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Stellar numbers

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  • Essay length: 2259 words
  • Submitted: 21/10/2010
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International Baccalaureate Maths

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The first 200 words of this essay...

IB 2 Mathematical Portfolio:

Stellar Numbers

Michael Diamond

IB Math SL 2

September 16, 2010

Mr. Hillman

Block G

Table of Contents:

Page 3

-Introduction

-Triangular Numbers

Page 7

-Stellar Numbers

Page 12

-Other stellar numbers

Page 15

-Conclusion

Introduction:

Certain geometric shapes can yield special types of numbers. The simplest examples of these numbers would square numbers 1, 4, 9, 16, which are the squares of the values 1, 2, 3 and 4 as demonstrated by this table and by the formula . Henceforth, all tables generated are from the Numbers program by the macintosh company and all mathematical notation is from the program Mathtype 6.0. Any graphs displayed will be generated from the graph program "Graph 4.3."

1

1

3

2

2

4

5

2

3

9

7

4

16

In this investigation the following geometric shapes shall be considered for investigation in order to determine how many dots are in each type of shape from triangular figures to stellar (star) figures. With the ultimate goal

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