Page 43 - I have a dream

THE ENGLISH SCHOOL MA GA ZINE 2022 THE ENGLISH SCHOOL MA GA ZINE 2022

THE RITANGLE Honourable mentions...

Teams from the following schools
An Integral Maths Competition also reached stage 3 and submitted the
highest correct answers.
Congratulations to all the schools
Having participated in the Ritangle and colleges below:
competition for the past two years, The Judd School
I can safely say I would do it again! King Edward VI School
Through the competition, not only were we able to apply the (Southampton)
mathematics we learnt at school to more complex problems, Dulwich College
but we also formed bonds that will never be broken amongst our
team-mates and teachers. It was great fun working with the Wilson's School
team from early in the morning up to late at night. Nothing beats Hutton Grammar School
the feeling of solving a difficult maths problem with your friends! Bournemouth School
Antonios Skordis 7R Abingdon School
MATHS St Bernards Catholic Grammar School
The Latymer School
IS USED BY The English School Nicosia

EVERYONE of ingenuity, combining answers from
Unlocking Stage 3 took a great deal
EVERYWHERE the 32 Stage 1 and Stage 2 questions.
IN EVERYTHING Congratulations
to all the teams
THAT WE DO! that managed to do this!

INFINITE HOTEL PARADOX

This paradox was created by the German mathematician David Hilbert in 1924. It is a thought
experiment that shows how complicated the concept of infinity is. The paradox is about a hotel
with infinite rooms which is full with infinite guests.
Even if it is full, we can somehow make room for more guests…
Let’s suppose a new guest arrives at the hotel. The way to fit the new guest in the hotel is:
Every guest will move from their room to the next room. So, the guest in room n must move to
room n+1. For example, the person who was in room 1 will move to room 2, the person in room 2
moves to room 3 and so on. In the end, room 1 is left empty for the new guest. Suppose an infinite
number of buses with an infinite number of guests each arrives at the hotel. There are several
different ways to accommodate them.
Prime powers method
Prime factorization method
Interleaving method
Further layers of infinity

Further layers of infinity
Suppose the hotel is next to an ocean, and an infinite number of car ferries (f) arrive, each
carrying an infinite number of buses, each with an infinite number of passengers. This is a
situation involving three "levels" of infinity, and it can be solved by extensions of any of the mathematics
previous methods.
Philippos Rouvas 2B & Giorgos Gavriil 2W
PUZZLES!

Giving mathematics a creative touch by using “hands-on” and learning skills while having fun.
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