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# 2D cross shape - Rearranging the Shape

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• Essay length: 532 words
• Submitted: 11/07/2002
University Degree Mathematics

The first 200 words of this essay...

Formulas

2D cross shape

Rearranging the Shape

I thought by rearranging the shapes individual squares I might be able to come up to a solution for the problem. I may be able to produce a pattern of squares or any other kind of shapes to show a formula for the crosses

Firstly I found that the largest sized squares I could make from the cross shape above were 3?3

Then with the squares I had left I could make a rectangle 2?3

But to keep this like the first part I had all ready found I will display it as

Then I only had 1 square left

Then I looked at each of the shapes I produced in their relation to n or what term the cross shape was in the sequence.

The cross shape I made my shapes from was 4th in the sequence the side of the squares were 3?3 and the length of the 2 rectangles were 3 all the measurements I had found were one less than n, all except from the 1 square by itself

An equation I could use for one of the squares was

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