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<blockquote data-quote="sjastro" data-source="post: 75467472" data-attributes="member: 352921"><p>Cosmologists come up with physical models of the universe.</p><p>Mathematicians do the same except mathematical universes are either difficult to visualize or seem to be physically impossible.</p><p>Mathematicians are far less constrained than cosmologists.</p><p>One such mathematical universe is an infinitely large universe which rotates.</p><p>An object rotates relative to its surrounding space but when the entire universe rotates...........</p><p>The constraints for generating fractals in this thread are based on the escape or periodic method as described previously.</p><p>I decided on a different method by generating the fractal based on the condition abs(|f(z)|- |c|) < 10⁻⁸ where abs is the absolute function and f(z) =z⁻² + c.</p><p></p><p style="text-align: center"><img src="http://members.iinet.net.au/~sjastro/astrophysics/weird1.jpg" alt="" class="fr-fic fr-dii fr-draggable " style="" /></p><p></p><p>It's totally different from the previous versions and is remarkably symmetrical.</p><p></p><p>The image reminds me of the Victorian artist <a href="https://en.wikipedia.org/wiki/Louis_Wain" target="_blank">Louis Wain</a> whose cat pictures showed Wain's descent into schizophrenia with time.</p><p></p><p style="text-align: center"><img src="https://farm3.static.flickr.com/2466/3794462562_10b273b0da.jpg" alt="" class="fr-fic fr-dii fr-draggable " style="" /></p><p></p><p>The second image from the top showing the cat's fear and the artificial background indicate the early onset of schizophrenia.</p><p>Wain's images evolved into "fractals".</p></blockquote><p></p>
[QUOTE="sjastro, post: 75467472, member: 352921"] Cosmologists come up with physical models of the universe. Mathematicians do the same except mathematical universes are either difficult to visualize or seem to be physically impossible. Mathematicians are far less constrained than cosmologists. One such mathematical universe is an infinitely large universe which rotates. An object rotates relative to its surrounding space but when the entire universe rotates........... The constraints for generating fractals in this thread are based on the escape or periodic method as described previously. I decided on a different method by generating the fractal based on the condition abs(|f(z)|- |c|) < 10⁻⁸ where abs is the absolute function and f(z) =z⁻² + c. [CENTER][IMG]http://members.iinet.net.au/~sjastro/astrophysics/weird1.jpg[/IMG][/CENTER] It's totally different from the previous versions and is remarkably symmetrical. The image reminds me of the Victorian artist [URL='https://en.wikipedia.org/wiki/Louis_Wain']Louis Wain[/URL] whose cat pictures showed Wain's descent into schizophrenia with time. [CENTER][IMG]https://farm3.static.flickr.com/2466/3794462562_10b273b0da.jpg[/IMG][/CENTER] The second image from the top showing the cat's fear and the artificial background indicate the early onset of schizophrenia. Wain's images evolved into "fractals". [/QUOTE]
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