Logo by Dinkydau - Contribute your own Logo!
News: Check out the originating "3d Mandelbulb" thread here
 
*
Welcome, Guest. Please login or register. December 13, 2017, 12:09:04 PM


Login with username, password and session length


The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!


Pages: 1 ... 5 6 [7] 8   Go Down
  Print  
Share this topic on DiggShare this topic on FacebookShare this topic on GoogleShare this topic on RedditShare this topic on StumbleUponShare this topic on Twitter
Author Topic: True 3D Mandelbrot ?  (Read 6860 times)
Description: Yet another try at the "true 3D" Mandelbrot
0 Members and 1 Guest are viewing this topic.
Roquen
Iterator
*
Posts: 180


« Reply #90 on: September 12, 2014, 11:45:59 AM »

in other words "all the evidence" boils down to "Infinity does not exist because it wouldn't make sense to me," and the variation on that, "Infinity does not exist because I wouldn't be able to calculate it."  this perfectly and succinctly illustrates the unfortunate world view even lots of brilliant minds rigidly adhere to.
Notions of infinity do make sense to me.  As an abstraction.  Notice I'm not really taking a physics model as a reasoning, that was just tossed that out as a bullet point.  I'm taking a pure mathematical one.  Information theory.  Infinity and infinitesimal require infinite information.  But more than that, by Cantor's proof most real numbers are irrational and therefore require infinite information each.
Logged

All code submitted by me is in the public domain. (http://unlicense.org/)
Sockratease
Global Moderator
Fractal Senior
******
Posts: 3181



« Reply #91 on: September 12, 2014, 11:58:29 AM »

the problem with this type of argument in my view is that it evolves from an underlying assumption that a fundamental, immutable property of reality and the universe is that it cannot possibly hold any properties which a homo sapien living on earth in the 21st century AD cannot comfortably understand and calculate with his maths.

On the contrary!

It says that just because a homo sapien living on earth in the 21st century AD can comfortably understand and calculate something with his maths does not necessarily mean it exists   afro

We make calculations using infinity every day. And many of us believe in things that can never be subjected to such rigor  (like god, reincarnation, Santa Claus, Karma, a Sentient Universe/Planet, and even Ceiling Cat!). But merely being able to calculate something mathematically does not make it real.

if we were being perfectly honest, i think this belongs more in the aforementioned "belief" and "taking sides" range of activities which, again, would ideally occur outside of science.

Again, I beg to differ.

Science is all about "taking sides" and "belief systems" in order to devise and test new theories.

Without believing in their theories before they are proven, there would be precious little motivation to devote lifetimes to gathering supporting evidence for them.

In this respect Science and Religion have much in common.  To truly "Believe" in The Big Bang is every bit as much a leap of faith as belief in any supernatural being (or even Infinity) - with the main distinction being that Science always leaves room for new evidence to change our prevailing theories, while religion insists that nothing can ever change their beliefs.
Logged

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!
quaz0r
Fractal Molossus
**
Posts: 652



« Reply #92 on: September 12, 2014, 01:03:43 PM »

Science is all about "taking sides" and "belief systems" in order to devise and test new theories.
Without believing in their theories before they are proven, there would be precious little motivation to devote lifetimes to gathering supporting evidence for them.
In this respect Science and Religion have much in common.  To truly "Believe" in The Big Bang is every bit as much a leap of faith as belief in any supernatural being (or even Infinity) - with the main distinction being that Science always leaves room for new evidence to change our prevailing theories, while religion insists that nothing can ever change their beliefs.

yes i agree the same base motivations like self-promotion, self-aggrandizement, and tribalism that inspire and perpetuate things like religion do not magically disappear when it comes to humans attempting to engage science.  it is simply unfortunate that a selfless desire to know the universe regardless where the answers lead is not motivation enough, and exponentially more unfortunate are the implications this has regarding the merit and reliability of the human institution of science.  undecided
« Last Edit: September 12, 2014, 01:11:41 PM by quaz0r » Logged
Alef
Fractal Supremo
*****
Posts: 1174



WWW
« Reply #93 on: September 20, 2014, 03:29:21 PM »

The beauty of the 2D Mandelbrot is because we can colorize points based on how fast we can determine that they are not in the set. If we only look at the points that are inside the set, they form boring circles and a few cardioids.
So it might be that the idea of a 3D Mandelbrot is fundamentally wrong?
Not quite so. Here I removed all the colouring just the insides or outsides. Max iteration limit of 250 did the rest. Of coarse If you increase maxiter to 2500 you 'll get 3 small minibrots. This works almoust like colouring just it would be almoust impossible to manualy guess the border.

"But I don't know if I think for example Steven Hawking is arrogant in this topic..."
In wikipeda this argument is listed as logical fallacies 'appeal to authority'.

