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The Fractal World Erosion River Basins River Flow The Fractal Structure of the Universe Bjrn Birnir Center for Complex and Nonlinear Science Department of Mathematics UC Santa Barbara The Discovery Center June 2011 logocircleonly.pdf

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

The Fractal Structure of the Universe

Björn Birnir

Center for Complex and Nonlinear Science Department of Mathematics UC Santa Barbara

The Discovery Center June 2011

Birnir The Fractal Structure of the Universe

SLIDE 2

logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Outline

1

The Fractal World

2

Erosion

3

River Basins

4

River Flow

Birnir The Fractal Structure of the Universe

SLIDE 3

logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Outline

1

The Fractal World

2

Erosion

3

River Basins

4

River Flow

Birnir The Fractal Structure of the Universe

SLIDE 4

logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Most things made by nature are fractals

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Most things made by nature are fractals

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Fractal Nautilus Shell

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

They come in beautiful self-similar shapes

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Real Snowflakes

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Fractals Shorelines

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Fractal Shorelines and Fjords

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Our Man-made World Consists of Boxes

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

We even tried to put the human body into a rectangle

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Most things made by nature are not rectangular or circular

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Leafs and Tree-branches are fractals

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Fractal lightnings and crystals

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Perhaps life itself has a fractal structure

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Outline

1

The Fractal World

2

Erosion

3

River Basins

4

River Flow

Birnir The Fractal Structure of the Universe

SLIDE 18

logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Erosion

How does the surface of the Earth evolve?

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

River Valleys with Uplift

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Mountain Ranges are Fractals

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

The Merging of the Rivulets

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Outline

1

The Fractal World

2

Erosion

3

River Basins

4

River Flow

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

The Cache la Poudre River Basin near Ft. Collins, CO

We all live in a river basin

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

The Amazon River Basin

Birnir The Fractal Structure of the Universe

SLIDE 25

logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Outline

1

The Fractal World

2

Erosion

3

River Basins

4

River Flow

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

Meanderings of the Mississippi

Birnir The Fractal Structure of the Universe

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logocircleonly.pdf The Fractal World Erosion River Basins River Flow

A Drawing of an Eddy

Studies of Turbulence by Leonardo da Vinci

Birnir The Fractal Structure of the Universe