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ART

INTEGRATION

ACTIVITY

GROUP MEMBERS

ALEN

AALIN

ANANYA

LAVANYA

HIMANSHU

FRACTALS

What are

FRACTALS?

are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop.

Fractal patterns are extremely familiar, since nature is full of fractals. For instance: trees, rivers, coastlines, mountains, clouds, seashells, hurricanes, etc. Abstract fractals – such as the Mandelbrot Set – can be generated by a computer calculating a simple equation over and over.

Mandelbrot set

Some

Famous

Fractals

Sierpinski Triangle

STEPS OF CONSTRUCTION

(SIERPENSKI TRIANGLE)

1

2

STEPS OF CONSTRUCTION

Start with an equilateral triangle.

-Subdivide it into four smaller

congruent equilateral triangles and remove the central triangle.

Repeat step 2 with each

of the remaining

smaller triangles infinitely.

3

FRACTALS IN NATURE

FRACTALS

AROUND US

2

A fractal is a pattern that the laws of nature repeat at different scales. Examples are everywhere in the forest. Trees are natural fractals, patterns that repeat smaller and smaller copies of themselves to create the biodiversity of a forest.

- AFRICAN ARCHITECTURE

Fractals in Architecture

FRACTALS IN

ARCHITECTURE

Architecture is mostly about building places for us to live and work. Fractals appear in architecture for reasons other than mimicking patterns in Nature. To emphasize that fractal architecture arose naturally in different cultures

- EUROPEAN ARCHITECTURE

Are Humans Fractals?

Since the body is full of fractals, we can use fractal math to quantify, describe, diagnose and perhaps soon to help cure diseases. Our brain, lungs, DNA, circulatory system are all fractals.

Are humans Fractals?

THANKING YOU

THE

END

3

Presentation By Ananya

Information in Slide 2 given by Lavanya

Information in Slide 3 given by Danish

Information in Slide 4 given by Himanshu

Fractal drawing made by Alen

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