<video><title>Secrets of Sacred Geometry - Fractals</title><description>Join host Sebastian Schepis as he takes you on a journey through the world of Sacred Geometry, exploring the nature of form and examining the unfolding of shape. Lets travel from the Plenum to Multiplicity, enjoying the sights.</description><transcript><transcript><line from="00:00:00,000" to="00:00:06,560">Fractals. Fractals are mathematical sets that exhibit repeating patterns at every scale.</line><line from="00:00:06,560" to="00:00:12,720">This self-similarity generates immense complexity from simple recursive processes.</line><line from="00:00:12,720" to="00:00:18,720">Fractals elegantly model the irregular forms found in nature. In 1975,</line><line from="00:00:18,720" to="00:00:24,000">mathematician Benoit Mandelbrot coined the term Fractal to describe these shapes that are</line><line from="00:00:24,000" to="00:00:30,560">fragmented yet whole. Fractals initiate with a basic initiator shape like a triangle or square.</line><line from="00:00:31,280" to="00:00:35,920">Mathematical transformations recursively repeat this process of subdivision.</line><line from="00:00:36,640" to="00:00:41,280">Simple fractal algorithms produce astonishingly realistic organic patterns,</line><line from="00:00:41,920" to="00:00:48,160">ferns, lightning, rivers, mountains, nowhere is the fractal scene in its totality.</line><line from="00:00:48,160" to="00:00:51,200">It reveals limitless intricacy within bounded limits.</line><line from="00:00:51,840" to="00:00:56,240">Zooming in on any region reveals the same primordial shape repeated again.</line><line from="00:00:56,880" to="00:01:01,840">Fractals resolve the paradox of the infinite contained within the finite in nature.</line><line from="00:01:01,840" to="00:01:08,160">They mimic life's nonlinear dynamism through interaction of the very basic with the very complex.</line><line from="00:01:08,160" to="00:01:13,840">From jagged coastlines to spiraling galaxies, fractals capture geometry's tendency to</line><line from="00:01:13,840" to="00:01:19,920">elaborate its own inherent logic. Sacred geometers employ fractal principles to model</line><line from="00:01:20,080" to="00:01:24,320">nature's forms. They demonstrate that complexity is born of simplicity,</line><line from="00:01:25,200" to="00:01:33,200">profound diversity from pristine unity. Fractals geometries the mystery that the seed contains the tree,</line><line from="00:01:33,200" to="00:01:37,200">the part in folds the whole.</line></transcript></transcript></video>