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 rollâ€¦

## MATHEMATICS PROUDLY PRESENTSâ€¦

## 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 arenâ€™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 straightâ€¦

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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*Â a leg, doesnâ€™t change the fact that it isÂ

*not*Â a leg, so the answer is

*four*Â â€˜. â€˜Excuse me,â€™ said a passing zoologist, â€˜if a trunk is classified as a leg, clearly this will also apply to the tail, so it hasÂ

*six*Â legs, and itâ€™s an insectâ€™. A logician joined the conversation: â€˜AÂ

*normal*Â elephant has four legsâ€¦

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