Secant Animation 2

This is an animation using the secant method for solving a fourth-order polynomial. The animation shows what happens when the initial value fed into the algorithm changes. Some of the mathematical details on this can be found on www.hpdz.net.

Secant Animation 1 was started first but will be finished later.

Category:

Film & Animation

Tags:

• secant
• newton
• polynomial
• fractal
• animation

[AllFractUp]

Marvelous transformations. The color cycling adds a nice touch. Do you render this through automatic software that handles all the frame-by-frame work or do you sit at your computer to render and save each frame of animation?

[DeepZoomNet]

Gosh, no! This is all automated. I sit at the computer and write code for weeks to make it all automated. :-)

But I do have the software set up to allow me a lot of control over how the colors progress. I can set up a basic envelope for how fractal data is mapped to colors, then the software does the frame-by-frame calculations. I have tried several different approaches, but manually mapping the colors usually works best, although my latest videos, Take5 and GroupB use an automated technique.

[AllFractUp]

Aw come on, where's the fun in letting the machine do all the work? :P

[DeepZoomNet]

Believe me, getting the machine to do the work IS work!

[AllFractUp]

Give it a try then, sit at the computer and pick out each frame to be rendered, render it, save it, and then repeat until you've got 1800 (1 minute) of 'em :)

[DeepZoomNet]

This is almost impossible. The smooth interpolation between the various parameters that make the video work, especially for this particular type, cannot be done manually. Well, I suppose I could print out a table of 1800 numbers and type them all in, but I would rather work on getting better coloring algorithms or finding new fractal equations.

[52joan]

sweeeeeeeeeeeeeeeeeeeet!!!

[randomviewer896]

awesome sweet delicious

[dredlockMiki]

COOOL!!