Mathematica 2015

C ONTENTS Fooled by Randomness.............................................................1

By Zhengyuan Zhu (Y12)

Game Theory .............................................................................5

By Henry Bradley (Y13)

Latin in Mathematics...............................................................10

By Zeb Micic (Y8)

Markov Chain in Shackleton’s Voyage..................................12

By Andy Zhang (Y12)

Dr. Purchase’s Multiplication Problem.................................16

By Alex Boiardi (Y9)

Persistence and Endurance ....................................................18

By Junxiao Shen (Y12)

Coding in Mathematics ...........................................................22

By Andrew Hong (Y8)

Reflections on Reflections......................................................23

By Mr. Ottewill

Shackleton, Sextant and the…quadratic regression ...........25

By Jan Rybojad (Y12)

The Golden Ratio....................................................................33

By Alexander Cartwright (Y8)

Are Fourier Series of great importance?..............................34

By Xiaofeng Xu (Y13)

The Pancake Problem .............................................................41

By Keesje 't Hooft (Y13)

Triangle and Square .................................................................46

By David Jaffe (Y9)

What is the God's Number of the Rubik's Cube?..............47

By Leslie Leung (Y13)

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