MAthMAg

A MILLENNIUM SCHOOL PUBLICATION

THE BEAUTY OF
MATHEMATICS

"The beauty in mathematics is
unappreciated by many but matched by

very little."

EDITORS NOTE
Hello Readers,
Mathematics has always been a controversial
topic. Some people can’t bear it while others
love it. It is not just numbers on a page though,
it is an entire world…
And it is beautiful.
I would like to thank you for taking time off to
flip through this magazine. I really appreciate
it and hope you enjoy the experience.

Subhaditya Mukherjee 12A

Dear Readers,

This edition contains articles related to Maths from
the middle and senior school.
Our student editors have done a wonderful job and
this edition is a milestone crossed in our
department.
The editorial team owes its gratitude to the
Principal, Mr. Michael Guzder, and Headmaster Dr.
Saleem Khan for their support. Many thanks to Mrs.
Vinita Gupta, Head of the Senior School and Mrs.
LiniShivaprasad, Head of the Middle School and all
the teachers of Mathematics Department.

THE ULAM CLOTH

The Ulam cloth, or prime spiral is a simple method of
visualizing the prime numbers that reveals the apparent
tendency of certain quadratic polynomials to generate
unusually large numbers of primes. It starts off with the

primes represented by dots and gradually spirals off.

FASTER MULTIPLICATION

Who doesn’t want to be able to multiply faster?
Here is a small trick to help you along…

The method is explained with the help of an
example…

The Most Beautiful Equation in The
World

Euler's identity is regularly chosen as the most
beautiful in existence. It isn't just an equation, it's
the haiku of mathematics. It's the only artwork that

can objectively prove itself true.
The fact that this equation includes pi, e, 1 and 0

makes it not only extremely beautiful but also
fascinating as it seem to make a link between

distinct branches of mathematics.

Some cool Math Facts

? ZERO is the only number which is known with
so many names including nought, naught, nil,
zilch, zip and cipher.

? Pi (The ratio of the circumference to the
diameter of a circle) can’t be expressed as a
fraction, making it an irrational number. It
never repeats and never ends when written as a
decimal.

? What comes after a million?
? Billion, Trillion, Quadrillion, Quintillion,

Sextillion, Septillion,Octillion, Nonillion,
Decillion and Undecillion.
? The name of the popular search engine ‘Google’
came from a misspelling of the word ‘googol’,
which is a very large number (the number one
followed by one hundred zeros to be exact).
? The opposite sides of a dice always add up to
seven.
? Among all shapes with the same area circle has
the shortest perimeter.

How about some mind-blowing series’?

1x8+1= 9
12 x 8+ 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654

1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 + 1 = 1111111111

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888

(Note: This is not supposed to be a Christmas Tree)

Hack your way with Vedic Math

Vedic math was introduced thousands of years ago .These methods of
addition, subtraction and multiplication can be used to solve sums
faster. They might even be faster than abacus.

Here is one:

The condition is that the ones digits must add up to 10. If you have to
multiply 82 with 88 you can use this method. However, if you want to
multiply 83 with 80, you can’t use this method as the ones digit
doesn’t add up to ten.

If we are multiplying 82x88

1. We know that the ones digit adds up to 10
2. Now we should multiply like this :
? Multiply the ones digit with the next number
? Eg ( in this case = 8 x (8+1) = 8x9 = 72
? 72 is the first part of our answer.
? Simply multiply the ones digit ( eg in this case it is 2x8 = 16)
? 16 is the second part of our answer.
? Now join the 2 parts and we get the answer, i.e. 7216.

However, with this method we can only multiply numbers who’s
one’s sum ends in 10.

If you solve this…You (might) just rule
the world someday

There are 5 ships in a port:

1. The Greek ship leaves at six and carries coffee.
2. The Ship in the middle has a black chimney.
3. The English ship leaves at nine.
4. The French ship with blue chimney is to the left of a
ship that carries coffee.
5. To the right of the ship carrying cocoa is a ship going
to Marseille.
6. The Brazilian ship is heading for Manila.
7. Next to the ship carrying rice is a ship with a green
chimney.
8. A ship going to Genoa leaves at five.
9. The Spanish ship leaves at seven and is to the right of
the ship going to Marseille.
10. The ship with a red chimney goes to Hamburg.
11. Next to the ship leaving at seven is a ship with a
white chimney.
12. The ship on the border carries corn.
13. The ship with a black chimney leaves at eight.
14. The ship carrying corn is anchored next to the ship
carrying rice.
15. The ship to Hamburg leaves at six.
Which ship goes to Port Said? Which ship carries tea?

Solution:

?oo? 'di?s u?i iz??q ??? ?q p?i???? ?q u?? ??? '?????o? ???? s?i???? di?s
??u??? ??? pu? pi?s ??od o? s?o? di?s ?siu?ds ???

Now with all the rage of ‘Memes’, here are
some math ones..







DID YOU KNOW?
1. A pizza that has radius “z” and
height “a” has volume Pi × z × z
× a.

2. In a room of just 23 people there’s a
50% chance that two people have
the same birthday.

3. (.9999999999999999999 = 1)

Here’s how-

If 10N = 9.9999…
Then N = .9999….
Subtract N from 10N, leaving you with 9N=9.
So then N=1. But we already know that
N=.9999… as well.
So 1=.9999….

4. ZERO is the only number which is known
with so many names including nought,
naught, nil, zilch and zip.

5. From number 0 to 1000, the letter 'A'
only appears in 1000 (One thousand)

HMMM…WANT TO FIND OUT YOUR
BIRTH DATE WITH MATHEMATICS???

Step1: Add 18 to your birth month.
Step2: Multiply by 25.
Step3: Subtract 333.
Step4: Multiply by 8.
step5: Subtract 554.
step6: Divide by 2.
step7: Add your birth date.
step8: Multiply by 5.
step9: Add 692.
step10: Multiply by 20.
step11: Add only the last two digits of your birth year.
step12: Subtract 32940 to get your birthday!.

Example: If the answer is 123199 means that you were born on
December 31, 1999.

HERE IS ANOTHER EQUATION WHICH
WILL BLOW YOUR MIND

The equation above was formulated by
Einstein as part of his groundbreaking general
theory of relativity and it describes ‘Space’.
The right-hand side of this equation describes
the energy contents of our universe while the
left-hand side describes the geometry of
space-time.

FLIP THROUGH AND FIND OUT THE HEART
STOPPING BEAUTY AND POWER OF
MATHEMATICS
1.

This picture shows the geometry of a square
shaped crystal.

2.

This is a knot which combines four parallel
Mobius Strips and shows it’s geometry.
(Click to find out what a Mobius strip is )

3.

Bat country, a 22ft tall Tetrahedron(The
above shape) composed of 384 softball bats,
130 balls, and a couple of thousand pounds of

steel.

4.

A representation of 3,000 seeds on a
sunflower with spirals occurring a Fibonacci

number of times: (1, 1, 2,3, 5, 8, ...)

5.

The complex folding patterns that arise when
paper is put into a machine and squashed.
Believe it or not, there are equations to
describe those waves…

6.

A demonstration of the mathematical
principles required to hold bridges.

7.

Who doesn’t love swinging a pendulum?
Bet you never thought that would be a
representation of a double pendulum

exhibiting chaotic motion.

8.

The proof is in the pudding: cake illustration
of Pythagoras's theorem.

9.
How about some perspective??

Well… That’s about it for now.
Let’s hope you enjoyed this magazine as

much as we enjoyed making it.
So next time you see math..
Don’t have this expression:

Thank you for your time. ?