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**Mpmath****Member**- Registered: 2012-10-11
- Posts: 216

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.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,219

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.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Mpmath****Member**- Registered: 2012-10-11
- Posts: 216

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.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,219

Hi;

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

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Mpmath****Member**- Registered: 2012-10-11
- Posts: 216

Thank you very much!

Winter is coming.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,219

Hi;

You are welcome and welcome to the forum.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,528

Hi. Welcome to MIF.

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**Mpmath****Member**- Registered: 2012-10-11
- Posts: 216

Hi, thanks.

Winter is coming.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,219

Hi MpMath;

May I ask what grade you are in?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,528

I presume he is in the 10th standard.

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**Mpmath****Member**- Registered: 2012-10-11
- Posts: 216

Hi,

I'm in the 13th standard.

Winter is coming.

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,528

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,219

Thank you all for telling me that.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,528

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

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,528

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,219

Yes, I know that. You told me.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,528

Aha! You were lying.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,219

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

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,528

I wish. It is very lonely at a uni.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,219

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

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,528

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.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,219

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

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,528

....That's not nice

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,219

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

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,528

Haha. I was laughing, but I am handicapped.

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