### Design II

Design II

Ambigram by punyamishra

A great design:

Everything fits in nicely

into one complete whole.

Not a hair out of place,

and not one thing

more

than what is

needed.

The form

and the function,

made for each other.

GB #32

### Paradox

Paradox

Ambigram by punyamishra

All Cretans are liars

said Epiminedes,

a Cretan,

a classic Paradox.

If Epiminedes tells the truth

then he must be lying.

And if he is lying,

he is telling the truth.

### Watson-Crick

Watson-Crick

Ambigram by punyamishra

Watson and Crick

show

what fun it is

to be

a scientist.

What fun it is

to discover

something new.

What fun it is

to compete

with the best

and win.

Watson and Crick

discovered

the secret of life

itself.

GB #30

### Internet

Internet

Ambigram by punyamishra

The Internet

inking pacts

across the world.

Linking

and connecting

all humanity.

Shakily

connecting

all the dots

into one

continuous whole.

GB #29

### Internet II

Internet II

Ambigram by punyamishra

Small knots

woven together

become a net.

Flexible, stable,

and very strong.

Small computers

inter-connected

become the Net.

Unleashing

the power

of communication,

of creativity,

and

of community.

Small individuals,

linked together

become the

Internet.

GB #28

### Douglas R Hofstadter

Sides-reversed-is

Ambigram by punyamishra

Douglas R Hofstadter

sides reversed is

Retdatsfoh R Salgoud

sides reversed is

Douglas R Hofstadter

...

is one Strange Loop.

Hofstadter wrote

Godel, Escher and Bach:

An eternal golden braid.

A personal review follows.

### Dog

Dog

Originally uploaded by punyamishra

A dog,

wags his tail,

seeks attention.

And licks your face,

without asking for

your permission.

Comes up close

and becomes

personal.

And becomes

your best friend.

GB #26

### God

God

Originally uploaded by punyamishra

GOD

looks the same

whichever way

you look at it.

Look down from the top

or up from bottom --

and find GOD.

Look in the mirror

and see GOD.

Just like the 0,

symbol for

nothingness.

But still,

required,

to count from

one to infinity.

GB #25

### Math Poettary - Infinite

A brief explanation

The post mentions the sphere as a "one-point compactification" of the (complex) plane (by adding a point at infinity). The property of the sphere being compact somehow makes it a little closer to being "finite" and therefore easier to handle. But to understand more precisely what all this means you need to take a good course in Complex Analysis or Topology.

When studying complex analysis, I thought that the theorems are simpler, more beautiful, and closer to the finite case than analogous theorems in Real Analysis. I don't know whether that is due to the relationship with the sphere, but I suspect it is so.

Here is an example: You know that a polynomial p(x) with real coefficients (and a finite degree) can be written as a product of factors of the form (x-a) where a is a zero of the polynomial. (The root a is of-course a complex number). Turns out, under certain conditions, we can write a function (which can be viewed as an infinite series) as an (infinite) product of its zeros. For example, consider this formula:

Euler's Product:

(The formula above taken from Wikipedia's entry on the Wallis Product.)

The formula looks nicer if you replace x by (pi)x. Then the expression on the left has zeros at +1, +2, +3, ... and -1, -2, -3, .... And on the right you get factors of the form (1-x/n)(1+x/n) which is zero for x = +n and -n.

In fact, the way we write the product is something to do with making the product "converge" (or make sense).

This formula is definitely something I will write about one day. I think I need to pick up a complex analysis book again...its been too long...and have almost forgotten the beautiful stuff I used to see everyday.

### Darwin

Darwin

Ambigram by punyamishra

"Beauty in mathematics,"

says Polya,

"is seeing the truth

without effort."

Polya's dictum applies

to Science

as well.

Darwin explained

nature's bounty --

from simplicity

emerged complexity,

adapting by competing.

Darwin explained

so much, so simply,

so beautifully.

GB #24

### Infinite

Infinite

Originally uploaded by punyamishra

Infinite plane

made compact

becomes a sphere.

Still infinite,

but compact,

somehow closer to

being finite.

GB # 23 (also Math Poettary)

Look here too.

### The Modulus Function

is also continuous.

