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Number of Iterations of Koch Curve given Length after n Iterations Formula

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The Number of Iterations of Koch Curve is the number of steps completed during the process of iteration in the formation of Koch Curve. Check FAQs

n = \frac{\ln (\frac{l n}{l 0})}{\ln (\frac{4}{3})}

n - Number of Iterations of Koch Curve?l_n - Length of Koch Curve after n Iterations?l₀ - Initial Length of Koch Curve?

Number of Iterations of Koch Curve given Length after n Iterations Example

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Here is how the Number of Iterations of Koch Curve given Length after n Iterations equation looks like with Values.

Here is how the Number of Iterations of Koch Curve given Length after n Iterations equation looks like with Units.

Here is how the Number of Iterations of Koch Curve given Length after n Iterations equation looks like.

3 = \frac{\ln (\frac{64}{27})}{\ln (\frac{4}{3})}

3 = \frac{\ln (\frac{64m}{27m})}{\ln (\frac{4}{3})}

3 = \frac{\ln (\frac{64}{27})}{\ln (\frac{4}{3})}

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Number of Iterations of Koch Curve given Length after n Iterations Solution

Follow our step by step solution on how to calculate Number of Iterations of Koch Curve given Length after n Iterations?

FIRST Step Consider the formula

n = \frac{\ln (\frac{l n}{l 0})}{\ln (\frac{4}{3})}

Next Step Substitute values of Variables

∴

n = \frac{\ln (\frac{64m}{27m})}{\ln (\frac{4}{3})}

Next Step Prepare to Evaluate

∴

n = \frac{\ln (\frac{64}{27})}{\ln (\frac{4}{3})}

LAST Step Evaluate

∴

n = 3

Number of Iterations of Koch Curve given Length after n Iterations Formula Elements

Variables

Functions

Number of Iterations of Koch Curve

The Number of Iterations of Koch Curve is the number of steps completed during the process of iteration in the formation of Koch Curve.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Iterations of Koch Curve

Length of Koch Curve after n Iterations

The Length of Koch Curve after n Iterations is the length of Koch Curve after completing n number of iterations on the original or initial length.

Symbol: l_n

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Koch Curve after n Iterations

Initial Length of Koch Curve

The Initial Length of Koch Curve is the length of the curve which undergoing iteration to form the Koch Curve of respective iteration order.

Symbol: l₀

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Length of Koch Curve

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Koch Curve category

Go Length of Koch Curve after n Iterations

l n = {(\frac{4}{3})}^{n} \cdot l 0

Go Height of Koch Curve

h = \frac{\sqrt{3}}{6} \cdot l 0

Go Initial Line Length of Koch Curve given Height

l 0 = 2 \cdot \sqrt{3} \cdot h

Go Initial Line Length of Koch Curve given Length after n Iterations

l 0 = {(\frac{3}{4})}^{n} \cdot l n

How to Evaluate Number of Iterations of Koch Curve given Length after n Iterations?

Number of Iterations of Koch Curve given Length after n Iterations evaluator uses Number of Iterations of Koch Curve = (ln(Length of Koch Curve after n Iterations/Initial Length of Koch Curve))/(ln(4/3)) to evaluate the Number of Iterations of Koch Curve, The Number of Iterations of Koch Curve given Length after n Iterations formula is defined as the number of steps n of iteration process after which the desired Koch Curve gets, and calculated using the length of the Koch Curve after n iterations. Number of Iterations of Koch Curve is denoted by n symbol.

How to evaluate Number of Iterations of Koch Curve given Length after n Iterations using this online evaluator? To use this online evaluator for Number of Iterations of Koch Curve given Length after n Iterations, enter Length of Koch Curve after n Iterations (l_n) & Initial Length of Koch Curve (l₀) and hit the calculate button.

FAQs on Number of Iterations of Koch Curve given Length after n Iterations

What is the formula to find Number of Iterations of Koch Curve given Length after n Iterations?

The formula of Number of Iterations of Koch Curve given Length after n Iterations is expressed as Number of Iterations of Koch Curve = (ln(Length of Koch Curve after n Iterations/Initial Length of Koch Curve))/(ln(4/3)). Here is an example- 3 = (ln(64/27))/(ln(4/3)).

How to calculate Number of Iterations of Koch Curve given Length after n Iterations?

With Length of Koch Curve after n Iterations (l_n) & Initial Length of Koch Curve (l₀) we can find Number of Iterations of Koch Curve given Length after n Iterations using the formula - Number of Iterations of Koch Curve = (ln(Length of Koch Curve after n Iterations/Initial Length of Koch Curve))/(ln(4/3)). This formula also uses Natural Logarithm Function function(s).

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Number of Iterations of Koch Curve given Length after n Iterations Formula

Number of Iterations of Koch Curve given Length after n Iterations Example

Number of Iterations of Koch Curve given Length after n Iterations Solution

Number of Iterations of Koch Curve given Length after n Iterations Formula Elements

Other formulas in Koch Curve category

How to Evaluate Number of Iterations of Koch Curve given Length after n Iterations?

FAQs on Number of Iterations of Koch Curve given Length after n Iterations

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