The buddhabrot (challenging ?)

[JRS]

Are those PC's actually being used anymore? Is this based on web traffic?

[Mike Lobanovsky]

ROFLMAO! I'm yet to be shown an office where employees would play the market using their Samsung smartphones, John!

[JRS]

Reminds me of a chicken coup with cages lined up in a row. How do people work that way?

Could use some range free action here. (tele-commuting)

[Mike Lobanovsky]

Could use some range free action here. (tele-commuting)

Hardly. D'you know what a remote freelancer's expected workplace would look like by the contemporary U.S. industry standards if one wants to be contracted on a per-hour basis? It should be a fixed-place workstation equipped with a realtime web camera and a keylogger! Otherwise one would never be hired at more than $5 per hour, which is a humiliating rate even in my country.

I can meet all the three requirements and I do switch on all that gear occasionally.

[RobbeK]

All,

@Mike, "smoothly colored" -- probably the values of the orbit traps are more suitable than these end values.
(see attached)
An easy code change , mainly adding world(x,y).trap into the udt, assigning and plotting it.

Here the trap is z=0 , but a line, a circle or even a grid could be easily set up.

best,  Rob


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[Mike Lobanovsky]

Hi Rob,

First of all, sorry for myself and John hijacking your thread for our usual friendly squabble. I'm experiencing a severe spell of procrastination on account of my projected move to a new residence. So, I just used that opportunity to distract myself from daily (nightly) worries.

Yes, this one looks attractive. But I'm sure that the both versions' point clouds can be used as vertices for OpenGL triangles or quads, which could effectively turn the grid into a set of interconnected 3D surfaces. It would be interesting to see what it might look like in reality.

Your orbit trap variant then might've looked very similar to the attached image of 2.5D Mandelbrot as seen in my GLSL fractal renderer called Fraxter. It's a pity that your computer is incapable of of running this advanced OpenGL app.

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[RobbeK]

Ah, yes Fraxter -- I'll have a new machine soon  to experiment with it.

I'll see what I can do , I lowered the gaps between the points (doubled the number), and switched to Julia Fractals ...


attached ,   and a good base for improvement on the graphics


best Rob   (oops, change that R(c) value 0.06 into -0.2 ... much nicer)

.

[Aurel]

hi Rob
So this is openGL with GFA basic .right ?
looks that work fine on my old comp 

[Mike Lobanovsky]

I'll have a new machine soon  to experiment with it.

Glad to hear that, Rob! A new PC is always a great event; a whole new world opening before your eyes!

(oops, change that R(c) value 0.06 into -0.2 ... much nicer)

I like the 0.06 thingy more. Yet the -0.2 "plate of boobs" is also not bad at all.

[RobbeK]

Thanks,

Aurel : yes GFA and OpenGL.
Mike : another idea is also storing the second last trap value - compare this with the last , will give an indication of the "speed" of the trap.  this give flower like images in pseudo 3D. 
Real 3D fractals are not so attractive imho , however i think if someone could define direction in 2D , it will be possible to set up 3D envolution boies

[Mike Lobanovsky]

Real 3D fractals are not so attractive imho

WAT?

Are you serious? Have you ever flown inside a 3D fractal drawn with your own hands?!

Rush for a new PC now! Go for it, man!



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[RobbeK]

Hi Mike,

I expressed myself poorly -- with real 3D I mean generated by f(x,y,z) and not the usual f(x,y,   g(x,y) ) which are based on 2D with an extra function giving it a z value.  I also meant the analytic onces - surely Koch, Klein etc... patterns can be perfectly (?) generated in 3D.
Rephrasing it correctly : using quaternions as a base and analytic functions - the most attractive ones are where j=k=0   (the 2D things) , the onces with k=0 can be found on the web :
http://www.bing.com/images/search?q=quaternion+fractals&FORM=HDRSC2  (beware , some are based on quads, but with some extra functions involved - not what I had in mind)

k != 0 may be more interesting, these are moving pictures 

I hope I am wrong about these analytic 3D fractals, I profoundly hope ..   i think Steel Bank CL has a quadlisp package-- not sure it is public (probably used on these futuresque computers OS's - but both NASA and Google already running one)

best Rob -- my excuses, indeed 3D gives a better experience than 2D - but I was thinking about the mathematics -- but as said when I define a direction between two points in 3D I can setup a certain thickness around this axis , and we have yet another kind of 3D , but still based on 2D.