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Yes - as you "zoom in" on the sides of the snowflake, the same pattern occurs infinitely.
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What is the relationship between the perimeter and area when area is fixed?
For a fixed area, the perimeter is minimum for a circle, but has no maximum. Fractal figures (such as Koch snowflake) may have a finite area within an infinite perimeter.
What mathematics is involved in 3d snowflake?
Probably fractal geometry.
What is a ''Fractal''?
A fractal is a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole (self similar). The term "fractal" was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured." A mathematical fractal is based on an equation that undergoes iteration, a form of feedback based on recursion.
What fractal is created when each line segment is bent up at the middle so that its length is increased by?
koch curve
Do all fractals have an infinite perimeter and finite area?
yes! the best example would be the Koch snowflake.
How do you work out the perimeter of the Koch snowflake fractal?
Technically, you can't. The Koch snowflake is self-similar. So the perimeter is infinity.
What is special characteristic of koch snowflake?
It is a fractal: each enlargement of the snowflake is an identical image.
What is the name of the most famous fractal triangle?
Either the koch snowflake or the Sierpinski triangle
When was the koch curve fractal discovered?
The Koch curve was first described in 1904.
What is the relationship between the perimeter and area when area is fixed?
For a fixed area, the perimeter is minimum for a circle, but has no maximum. Fractal figures (such as Koch snowflake) may have a finite area within an infinite perimeter.
How do you find the area of a koch snowflake?
you find the area of a koch snowflake using z=(n-1)x/3
What mathematics is involved in 3d snowflake?
Probably fractal geometry.
When was the Koch Snowflake created?
1904
How do you use the word Fractal in a sentence?
My computer aided design software uses fractal units to make a representation of a snowflake.
What is a ''Fractal''?
A fractal is a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole (self similar). The term "fractal" was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured." A mathematical fractal is based on an equation that undergoes iteration, a form of feedback based on recursion.
Is the Koch Snowflake self-similar?
Yes.
How many iterations are in the koch snowflake?
an infinite number.
