FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

GoInitial Line Length of Koch Curve given Height Formula

Fx Copy

LaTeX Copy

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

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

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

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

With values

With units

Only example

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

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

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

27 = {(\frac{3}{4})}^{3} \cdot 64

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

27 = {(\frac{3}{4})}^{3} \cdot 64

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Initial Line Length of Koch Curve given Length after n Iterations

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l 0 = {(\frac{3}{4})}^{3} \cdot 64m

Next Step Prepare to Evaluate

∴

l 0 = {(\frac{3}{4})}^{3} \cdot 64

LAST Step Evaluate

∴

l 0 = 27m

Initial Line Length of Koch Curve given Length after n Iterations Formula Elements

Variables

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

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

Other Formulas to find Initial Length of Koch Curve

Go Initial Line Length of Koch Curve given Height

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

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 Number of Iterations of Koch Curve given Length after n Iterations

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

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

Initial Line Length of Koch Curve given Length after n Iterations evaluator uses Initial Length of Koch Curve = (3/4)^Number of Iterations of Koch Curve*Length of Koch Curve after n Iterations to evaluate the Initial Length of Koch Curve, The Initial Line Length of Koch Curve given Length after n Iterations formula is defined as the length of line from which Koch Curve forms after iterations, and calculated using the length after n iterations. Initial Length of Koch Curve is denoted by l₀ symbol.

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

FAQs on Initial Line Length of Koch Curve given Length after n Iterations

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

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

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

With Number of Iterations of Koch Curve (n) & Length of Koch Curve after n Iterations (l_n) we can find Initial Line Length of Koch Curve given Length after n Iterations using the formula - Initial Length of Koch Curve = (3/4)^Number of Iterations of Koch Curve*Length of Koch Curve after n Iterations.

What are the other ways to Calculate Initial Length of Koch Curve?

Here are the different ways to Calculate Initial Length of Koch Curve-

Initial Length of Koch Curve=2*sqrt(3)*Height of Koch Curve

Can the Initial Line Length of Koch Curve given Length after n Iterations be negative?

No, the Initial Line Length of Koch Curve given Length after n Iterations, measured in Length cannot be negative.

Which unit is used to measure Initial Line Length of Koch Curve given Length after n Iterations?

Initial Line Length of Koch Curve given Length after n Iterations is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Initial Line Length of Koch Curve given Length after n Iterations can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

​GoInitial Line Length of Koch Curve given Height Formula

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

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

Initial Line Length of Koch Curve given Length after n Iterations Formula Elements

Other Formulas to find Initial Length of Koch Curve

Other formulas in Koch Curve category

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

FAQs on Initial Line Length of Koch Curve given Length after n Iterations

Variable Name

GoInitial Line Length of Koch Curve given Height Formula