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April 1st, 2010, 04:48 AM  #1 
Newbie Joined: Mar 2010 Posts: 4 Thanks: 0  NEED RULE or FORMULA  Triangle Problem
Hi all, I have to say I'm very dissappointed. My previous post had quite a few views but no replies?!? Anyway, by reinvigorating the problem maybe I can get a result! So, here is the problem: I am using Right Isosceles Triangles, I only want to rotate them by 90 degrees and by doing this I want to know the total number of possible shapes, with at least 1 side of each triangle touching. Below is an example of the type of triangle, the method of rotation and a visual of what I mean by the "shape" (created with at least 1 side of each triangle touching). I have illustrated "shapes" created using 2 triangles; however, I would like a rule to give a total number of possible shapes when using, 2, 3, 4...up to 10 triangles if possible! Any questions or problems with my explanation, please reply and I'll be happy to settle any confusion. NOTE: Remember, at least 1 side of each triangle must be touching another & rotation is only at 90 degrees. Thanks! 
April 5th, 2010, 06:30 AM  #2 
Newbie Joined: Mar 2010 Posts: 19 Thanks: 0  Re: NEED RULE or FORMULA  Triangle Problem
I'm trying to make a rule. Hold on!

April 5th, 2010, 06:43 AM  #3 
Newbie Joined: Mar 2010 Posts: 19 Thanks: 0  Re: NEED RULE or FORMULA  Triangle Problem
The main problem is that some shapes are symmetrical, so only 2 rotations are allowed. Otherwise it would be . I dont think it can be made then 
April 5th, 2010, 06:56 AM  #4 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond  Re: NEED RULE or FORMULA  Triangle Problem
What happens when you reach 5 triangles?

April 6th, 2010, 02:48 PM  #5 
Newbie Joined: Mar 2010 Posts: 19 Thanks: 0  Re: NEED RULE or FORMULA  Triangle Problem
What you mean?


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