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Author Topic: msltoe riemann bulb V2  (Read 515 times)
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mclarekin
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Posts: 1739



« on: February 26, 2016, 11:32:49 AM »

msltoe riemann bulb V2



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=18716

msltoe riemann bulb V2//http://www.fractalforums.com/new-theories-and-research/another-way-to-make-my-riemann-sphere-'bulb'-using-a-conformal-transformation/

Thankyou Msltoe
« Last Edit: February 28, 2016, 09:01:25 AM by mclarekin, Reason: added http » Logged
mclarekin
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Posts: 1739



« Reply #1 on: February 26, 2016, 11:56:42 AM »

Msltoes Riemann Bulb Variation 2

I could not easily code  "maxnorm = ((double) (abs(i+j) % 12))/11.0;" to fit with Mandelbulber's bailout/termination, so instead I placed a primitive sphere inside. I was confused.

Fast, zoomable and renders well  smiley


* msltoe riembulb V2 .jpg (223.43 KB, 750x750 - viewed 170 times.)
« Last Edit: February 28, 2016, 09:02:44 AM by mclarekin, Reason: strike out confusion » Logged
msltoe
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« Reply #2 on: February 26, 2016, 05:15:33 PM »

Eggs-cellent! As you can see in my second picture, since the main transformation is conformal, you are free to use any terminating shape (sphere, spike, cross, etc.) if Mandelbulber will let you wink

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mclarekin
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« Reply #3 on: February 26, 2016, 10:07:34 PM »

Attached image is a msltoe sym4 bulb hybridised with msltoe riemann bulb


@msltoe. In Mandelbulber we have bailout based on       r = sqrt(z.x * z.x + z.y * z.y + z.z * z.z + w * w);    therefore I needed x,y,z components to feed in Remove my confusion

 Out of interest,   what was initial i & j in your formula?     I was assuming it might have been  i = (int)round(x);  


* msltoe sym4 riemV2.jpg (193.54 KB, 600x600 - viewed 167 times.)
« Last Edit: February 28, 2016, 09:03:51 AM by mclarekin, Reason: Confusion removed » Logged
msltoe
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« Reply #4 on: February 26, 2016, 11:10:49 PM »

I like your hybrid. It adds some texture to the sym4 mandelbulbs.
The variables, maxnorm, i and j are just used for coloring. They can be set to round(x), round(z) at the beginning or 0,0.
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mclarekin
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Posts: 1739



« Reply #5 on: February 27, 2016, 09:58:52 AM »

Tweaked to get inside view without the mess.


* msltoe riemV2 700.jpg (235.77 KB, 700x700 - viewed 170 times.)
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mclarekin
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Posts: 1739



« Reply #6 on: February 28, 2016, 09:00:16 AM »

Internal view with cut through z axis = 0.0.


* msltoe riemV2 z cut.jpg (178.36 KB, 800x599 - viewed 168 times.)
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