"This does not mean,"

the Modulus Function

points out,

"that every continuous function

is differentiable too."

Math Poettary #5

### Not differentiable

Going along nicely

without lifting pencil

from paper.

Ouch!

This sharp point

got me,

its not differentiable.

Math Poettary #4

### Continuous function

draw it without

picking up pencil

from paper.

At all points,

the left hand limit

the same as

the right hand limit,

the same as

the value of the function

at the point.

At all points

its value

what it should be.

Math Poettary #3

### Book Review by Tejasi Bhatnagar

BOOK REVIEW: GET SMART! MATHS CONCEPTS

DAILY BARD RATING: 4.5 STARS

Maths Concepts is a book written by Dr. Gaurav Bhatnagar for classes 6th to 8th. The interesting part of this book is that it has jokes and conversations related to maths. A child who gets 60% in maths may get above 90% after reading this book. It contains interesting problems which may look easy but are difficult to solve. It even teaches the ten important ways to do well in mathematics.

FULL DISCLOSURE

Tejasi is the author's daughter. This telegraphic book review was written for a school assignment to write a newspaper (which she named THE DAILY BARD). A character named Tejasi has also featured as one of the many kids having the 'conversations' mentioned in Tejasi's review. This fact may have influenced her interest in the book.

### No-x-in-Nixon

No-x-in-Nixon

Originally uploaded by punyamishra

NO X IN NIXON

A palindrome

but False.

NO X IN NIXON

sides reversed is

NO X IN NIXON

Truly

a longer palindrome.

sides reversed is

sides reversed is

sides reversed is

(repeated ad infinitum)

truly

the longest

palindrome.

GB #22

### Sense-non-Sense

Sense-Non-Sense

Originally uploaded by punyamishra

Image in

No Og

de Nash,

No Jabber

wock soever.

No pun

ya at all.

No Ji,

No Bee,

No ambi,

just potty.

Life sans

non-sense,

makes no sense:

It is

like this sentence.

Meaning less,

or none at all.

Or like this one.

Not funny;

no fun at all.

GB #21

### Love

Love

Originally uploaded by punyamishra

Fools marry the girl they love,

Wise men love the girl they marry,

goes an old dictum.

Love turns

most of us

backwards --

into a fool.

Eventually,

all turn wise.

GB #20

### Play

Play

Originally uploaded by punyamishra

"Come back soon from play,

and finish your work"

is what you hear.

Until work becomes work,

and play, play.

Play hard enough,

and play becomes work.

But, work hard enough,

and work becomes play.

And if you look hard enough,

PLAY becomes LEARN.

Now you don't need,

to hurry back from play.

GB #19

### Discover

Discover

Ambigram by punyamishra

The scientific training,

teaches how to discover.

The artistic training

teaches how to uncover.

The mathematician uncovers,

only to discover --

new things to uncover.

GB #18 (Also Math Poettary)

### Isosceles Triangle

looks in the mirror,

and finds itself un-reversed.

"My base angles are equal,"

it says.

Math Poettary #2

### Darpan (rotates to mirror)

Darpan (rotates to mirror)

Originally uploaded by punyamishra

When you read something in Hindi,

do you turn it around in your mind,

and think it through in English?

When you speak in English,

do you think it through in Hindi,

and turn it around in your mind?

Does your mind let you see

what you really are,

when you look in the mirror?

GB #17

### Blogger

Blogger

Originally uploaded by punyamishra

I may not write very well

but still,

I do write.

I may be confused,

but still,

I do express myself.

I may not have much to say,

but still,

I do say it.

I may not think too deeply,

but still,

I do think.

I am

a Blogger.

GB #16

### Ali

Ali

Originally uploaded by punyamishra

Ali said to himself:

"I'm the Greatest".

And for many,

he was

The Greatest

What do you

tell yourself?

GB #15

### Visual Wordplay

Visual Wordplay

Originally uploaded by punyamishra

A picture, they say,

is worth a thousand words.

Then what about words,

that are also pictures?

What about

Visual wordplay?

GB#14

### Anand (reflection)

Anand (reflection)

Originally uploaded by punyamishra

Anand.

