You must have Credits on your Balance to download this sample

High school

Essay

Science

Pages 3 (753 words)

Download 0

At stage 1 each side of the equilateral triangle is replaced by the zigzag line as shown on the page 7 against the label stage 1 with each segment of the zigzag line being of length 1/3. At this stage for each side of the equilateral triangle in the stage 0 there are 4 sides and thus the total number of sides is 4*3=12 and perimeter is calculated by the number of sides times the length of a side in this stage i.e…

Get more done in less time

Let us write a custom essay on your topic

“Maths investigation” with a personal 15% discount.

Order now
## Introduction

1/3*1/3=1/9. Thus the number of sides is increased by 4 times i.e. 4*12=48. Length of the side is decreased by 3 times. The perimeter is calculated directly as number of sides in this stage multiplied by the length of the side in the same stage i.e.48*1/9. Now each side in the previous stage gives rise to one equilateral triangle in this stage with side 1/3 of the side in the previous stage i.e.1/9. Therefore the number of new triangles added in this stage is equal to the number of sides in the previous stage i.e. 12. Therefore the area in this stage is calculated as the area in the previous stage plus the sum of the areas of the newly developed triangles.

In the above graph the stage number is taken on x-axis and the no. of sides are taken on y-axis. It shows that the no. of sides increases with the stage number. As n-> Nn ->, since in the limiting situation the fractal does not have an edge but is bound by a smooth curve.

...

Download paper
Not exactly what you need?

### Related papers

Investigating borders
Now we will first find the formula for the white squares and after that the formula for the total squares. Subtracting from the total squares the number of white squares we will get the number of black squares.…

Mathematical Tasks
A mathematical task like the one below entails many more mathematical objects apart from geometry because algebra can also be involved.…

Statistics Project
So aaccording to given conditions we state that null hypothesis and alternative hypothesis will be…

Maths investigation
1/3*1/3=1/9. Thus the number of sides is increased by 4 times i.e. 4*12=48. Length of the side is decreased by 3 times. The perimeter is calculated directly as number of sides in this stage multiplied by the length of the side in the same stage i.e.48*1/9. Now each side in the previous stage gives rise to one equilateral triangle in this stage with side 1/3 of the side in the previous stage…

Headspace Analysis
This technique has been used to identify spoiled food, fragrances from botanical material, the determination of plasticizers in plastics and for forensic samples involving arson snuff. Its main component, nicotine is habit forming and other compounds produced by pyrolysis during smoking are carcinogenic and can cause a number of other health problems. Tobacco is an extremely valuable export in the…

Forensic Anthropology
Having understood the two, it is then necessary to draw a link between the two or evaluate all the possible relationships between the two. It will also be imperative to reckon that a marriage between the two possible brings forth what is commonly termed as forensic anthropology. This paper seeks to show how biological anthropologist assist with a forensic investigation besides identification of…