My Maths Presentation Innit

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Infinity
Infinity
Infinity
What is Infinity?
By Will Hudson
Infinity
Infinity
Infinity
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What is infinity?
Infinity is forever, you could count for ever and
never reach infinity. There are various types of
infinity and this presentation will explain some
described in the television programme, The Hotel
Hilbert.
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Structure of The Hotel Hilbert
The Hotel Hilbert is an infinite hotel, meaning
it is and can cater for infinity in many aspects.

For instance its corridors each have an infinite
number of rooms, there is also an infinite number
of corridors as well.
So the hotel will always have vacancies for new
guests, the current residents all move up one
room down the corridor.
The hotel often receives an infinite amount of
new guests, therefore all current guests move to
an even number room, this leaves an infinite
amount of odd rooms for the new arrivals.
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Running an Infinite Hotel
As you can imagine running an infinite hotel
would be hard to say the least.
For example the porter needs to deliver
newspapers to every room, so to do this you must
zigzag the corridors (as shown below) or else
only one half will ever receive theirs.
1 3 5 7 9 11 13 15 17 19
2 4 6 8 10 12 14 16 18 20
Or imagine you are competing with an infinite
number of infinite hotels, and suddenly an
infinite number close and each has an infinite
number of guests requiring an infinite number of
rooms per infinite hotel.
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Coping with Infinity
Now in the example above an infinite number of
people need rooms, easy each corridor is infinite
right? Well yes but when an infinite number of
guests arrive its okay but Infinity-Infinity0,
so suddenly there is a problem. Luckily we own an
infinite hotel with an infinite number of
corridors.
So now every new guest has a room, but wait what
about the current guests. Well infinity has a
solution once again, each guest needs to double
up their corridor leaving an infinite number free
(1 goes to 2, 2 to 4etc, leaving 3,5,6,7,etc
free), therefore problem solved.
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Things to do at The Hotel Hilbert
The Hotel Hilbert has a number of ways to pass
time but of course all feature infinity.
For instance the hotel has a wonderful bar
serving a variety of drinks with every refill 1.
Or check out the restaurant with an infinite
selection of infinite choices with infinite
combinations available. But be careful an
infinite combination may take a long time to
prepare. Maybe even infinity!
Want some fun? The Hotel Hilbert is located next
to a beautiful beach with an excellent view and
daily games are held on the beach, I hope you
enjoy infinite games.
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An Infinite game?
Infinite games are really just normal games just
thought of from a different perspective. The
Hotel Hilbert prides itself with an excellent
version of infinite archery.
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All Infinities are the same?
Aside from obvious differences all infinities
seem the same.
For example
Infinity Infinity Infinity also
Infinity x Infinity Infinity
So all infinities are the same? Wrong not all
infinities are the same, there are even
infinities The Hotel Hilbert cannot accommodate
for. Take the menu for example, there is an
infinite selection of choices so if every guest
in the hotel ordered a different selection, there
would have been every selection chosen (Infinity
Infinity 0) but as there are an infinite
number of combinations every guest can have a
different choice and there would still be
different combinations left to try.
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What is infinity?
During your stay at The Hotel Hilbert you will
experience just a few of an infinite number of
infinities.
But remember infinity is not a large number there
are not an infinite number of grains of sand, in
time they could all be counted, along time but
not infinity. Infinity is forever and even then
is never reached as time is not known to be
infinite.
So when coming to stay at The Hotel Hilbert
everything is infinite including the length of
your stay. You can't leave as this would leave a
gap in infinity which will never be filled. Enjoy
your stay at The Hotel Hilbert it could take
forever.!