{"id":766,"date":"2017-09-04T18:18:14","date_gmt":"2017-09-04T22:18:14","guid":{"rendered":"https:\/\/geekhaus.com\/math103_fall2017\/?p=766"},"modified":"2017-10-11T11:18:43","modified_gmt":"2017-10-11T15:18:43","slug":"barnsley-fern","status":"publish","type":"post","link":"https:\/\/geekhaus.com\/math103_fall2017\/2017\/09\/04\/barnsley-fern\/","title":{"rendered":"Barnsley Fern"},"content":{"rendered":"

The fractal I chose to print is the Barnsley Fern. I love how simple this object is from afar and how intricate it gets when you really look at it.<\/p>\n

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I believe this is a fractal because it can be constructed by a pattern of identical shapes continuously placed on top of and next to each other.<\/p>\n

As stated in the wikipedia page<\/a> for this fractal, it was created by British mathematician Michael Barnsley<\/a> in 1988. It was included in his book\u00a0Fractals Everywhere<\/em>, which described different fractals that can simultaneously be seen in nature and artificially produced.<\/p>\n

I love how the Barnsley Fern is relatable to human life – it resembles a plant that most of us have seen first hand, but it also has a complex mathematical background.<\/p>\n

The photo below shows the Barnsley Fern in four succesive stages of its development.<\/p>\n

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As you can see with the bright color used, the object gets thicker with each stage. This is because, like any fractal, tiny patterns are replicating over themselves.<\/p>\n

This video<\/a> gives you an opportunity to look deeper than the surface level of the Barnsley Fern and see how it is constructed.<\/p>\n