Uploaded on Jul 7, 2011
Mysteriously beautiful fractals are shaking up the world of mathematics and deepening our understanding of nature.
A fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," a property called self-similarity.
Fractals: they're famously found in nature and artists have created some incredible renderings as well. Fractals are purely a wonder -- too irregular for Euclidean geometry; iterative and recursive and seemingly infinite. They turn up in food and germs, plants and animals, mountains and water and sky.
A fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," a property called self-similarity.
Fractals: they're famously found in nature and artists have created some incredible renderings as well. Fractals are purely a wonder -- too irregular for Euclidean geometry; iterative and recursive and seemingly infinite. They turn up in food and germs, plants and animals, mountains and water and sky.
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PBS Nova - Fractals - Hunting the Hidden Dimension
Mysteriously beautiful fractals are shaking up the world of
mathematics and deepening our understanding of nature. You may not know it, but
fractals, like the air you breathe, are all around you.
Their irregular, repeating shapes are found in cloud
formations and tree limbs, in stalks of broccoli and craggy mountain ranges,
even in the rhythm of the human heart.
In this documentary film, we takes viewers on a fascinating
quest with a group of maverick mathematicians determined to decipher the rules
that govern fractal geometry.
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