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# The Koch Snowflake Sample Essay

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The snowflake theoretical account was created in 1904 by Helen von Koch. This snowflake appeared to be one of the earliest fractal curves. The fractal is built by get downing with an equilateral trigon. One must take the interior 3rd of each side and replace it with another equilateral trigon. The procedure is repeated indefinitely. The length of each side is one which will assist you find the margin of each trigon. With holding the margin of each trigon. the tallness can be determined so the country can be defined.

The tallness must be determined because to utilize the expression A=12bh to happen the country of the traingle. the tallness must be known. After reiterating the procedure for the trigons. the graph below displays the figure of sides ( Nn ) for each snowflake. the length of a individual side ( In ) . the length of the margin ( Pn ) and the country ( 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 behaviour of the graph above proves that each clip a new snowflake is formed. the margin additions by 49. So. by merely multiplying 49to the country prior to. you will bring forth the country for the following sequence.

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