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Mar 30, 1999, 3:00:00 AM3/30/99

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I am a second year Computing student from the University of Tasmania,

Australia.

Australia.

I am trying to find someone who can render a 3D image for me, since I

don't have the knowledge or tools to do so myself.

The image is a 3D mandelbrot set, created within a 3D space which uses

an extension of the algebra for complex numbers. The third dimension

uses a j component, where j^2 = -1 and ij = 1.

The formula f(n) = f(n - 1)^2 + k, f(0) = 0 is still used, but this time

you have f(n) and k as points in 3 dimensions and not 2.

To implement one iteration, lets say f(x-1) = a + bi + cj and k = x + yi

+ zj:

f(x) = (a + bi + cj)^2 + x + yi + zj

= a^2 + 2abi + 2acj - b^2 + 2bc - c^2 + x + yi + zj

= (a^2 - b^2 - c^2 + 2bc + x) + (2ab + y)i + (2ac + z)j

I suspect either Mathematica or POV-Ray would be able to render such an

image, but neither I nor my friends have been able to work out how. I

have been able to produce cross-sections.

Dan.

Mar 30, 1999, 3:00:00 AM3/30/99

to

Daniel Hulme wrote:

>

> I am a second year Computing student from the University of Tasmania,

> Australia.

>

> I am trying to find someone who can render a 3D image for me, since I

> don't have the knowledge or tools to do so myself.

>

> The image is a 3D mandelbrot set, created within a 3D space which uses

> an extension of the algebra for complex numbers. The third dimension

> uses a j component, where j^2 = -1 and ij = 1.

>

>

> I am a second year Computing student from the University of Tasmania,

> Australia.

>

> I am trying to find someone who can render a 3D image for me, since I

> don't have the knowledge or tools to do so myself.

>

> The image is a 3D mandelbrot set, created within a 3D space which uses

> an extension of the algebra for complex numbers. The third dimension

> uses a j component, where j^2 = -1 and ij = 1.

>

doesn't i == j then? I am curious, could you expand on this?

--

<((((><

Consultant: Internet, Database, Business Systems

Unix/Linux, Windows95/NT

mailto:david-...@usa.net / http://obj.webjump.com/

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