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Fractals in the Human Body
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Fractals in Blood Vessels
Fractal Canopy
Similarly to bronchial tubes, splitting can also be found in blood vessels. Arteries, for example start with the aorta, which splits into smaller blood vessels. The smaller ones split as well, and the splitting continues until the capillaries, which, just like alveoli, are extremely close to each other.
Fractal Dimension of Arteries: 2.7
Fractals in the Lungs
Fractal Dimension
The bronchial tubes in the human lung have one fractal dimension for the first seven generations of branching, and a different fractal dimension from there on in. This maximizes the surface area on which gas exchange takes place. This increases the efficiency of the lungs
Fractal Canopy
Fractal Dimension of the bronchioles: very close to 3
The branching of trachea and bronchioles is similar to fractal canopies. This has to do with bifurcation, which is the splitting one thing into two main parts. In a fractal canopy, you take a line segment and split it into two smaller segments at the end. This is the same process that takes place in the lungs. Fractal branching makes available much more surface area for absorption and transfer in bronchial tubes.
Fractals in the Brain
Fractals in the Heart
Fractal Dimension
Self similarity in the human heartbeat
The brain is covered in folds, which gives the brain increased surface area for neurons. This can only be modeled by fractal geometry.
Just like the branches of a self similar tree, the beats of the healthy human heart are statistically self-similar
Fractal Dimension of Brain: 2.73-2.79
The healthy heart is the irregular heart
What are fractals?
Fractals are never ending patterns
Fractals are the same over many different scales
and are formed by repetition
Fractals have non-integer dimensions which means that they can dimensions between 1 and 2 or between 2 and 3
Fractals in the Human Body
Fractals are found both in nature and in
mathematics
Sierpinski Triangle
Fractal in Nature