Simple,

humble,

down-to-earth,

impassive.

A nice guy.

Aggressive.

Listens to

his opponent's

breathing,

to read

their mind.

And works his own

with lightening speed.

Anand,

chess champion.

GB #13

### How to buy the book

Delhi: Variety Book Depot – 23412567 / Mr.John

Chennai: India Book Distributors – 044 28353173 / Vinay Anchan

Desh kumar (Penguin Rep) - 9789087712

Mumbai: Strand Mumbai - 022-22086109 / Madhu

Ketan Patel (Penguin Rep) - 9867189490

For online book store you can go to www.firstandsecond.com

### Smita

Smita

Originally uploaded by punyamishra

P-Smita,

A love story.

Psmita,

listened patiently,

to every story

through the night.

While the Other

dropped off.

Psmita,

flipped P over,

for ever

and ever.

Psmita,

continues to

listen patiently --

even though

this P

is never silent.

Gb #12

### Good-Evil

Good-Evil

Originally uploaded by punyamishra

Good and Evil,

black and white.

One cannot exist

without the other.

When you remove

the evil,

is good

left-over?

GB # 11

### Madam-i'm-Adam

Madam-i'm-Adam

Originally uploaded by punyamishra

Madam I'm Adam.

Could be the first

sentence ever spoken,

the first

palindrome.

It reads the same

front to back

and back to front.

Flip it over,

and still,

its the same.

First ever sentence,

an ambigram.

GB #10

### Teach-Learn

Teach-Learn

Originally uploaded by punyamishra

We are here

to teach what we learn,

and to learn what we teach.

We are here

to learn when we teach,

and teach when we learn.

to give what we have,

and take what we can.

GB #9

### Teach-Learn (all mixed up)

Teach-Learn (all mixed up)

Originally uploaded by punyamishra

Some say that

one teaches best,

what one needs to learn

the most.

Teach-Learn

Two sides

of the same coin?

Or are they,

one and the same?

GB #8

### Ambigram Poettery

I call it poettery, because it is the product of my pottering around the poetry format. Really, its not poetry in the sense of the word-- can't really say I don't really understand the sense of the word.

Ambigrams, though, are something that are really interesting, and people interested in math are likely to like them.

You can read Punya's flattered introduction to ambi-poettary here.

### Binary Pascal's Triangle

Binary Pascal's Triangle

Originally uploaded by GauravBhatnagar

"Bit by bit,

I understand,

the triangle of Sierpinski"

says Pascal?

Math Poettary #1

### Logical

Logical

Originally uploaded by punyamishra

Logical

If o looks like a,

Then a looks like o,

and conversely.

Look at the mirror g

and tell me,

what can you see?

Through the looking glass

they say,

beyond what is

logical,

you can find

the meaning of life --

the universe, everything:

The number 42.

GB #7

### ADAM

ADAM

Originally uploaded by punyamishra

Madam

I'

m

Adam.

Reads the same

front to back

and back to front.

So does Madam,

I,

and

m.

And surprise,

so does

Adam.

GB #6

### A-life (artificial life, spiral)

A-life (artificial life, spiral)

Originally uploaded by punyamishra

A Life

Changing a little

at a time.

A slightly different

point of view,

another shift

in perspective.

A Life,

you would think,

spirals endlessly.

Its an illusion:

Its finite,

like everything else.

GB #5

### A-life (artificial life) III

A-life (artificial life) III

Originally uploaded by punyamishra

A Life

black and red,

completely Square.

Looks the same

whichever way

you look at it.

Going around

a circle.

That's it?

GB #4

### Punya

Punya

Originally uploaded by punyamishra

A Pun-

A bad one,

or a good 1,

is just a Pun.

You'll never know,

whether

I say what I mean,

or I mean what I say.

A good pun, ya?

GB #3

### A-life (artificial life) II

A-life (artificial life) II

Originally uploaded by punyamishra

A Life.

What a life!

It gets further

and further

from itself.

And smaller

and smaller

forever.

And dissolves into

nothingness.

GB #2

### A-life (artificial life) I

A Life

is no life.

Turn it around

its the same.

What A Life.

From A to E,

not worth living.

GB #1