We use cookies to give you the best experience possible. By continuing we’ll assume you’re on board with our cookie policy

The Koch Snowflake Essay Sample

essay
The whole doc is available only for registered users OPEN DOC
  • Pages:
  • Word count: 213
  • Category: length

Get Full Essay

Get access to this section to get all help you need with your essay and educational issues.

Get Access

The Koch Snowflake Essay Sample

The snowflake model was created in 1904 by Helen von Koch. This snowflake appeared to be one of the earliest fractal curves. The fractal is built by starting with an equilateral triangle. One must remove the inner third of each side and replace it with another equilateral triangle. The process is repeated indefinitely. The length of each side is one which will help you determine the perimeter of each triangle. With having the perimeter of each triangle, the height can be determined so the area can be defined.

The height must be determined because to use the formula A=12bh to find the area of the traingle, the height must be known. After repeating the process for the triangles, the graph below displays the number of sides (Nn) for each snowflake, the length of a single side (In), the length of the perimeter (Pn) and the area (An). In 0 1 2 3 1 1/3 1/9 1/27 Nn 3 12 48 192 Pn 3 4 16/3 64/9 An 3/4 3/4(1+13) 3/4(1+13+427) 3/4(1+13+427+16243)

The behavior of the graph above proves that each time a new snowflake is formed, the perimeter increases by 49. So, by simply multiplying 49to the area prior to, you will generate the area for the next sequence.

We can write a custom essay

According to Your Specific Requirements

Order an essay

You May Also Find These Documents Helpful

Algebra in the Real World and Everyday...

Algebra is used repeatedly in business and science for professions ranging from accountants to astronomers and physicists. The fundamental algebraic equation in accounting is assets = liabilities + capital. Accountants use this equation to balance the books. They also use algebra to calculate journal entries for interest payments and depreciation (Moore, n.d.). To analyze and work with numbers, accountants also need to understand positive and...

To investigate the factors of affecting the...

Aim: To investigate the factors of affecting the resistance of a wire. In this experiment I will be using a metal nichrome wire to show the resistance when the length and width is changed. Variables Variables that I am going to keep the same. Variables that I am going to change. Width- 0.36mm2 Material- Nichrome wire Voltage- 2V Temperature- Room Temperature Length- 10cm, 20 cm,...

Measurements: Accuracy and Precision

1. Convert the length and height measurements for the packet that contains the aluminum shot from units of cm to units of mm using the unit-factor method. Cm is converted to mm using the equation mm= cm/0.10000. So, when you place the 5 or 6.5 cm measurement in the equation you get 5cm= 50 mm and 6.5cm = 65 mm. 2. Convert the temperature measurements...

Get Access To The Full Essay
icon
300+
Materials Daily
icon
100,000+ Subjects
2000+ Topics
icon
Free Plagiarism
Checker
icon
All Materials
are Cataloged Well

Sorry, but copying text is forbidden on this website. If you need this or any other sample, we can send it to you via email.

By clicking "SEND", you agree to our terms of service and privacy policy. We'll occasionally send you account related and promo emails.
Sorry, but only registered users have full access

How about getting this access
immediately?

Become a member

Your Answer Is Very Helpful For Us
Thank You A Lot!

logo

Emma Taylor

online

Hi there!
Would you like to get such a paper?
How about getting a customized one?

Couldn't Find What You Looking For?

Get access to our huge knowledge base which is continuously updated

Next Update Will Be About:
14 : 59 : 59
Become a Member