Zoom in sequences... this is old stuff, really


Note: These are MPEG-2 files, and will not play with Windows-XP media player as shipped, a plugin or separate program is needed.


The .mpg files here are encoded with the program: "mpeg2encode V1.2, 96/07/19, (C) 1996, MPEG Software Simulation Group" then recoded with ffmpeg2theora to ogg for brovser video display.
Explanation of labels:
"Zoom:" Number indicates the final magnification: mag = 2^number.
"Iter:" Specifies the maximum iterations used at the end of the sequence.
"Prec:" The precision of the math, in number of significant bits.
"Xpos:" The real part of zoom in position.
"Ypos:" The imaginary part of zoom in position.
"PixS:" Size of a pixel at maximum magnification.

The estimation of the calculation times was used by running a benchmark on the specified CPU:s at different precisions, and then counting how many iterations have been done to calculate the series. As found out later this figure may be off by a few percent due to that the point zoomed into was not the same as the benchmark was taken on, resulting in different calculation speeds. Anyway, it gives an indication of the work needed to generate the sequence.

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File: z1.mpg

Size: 195849628

A movie of the demo sequence distributed (1987-1988) with MandelZoom 1.2 for IBM-PC, written in turbo-pascal 3.

This is the zoom depth is that is possible with floating point math. (The calculation time of image zoom level 47,48,49,50 stands for about 98.85% of the calculation time since it was done with GMP) Running the demo with "bignum" on the original PC had not been feasible.

Final magnification: 2^50
Zoom: 50
Iter: 65536
Prec: 159
Xpos: -0.174971887152505e1
Ypos: 0.577856428321866e-4
PixS: 0.1387778780781445675529539585113525390625e-16

Estimated calculation times:
Series calculation time for AMD Athlon T-bird, 1000 MHz: 23.40 Hours
Series calculation time for Intel 486DX4-Overdrive, 100 MHz: 1459.33 Hours
Series calculation time for AMD 386sx + I387, 25 MHz: 15977.06 Hours



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File: mstd.mpg

Size: 90965464

Similar to z1.mpg, but at 2:nd mini-mandelbrot we go down into the "seahorse valley", then of course it goes much deeper.

Final magnification: 2^90
Zoom: 90
Iter: 1048576
Prec: 128
Xpos: -0.1749969724530652785634980097934096439359e1
Ypos: -0.1991895927217061488819188321768249398694e-5
PixS: 0.1262177448353618888658765704452457967475e-28

Estimated calculation times:
Series calculation time for AMD Athlon T-bird, 1000 MHz: 1040.72 Hours
Series calculation time for Intel 486DX4-Overdrive, 100 MHz: 62750.60 Hours
Series calculation time for AMD 386sx + I387, 25 MHz: 694902.26 Hours



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A late addition, now with alternate coloring and sound: