Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

## #1 2012-10-12 17:23:55

Mpmath
Full Member

Offline

### Pascal's square

Hi everyone!

I'm new to the forum and I wanted to share my Pascal's square. The criterion is the same of the triangle. Numbers are obtained from the sum of the numbers in each row and each column. I hope you enjoy it! Any feedback is welcome.

Pascal's square

1     1     2     4     8
1     1     2     4     8
2     2     4     8    16
4     4     8    16   32
8     8    16   32   64
16   16   32   64  128

Winter is coming.

## #2 2012-10-12 19:23:06

bobbym

Online

### Re: Pascal's square

HI Mpmath;

Welcome to the forum. Yours is a little different than Pascals triangle.

Notice that each number is the sum of the two on top of it.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #3 2012-10-13 01:35:56

Mpmath
Full Member

Offline

### Re: Pascal's square

Hi,
Thanks for the comment.
But tris square it's not so similar to the Pascal's triangle, because numbers are very different (I notice that all of the square are exponents of 2) and they follow  this rule:

1 + 1 = 2
+    +    +
1 + 1 = 2
=    =    =
2 + 2 = 2

Winter is coming.

## #4 2012-10-13 01:52:46

bobbym

Online

### Re: Pascal's square

Hi;

Yes, I did notice that. Keep up the good work!

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #5 2012-10-13 03:56:51

Mpmath
Full Member

Offline

### Re: Pascal's square

Thank you very much!

Winter is coming.

## #6 2012-10-13 09:59:47

bobbym

Online

### Re: Pascal's square

Hi;

You are welcome and welcome to the forum.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #7 2012-10-16 00:45:55

ShivamS
Super Member

Offline

### Re: Pascal's square

Hi. Welcome to MIF.

I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

## #8 2012-10-16 01:04:21

Mpmath
Full Member

Offline

### Re: Pascal's square

Hi, thanks.

Winter is coming.

## #9 2012-10-16 01:23:59

bobbym

Online

### Re: Pascal's square

Hi MpMath;

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #10 2012-10-16 01:33:23

ShivamS
Super Member

Offline

### Re: Pascal's square

I presume he is in the 10th standard.

I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

## #11 2012-10-16 01:57:38

Mpmath
Full Member

Offline

### Re: Pascal's square

Hi,
I'm in the 13th standard.

Winter is coming.

## #12 2012-10-16 01:59:53

ShivamS
Super Member

Offline

### Re: Pascal's square

Ah. I am in 8th (or rather university- either way, I am 12 years old).

I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

## #13 2012-10-16 02:01:11

bobbym

Online

### Re: Pascal's square

Thank you all for telling me that.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #14 2012-10-16 02:02:09

ShivamS
Super Member

Offline

### Re: Pascal's square

Bobbym, all? You already know that I go to Yale.

I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

## #15 2012-10-16 02:03:11

ShivamS
Super Member

Offline

### Re: Pascal's square

And pardon my mistake, I am 13 years old (I believe I am not allowed to release my age if I am under 13).

I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

## #16 2012-10-16 02:06:18

bobbym

Online

### Re: Pascal's square

Yes, I know that. You told me.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #17 2012-10-16 02:07:03

ShivamS
Super Member

Offline

### Re: Pascal's square

Aha! You were lying.

I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

## #18 2012-10-16 02:08:52

bobbym

Online

### Re: Pascal's square

Lying, not a chance. You did reveal a new fact, I thought you were older than that.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #19 2012-10-16 02:10:12

ShivamS
Super Member

Offline

### Re: Pascal's square

I wish. It is very lonely at a uni.

I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

## #20 2012-10-16 02:11:45

bobbym

Online

### Re: Pascal's square

It can be lonely. You can always talk to me or someone else in here.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #21 2012-10-17 08:38:08

ShivamS
Super Member

Offline

### Re: Pascal's square

No one there at Yale likes me. I am the handicapped kid using a walker sitting in the corner reading about stem cell research. Literally.

I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

## #22 2012-10-17 10:44:46

bobbym

Online

### Re: Pascal's square

Do not worry. No one here likes you but we will still talk to you.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #23 2012-10-17 12:45:04

ShivamS
Super Member

Offline

### Re: Pascal's square

....That's not nice

I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

## #24 2012-10-17 13:11:46

bobbym

Online

### Re: Pascal's square

Just joking. I thought that would make you laugh. Irony is often funny.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #25 2012-10-17 13:20:51

ShivamS
Super Member

Offline

### Re: Pascal's square

Haha. I was laughing, but I am handicapped.

I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann