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devinrhode
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« on: May 28, 2010, 10:58:25 AM » |
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I seen this fractal in a dream although I never mess with fractals and only familiar with the concept I seen a symbol with many thousands of symbols within it branching to form an endless web of a repeating pattern. I drew below the symbol and how it repeats. Would anyone help me to make this fractal so that I can see it in its true glory? I would appreciate it more than I could say.  |
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Sockratease
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« Reply #1 on: May 28, 2010, 12:20:49 PM » |
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Hello and Welcome to the forum!
Your image appears to be more of a "formula object" than a Fractal. Not sure of how to reproduce it any better than you have already done. What are you looking for?
Just use the pattern as a tile, and create a larger resolution image? I have an image editor that can tile images in 3 different ways (aligned, brick, and mirrored) and could give that a try to make a large image if that is what you are looking for.
But I have no idea how to describe the actual pattern mathematically...
Maybe one of our Long-Haired Math Wizards will know?
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Life is complex - It has real and imaginary components. The All New Fractal Forums is now in Public Beta Testing! Visit FractalForums.org and check it out! |
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bib
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« Reply #2 on: May 28, 2010, 01:54:52 PM » |
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I seen a symbol with many thousands of symbols within it branching to form an endless web of a repeating pattern.
I drew below the symbol and how it repeats.
I fail to understand where is the iterative process in your drawing. Do you mean the smaller and smaller circles? |
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Between order and disorder reigns a delicious moment. (Paul Valéry)
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devinrhode
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« Reply #3 on: May 29, 2010, 12:15:39 AM » |
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well the main pattern is the half circle not a full circle. The half circle stretches endlessly behind it is an echo of itself endless as well. The main pattern is the 4 half circles meeting. Then the echo off of them. I hope I am making sense. Feel free to ask more questions.
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kram1032
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« Reply #4 on: May 29, 2010, 12:43:19 AM » |
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hmmm... to me, it looks a lot like a wavelet-based pattern...  something like this: ![sinc(\pi \sqrt{(x+1)^2+y^2})+sinc(\pi \sqrt{(x-1)^2+y^2})+sinc(\pi \sqrt{x^2+(y+1)^2})+sinc(\pi \sqrt{x^2+(y-1)^2})<br />x=[-1,1]<br />y=[-1,1]](/cgi-bin/mimetex.cgi?sinc(\pi \sqrt{(x+1)^2+y^2})+sinc(\pi \sqrt{(x-1)^2+y^2})+sinc(\pi \sqrt{x^2+(y+1)^2})+sinc(\pi \sqrt{x^2+(y-1)^2})<br />x=[-1,1]<br />y=[-1,1]) If you then colour it according to the ripples, you probably get a pattern, not too different from this. |
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Nahee_Enterprises
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« Reply #5 on: May 29, 2010, 12:45:55 AM » |
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I seen this fractal in a dream although I never mess with fractals and only
familiar with the concept I seen a symbol with many thousands of symbols
within it branching to form an endless web of a repeating pattern.
I drew below the symbol and how it repeats. Would anyone help me to make
this fractal so that I can see it in its true glory?
img132.imageshack.us/img132/9638/sigiln.jpg Greetings, and Welcome to this particular Forum !!! All that I see here is a portion of a geometric pattern that has been overlaid upon itself. And in this instance, that geometric pattern happens to appear as concentric circles. Most any basic geometric shape could be used for such a pattern. I have created similar images using XenoDream:   |
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« Last Edit: May 29, 2010, 06:04:24 AM by Nahee_Enterprises »
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Nahee_Enterprises
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« Reply #6 on: May 29, 2010, 12:52:52 AM » |
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I drew below the symbol and how it repeats. Would anyone help me to make
this fractal so that I can see it in its true glory?
img132.imageshack.us/img132/9638/sigiln.jpg[/img] Now here is something in the same vein, but using a squarish shape, with blue colored concentric circles (in the similar pattern that you gave us) "painted" over the top of the pattern:  You can find others like this at the following web page: http://www.nahee.com/Fractals/XenoDream/Arab_Baroq.html |
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« Last Edit: May 29, 2010, 12:57:07 AM by Nahee_Enterprises »
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devinrhode
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« Reply #7 on: May 29, 2010, 01:57:09 AM » |
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I have cut up the image to show the main pattern.  |
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Nahee_Enterprises
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« Reply #8 on: May 29, 2010, 02:51:52 AM » |
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After taking your original image and tiling it across a block, I can clearly see that this was not concentric circles but in reality a spiral, with the line thickness diminishing slightly with each complete revolution:  |
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« Last Edit: May 29, 2010, 02:55:22 AM by Nahee_Enterprises »
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devinrhode
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« Reply #9 on: May 29, 2010, 05:53:48 AM » |
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Its not a full circle or tiles. You have the main pattern of which i have in the 4 half circles. These edges stretch to whatever edge and echo backwards to form the web of which i did a partial echo on the original picture. On a full echo it would be a complete web that looks like a dimension being stretched from the middle point. In a fractal this should look more so as a endless web. Much like how you did this image but not the overlapping of the center point. |
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devinrhode
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« Reply #10 on: May 29, 2010, 05:56:35 AM » |
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I was thinking of perhaps finding the "formula?" for it and putting it to work on how these fractals are generated..  |
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kram1032
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« Reply #11 on: May 29, 2010, 08:23:43 AM » |
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What you're talking about then rather is like this... ^2+y^2}+1))+sinc(\pi (\sqrt{(x-1)^2+y^2}+1))+sinc(\pi (\sqrt{x^2+(y+1)^2}+1))+sinc(\pi (\sqrt{x^2+(y-1)^2}+1))) if x=]-1,1[ or y=]-1,1[ then reflect back into that and add. wolfram alpha shifted sinc <- here is the graph of just one of the functions. It's impossible to do all four functions over there: It tells me, it "doesn't know, what I mean", then. However, it is possible to do a double wave... two shifted sincs overlaydifferent overlayWhen ever the ripple is on a high point, you colour it white and on a lowpoint, you colour it black. Keep in mind, that this is not with the reflections. |
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« Last Edit: July 16, 2010, 11:41:05 AM by kram1032 »
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Roboticus
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« Reply #12 on: July 16, 2010, 10:33:41 AM » |
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The flower of life. It is sacred geometry. it is very usual. look into it. Some people call them mandalas.
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kram1032
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« Reply #13 on: July 16, 2010, 11:41:57 AM » |
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it's not quite the flower of life by how it's described. Close but not quite.
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Wel lEnTaoed
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« Reply #14 on: July 28, 2010, 11:59:49 PM » |
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