DC Mathematica 2017

CONTENTS

Interesting Integer Sequences and Their Stories

3

Lunzhi Shi

Y10

Can You Trisect an Angle?

8

Simon Xu

Y11

Measuring Infinities: Or a short journey into the number theory

11

Jakub Dranczewski

Y13

Mathematical History- Zeno’s Paradoxes

14

Toby Evans

Y9

Parity

17

Hin Chi Lee

Y11

Taylor Series and Euler’s identity

21

Andrew Ng

Y12

What is the Probability of Two Random Numbers Being Coprime?

24

Theo Macklin Y12

Are the Renewed Statistics and Probability Behind the "Draft Lottery" Used in the NBA Reliable and an Accurate Method of Levelling a Team's Ability? 28 Jack Kurtulus Y13

A Golden Opportunity: Mathematical Patterns in Nature

33

Jay Connor

Y9

Sequences and Architecture

35

Timothy Moulding

Y10

Modelling Infectious Diseases

42

Joseph Lazzaro & Ayman D’Souza

Y12

Fractals: Are They Just Mathematical Curiosities?

46

Joshua du Parc Braham Y13

From a Question by Dr Purchase

55

Mr Ottewill

Puzzles

60

2

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