{"id":979,"date":"2019-02-26T15:49:52","date_gmt":"2019-02-26T23:49:52","guid":{"rendered":"http:\/\/blog.ronrecord.com\/?page_id=979"},"modified":"2019-12-20T13:43:35","modified_gmt":"2019-12-20T21:43:35","slug":"fractal-art","status":"publish","type":"page","link":"https:\/\/blog.ronrecord.com\/index.php\/fractal-art\/","title":{"rendered":"Fractal Art"},"content":{"rendered":"\n

In mathematics, a fractal is a subset of a Euclidean space for which the <\/strong>Hausdorff dimension<\/strong><\/a> strictly exceeds the <\/strong>topological dimension<\/strong><\/a>. Here however, we attempt to provide a visual introduction to fractals that does not require any mathematics.<\/strong><\/p>\n\n\n\n

Fractals<\/strong><\/a>\u00a0are infinitely self-similar,\u00a0<\/strong>iterated<\/strong><\/a>, and detailed mathematical constructs having fractional dimension, of which many\u00a0<\/strong>examples<\/strong><\/a> have been formulated and studied in great depth. Fractals are not limited to geometric patterns, but can also describe processes in time. Fractal patterns with various degrees of self-similarity have been rendered or studied in images, structures, sounds, and found in <\/strong>nature<\/strong><\/a>,\u00a0<\/strong>technology<\/strong><\/a>,\u00a0<\/strong>art<\/strong><\/a>,\u00a0architecture\u00a0and\u00a0<\/strong>law<\/strong><\/a>.\u00a0Fractals are of particular relevance in the field of\u00a0<\/strong>chaos theory<\/strong><\/a>, since the graphs of most chaotic processes are fractals.<\/strong><\/p>\n\n\n\n

The fractals in this gallery were created by Dr. Ronald Joe Record who holds a Ph.D. in Mathematics from the University of California. Dr. Record’s research focused on applications of Dynamical Systems Theory, an area of Mathematics popularly known as Chaos Theory.<\/strong><\/p>\n\n\n

[foogallery id=”977″]<\/p>\n\n\n\n

<\/div>\n\n\n\n

All photography and digital photo manipulation by Ronald Joe Record, Copyright 2019, all rights reserved.<\/b><\/p>

Mandelbrot<\/b><\/a><\/td>Lyapunov<\/b><\/a><\/td>Iterated<\/b><\/a><\/td>Fractals<\/b><\/a><\/td>Photos<\/b><\/a><\/td><\/tr><\/tbody><\/table>\n\n\n\n

<\/p>\n\n\n\n

<\/div>\n\n\n\n[embed-vi-ad]\n","protected":false},"excerpt":{"rendered":"

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