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Brooklyn Ireson

on 7 March 2014

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Transcript of Fractals

What are Fractals?
Mandlebrot Set
The Mandelbrot set is a mathematical set, a collection of numbers.
What Are Fractals?
The pulmonary system is composed of many tubes. Starting with the main tube, the trachea, splits into smaller tubes called the bronchi. The bronchi tubes split into smaller tubes which split further and further until it gets to the bronchioles, the smallest tubes. This type of tube is like many typical fractals, which are formed by splitting lines.
Examples of Fractals in the Body
Our brains are full of fractals! In fact, they couldn't function if not for fractal geometry. The human brain comprises approximately 100 billion neurons. Amazingly, there are about 100 trillion synapses, or connections, among these brain cells. That's an average of 1000 connections for a given cell, though some neurons may only make a single connection, while others may have hundreds of thousands of synapses with cells all over the brain.
The heart is filled with fractal networks: the coronary arteries and veins, the fibers binding the valves to the heart wall, the cardiac muscles themselves, and the His-Purkinje system. In addition to fault-tolerance during growth, fractal branching makes available much more surface area for absorption and transfer in bronchial tubes, capillaries, intestinal lining, and bile ducts.
Fractals in the Body
Some examples of fractals in the human body include blood vessels, lungs, the heart, and the brain. The respiratory, circulatory, and nervous systems are remarkable instances of fractal architecture, each have branches that split off again and again.
In simpler terms, an endless pattern that repeats itself at different scales.
Fractals are geometric figures in which
similar patterns reoccur at progressively
smaller scales.
Mandlebrot sets are infinitely complex, meaning you can zoom in endlessly.
They are formed by calculating a simple equation thousands of times, feeding the answer back into the start.
Found virtually anywhere: trees, rivers, galaxies, etc.
Fractals in Blood Vessels
Fractals play a large role in the flow of blood through the human body.
Every cell in the body must be close to a blood vessel to receove nutrients. The fractal formation of the blood vessels allow for blood to travel near every cell in the body.
The redundancy of fractal structures make them robust against injury. For example, the heart can continue to function even after the His-Purkinje system has suffered considerable damage.
Haley Tranum
Brooklyn Ireson
Full transcript