hpdz.net

Please visit the Demos page to see some animation ideas I'm working on but have not fully explored yet.

Also check out the Technical Animations page. These are not so much about looking good, but rather about trying to demonstrate some technical point about how the animations are made. Some of them are examples of what various mistakes look like, sort of a Bloopers series.

Featured Animations - Chronological Order (newest first)

Seattle High-Def deep zoom into the eastern cusp of the Mandelbrot set to 1.6e-51 with 9X noise reduction oversampling

QBIX Cubic Mandelbrot set deep zoom to 5.9e-33 using new 64-bit software! And it's smaller, but older, brother from 2005: ThirdOrder A rare third-order Mandelbrot set zoom, although not very deep These two videos, to the best of the knowledge of HPDZ, are the only deep-zoom animations into the cubic Mandelbrot set ever created.

GroupB Deep zoom to 1.9e-78 using new, more powerful frame interpolation software.

Take5 Simple deep-zoom into a five-fold symmetric fiber. Demonstrates a new colorizing method.

Project17 Simple deep-zoom into the cusp of the set. Based on a still image from 2004.

SecantAnimation1 An elaborate tour of a fractal created by the secant method with the cosine function.

SecantAnimation2 The first-ever animation of a fractal generated by the secant method.

Canyon2 Deep zoom into the eastern wall of the canyon (seahorse valley).

MetaphsaeVar1 My first variation on the "Metaphase" motif.

Canyon1 Deep zoom into the western wall of the canyon (seahorse valley).

HD1 "Tartaglia" My first high-definition deep zoom, at 1200x900 resolution.

DEHP-III ("Cardano") Full-resolution rework of one of the best animations I've done so far. New colors, new music, longer, and slower.

Ununennius ("de Moivre") One of the deepest zooms ever created. And certainly the most unpronounceable. This is a no-nonsense animation drilling down to a final size of 9e-120.

Rift Another great Paul Derbyshire endpoint

Metaphase Based on a FractInt PAR file from Paul Derbyshire dated Mar 1996

Prima Luce First production run on Core2-Quad system

ProjectX Zoom to 2e-33 with beautiful coloring

Tevaris Great music by Technetium!

DEHP-IIa Very nice deep zoom to Julia set near mini-brot on the antenna/spike

Anim08-03-13 Deep zoom near cusp of mini-brot

These two are just exercises of the math system. They really belong in the Technical section, but they got put on this page long ago, and it is kind of a hassle to move them.

 

E100	Supra-E100 deep zoom near fixed point at (0,1)
Centanimus	Supra-E100 deep zoom near utter west

And here's one that's just plain silly: TooFast.mpg. This is what happens when you say one of my animations is too fast. I'll show you fast! (Identical zoom as E100 but in 23 seconds.)

Note on size and magnification: The sizes here (and on the Still Images page) are the actual size of the smallest dimension of the image (usually vertically) in the complex number plane. Some programs describe image sizes by "magnification" which is usually related to the reciprocal of the image size. A size of, say, 1E-100 corresponds to a magnification of 1E+100. Some software uses the half-height of the image, so there may be an additional factor of two involved in conversion.