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**jacks****Member**- Registered: 2012-11-21
- Posts: 80

[1] Calculation of Total no. of **Triangles ** form joining any **3** points in a Given Figure.

[2] Calculation of Total no. of **Square ** form joining any **4** points in a Given Figure.

[2] Calculation of Total no. of **Rectangle** form joining any **4** points in a Given Figure.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,394

hi jacks,

I suggest you start with squares; that looks easiest to me.

You can have squares that are 1 by 1; 2 by 2; 3 by 3; and 4 by 4.

EDIT: You should also count the squares that are at 45 degrees to the grid.

There's an easy pattern to this, so finding that is a good beginning to the harder rectangle case.

Bob

*Last edited by bob bundy (2013-09-29 09:13:07)*

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,705

Hi;

**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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