Posts tagged with fractals
Branch out with some Fractals
Breathe. As your lungs expand, air fills 500 million tiny alveoli, each a fraction of a millimeter across. As you exhale, these millions of tiny breaths merge effortlessly through larger and larger airways into one ultimate breath. These airways are fractal. Fractals are a mathematical tool for describing objects with detail at every scale. Mathematicians and […]
Da Vinci inspires Museum Exhibit
For Leonardo da Vinci, mathematics was the ultimate key to understanding nature and could be applied in both art and science. He applied the results of his wide exploration of Mathematics, in particular the key principles of geometry and proportions, to all other disciplines of his practice. Da Vinci’s interest in geometry was instigated by […]
Serious Fun with Fractals
The Fractal Foundation has put together some great resources on this intriguing topic. They note, “We can find fractals all over the natural world, from tiny patterns like seashells up to the giant spirals of the galaxies. Trees, river networks, mountains, coastlines, lightning bolts, blood vessels, flowers, etc are all examples of natural fractals. We […]
Build your own Koch Snowflake
The Koch snowflake is a mathematical curve and one of the earliest fractal designs to have been described. It is based on the Koch curve, which appeared in a 1904 paper titled “On a continuous curve without tangents, constructible from elementary geometry” by the Swedish mathematician Helge von Koch. (Source: Wikipedia). The Koch snowflake can be constructed by starting with an equilateral triangle, then recursively […]
Fractals and other top pictures from 2012
Happy Valentine’s Day with Fractal Maths
Exploring Fractals can release your mathematical creativity. “A fractal is a never-ending patter, created by repeating a simple process over and over in an ongoing feedback loop. Fractals are images of dynamic systems – the pictures of Chaos. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely familiar, since nature is full […]