can put this in human terms by comparing this foraging distance to the body-length of an ant. A 200m journey for an ant represents a distance of over 26,000 body lengths. For a human of average height that would equate to a trip of 30 miles. An ant forager will repeat this journey until she drops dead from exhaustion.

The foraging trips aren’t just long, they also follow complex zig-zag paths. So how do ants manage to find their way back home? And how do they manage to do so along a straight…

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# TO PROVE OR NOT TO PROVE

Helping Students in Maths and Creating Better Tomorrow

### To Prove or Not to Prove

## INTRODUCTION

*called*a leg, doesn’t change the fact that it is

*not*a leg, so the answer is

*four*‘. ‘Excuse me,’ said a passing zoologist, ‘if a trunk is classified as a leg, clearly this will also apply to the tail, so it has

*six*legs, and it’s an insect’. A logician joined the conversation: ‘A

*normal*elephant has four legs…

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