"yes i agree the same base motivations like self-promotion, self-aggrandizement, and tribalism that inspire and perpetuate things like religion do not magically disappear when it comes to humans attempting to engage science."
Well I read article about science in my country. It said, we have a lot of female scientists not becouse of equality but becouse in our country science have no such glory (and $). Probably even science works in the same natural / biological categories of alfa scientists.

p.s.
Maybe this could be turned into Folding Int Pow. One of the most popular formula in hybrids.


* mald1.png (22.14 KB, 640x480 - viewed 349 times.)
« Last Edit: September 20, 2014, 05:17:55 PM by Alef » Logged

fractal catalisator
DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #94 on: February 11, 2015, 12:53:58 PM »

GROWL never noticed this until now! fiery Moved this into a more visible section... cheesy And implemented A Beer Cup

There are many more formulas just one done btw!


* makin.jpg (169.13 KB, 795x640 - viewed 325 times.)
Logged

No sweat, guardian of wisdom!
DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #95 on: February 11, 2015, 01:22:27 PM »

A power 8 - with Mandelbulb's "rot of whole bulb" cheesy


* makin p8.jpg (146.39 KB, 890x661 - viewed 306 times.)
Logged

No sweat, guardian of wisdom!
KRAFTWERK
Global Moderator
Fractal Senior
******
Posts: 1439


Virtual Surreality


WWW
« Reply #96 on: February 11, 2015, 03:24:58 PM »

 horsie riding Keep 'em coming Luca!  afro

Grin with closed eyes^This also?
Logged

knighty
Fractal Iambus
***
Posts: 819


« Reply #97 on: February 11, 2015, 04:30:44 PM »

 Repeating Zooming Self-Silimilar Thumb Up, by Craig
Logged
DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #98 on: February 11, 2015, 05:44:11 PM »

Hellooo wink

Johan I must find out thise formulas wink

Not sure I can get them all working? The one(s) I finished is very nice especially pow2 wink

EDIT; Also I didn't use cabs() in my formula sqrt(a*a + b*b) but simply (a*a + b*b). Just testing cabs() and it looks a lot less nice actually sad So I will keep old function Azn
Logged

No sweat, guardian of wisdom!
DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #99 on: February 11, 2015, 07:05:37 PM »

After a fight cheesy finally successful done the formula in 1st page in three flavors even if the only useful is probably pow8? cheesy


* makin28.jpg (159.72 KB, 800x600 - viewed 336 times.)
Logged

No sweat, guardian of wisdom!
KRAFTWERK
Global Moderator
Fractal Senior
******
Posts: 1439


Virtual Surreality


WWW
« Reply #100 on: February 12, 2015, 08:13:44 AM »

 horsie riding horsie riding horsie riding

It's got SPINES!!!!  A Beer Cupwink
Logged

DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #101 on: February 12, 2015, 10:23:20 AM »

Stop claiming and render Order in the court !!
Logged

No sweat, guardian of wisdom!
KRAFTWERK
Global Moderator
Fractal Senior
******
Posts: 1439


Virtual Surreality


WWW
« Reply #102 on: February 12, 2015, 01:35:07 PM »

 surrender; give up
Logged

KRAFTWERK
Global Moderator
Fractal Senior
******
Posts: 1439


Virtual Surreality


WWW
« Reply #103 on: February 15, 2015, 04:53:34 PM »

Lots of weirdness on the inside of that p8 version.
Thank you David, and Luca for implementing!!!  A Beer Cup A Beer Cup A Beer Cup

Next: Zoom in on that spine...  afro


* MakinSpine1b.jpg (168.48 KB, 600x450 - viewed 336 times.)
Logged

KRAFTWERK
Global Moderator
Fractal Senior
******
Posts: 1439


Virtual Surreality


WWW
« Reply #104 on: February 15, 2015, 05:41:04 PM »

...Spine!  A Beer Cup


* MakinSpine1e.jpg (179.27 KB, 666x500 - viewed 335 times.)
Logged

Pages: 1 ... 5 6 [7] 8   Go Down
  Print  
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
True 3D mandelbrot type fractal 3D Fractal Generation « 1 2 ... 36 37 » twinbee 549 379547 Last post November 19, 2009, 11:56:16 PM
by cKleinhuis
Re: True 3D mandelbrot type fractal Other / General Discussion shanest 2 10629 Last post November 20, 2009, 03:24:26 AM
by fractalrebel
True 3D mandelbrot fractal (search for the holy grail continues) The 3D Mandelbulb « 1 2 ... 17 18 » illi 260 49424 Last post November 25, 2010, 12:57:55 AM
by cKleinhuis
My First Mandelbrot...Okay not true. Images Showcase (Rate My Fractal) Zephitmaal 3 2339 Last post January 07, 2012, 04:30:36 PM
by Pauldelbrot
Mathematical theory for a "true" 3D Mandelbrot (new) Theories & Research Pauldelbrot 12 616 Last post February 03, 2012, 04:30:14 PM
by Alef

Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.588 seconds with 28 queries. (Pretty URLs adds 0.025s, 2q)