Fractal
13
Fractal • A fractal is a mathematical set that typically displays self-similar patterns, which means they are "the same from near as from far "
-
Upload
niks1rock -
Category
Engineering
-
view
79 -
download
2
description
beauty of nature
Transcript of Fractal
Fractal
• A fractal is a mathematical set that typically displays self-similar patterns, which means they are "the same from near as from far"
Natural phenomena with fractal features
fractal in architecture
Sierpinski triangle
• Originally constructed as a curve, this is one of the basic examples of self-similar sets, i.e. it is a mathematically generated pattern that can be reproducible at any magnification or reduction
Constructionof
Sierpinski triangle
The Koch Curve
we see the third order Koch island (or snowflake)
is the fifth order Koch curve, magnified four times
The sixth order Koch curve
The Koch snowflake
• The Koch snowflake (also known as the Koch star and Koch island[1]) is a mathematical curve and one of the earliest fractal curves to have been described. It is based on the Koch curve, which appeared in a 1904 paper titled "On a continuous curve without tangents, constructible from elementary geometry" (original French title: Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire) by the Swedish mathematician Helge von Koch.
Constructionof
Snowflake
MADE BY:-Nikhil Chaurasiya
AndVipin Bhatt
