# et Videos

Videos rendered with et.

# 1 2018-02-19 M BS M M ^2 alternate

Alternate colouring of 2018-02-16 video below rendered in 4K resolution.

1920x1080p60 MP4 600MB, 11m10s, stereo sound

3840x2160p60 MP4 1.6GB, 11m10s, stereo sound

Audio credits:

\[\begin{aligned} z &\leftarrow z^2 + c \\ z &\leftarrow (|\Re z| + |\Im z|)^2 + c \\ z &\leftarrow z^2 + c \\ z &\leftarrow z^2 + c \end{aligned}\]

Coordinates:

Re: 4.58646992758129997106997599693166184885329950861367305818624952011538804951870872187294507481543638532248342086521995928917881759456986275953375167828519138399569388125964809638754299570975384090337453200442332454101553654764285750220875692185195892428881673597453497822193497725310103526620022071741101471755953772133235527693093181751412255241642197665762477703529699151799238034125838629076089448433220623104198296167403245364471292788536588194609895050042511006556950153148979291942627384737425789602429556620354972925160553873002687018711421167127363044317391221525692503642122155131516371962428300020290186807451459809120927335724393102343702290378974294773267182791298048657077043122580577488366013283602779595197630311689012481262917523948386143846354200780192552965359485646568330588226821467128369290441140903237665459294470697269855860515927084627783120301938157789564872164840413487447957526197641260601217503943365483838567011613293959538142463471686909660057538435098487123341046212491538160733765206e-499
Im: -1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003612078867543004010088083755969793169213062809538975635771393173389685720342105591094148053223837717991794090415623773706163428202651298833794806894193565379722131190575360903449607293353086089773678287348518663591005301975453103747383818295677296491215474540441482329240440376531226465455736660210595526444876286878111485987162276124936569229264481495375541333152320100993967729819109782948657169243590489158384605891429034901625045752116368601712729548027781903172226630493637649253404818344764292464622938572424e+00
Radius: 6e-999
Iterations: 32768

Calculations:

  • key insight: exploit self-similarity around Misiurewicz points to avoid rendering repeating sections in their entirety
  • the Misiurewicz point at 0-1i in this fractal has multiplier with magnitude sqrt(32), so it repeats after 10 keyframes
  • 210 4k keyframes at 2x zoom levels rendered in 1.9 days real time on quadcore AMD Athlon(tm) II X4 640 Processor
  • 60fps 4k video assembled from 3352 keyframes (repeating loops expanded, intro and credits added) in 14.4 hours real time on NVIDIA Corporation GF116 [GeForce GTX 550 Ti]
  • the total time to render is quicker than a 1080p video of the same location rendered without the self-similarity repetition elision technique
  • see https://fractalforums.org/f/28/t/860 (this video probably counts as a world record for this particular fractal at this time, as if that means anything!)

# 2 2018-02-16 M BS M M ^2

1920x1080p60 MP4 990MB, 11m10s, stereo sound

Audio credits:

\[\begin{aligned} z &\leftarrow z^2 + c \\ z &\leftarrow (|\Re z| + |\Im z|)^2 + c \\ z &\leftarrow z^2 + c \\ z &\leftarrow z^2 + c \end{aligned}\]

# 3 2018-02-06 M BS M M ^4

1920x1080p60 MP4 125MB, 2m48s, stereo sound

Audio credits:

\[\begin{aligned} z &\leftarrow z^4 + c \\ z &\leftarrow (|\Re z| + |\Im z|)^4 + c \\ z &\leftarrow z^4 + c \\ z &\leftarrow z^4 + c \end{aligned}\]

# 4 2018-02-05 M BS M M ^2

1920x1080p60 MP4 440MB, 5m43s, stereo sound

Audio credits:

\[\begin{aligned} z &\leftarrow z^2 + c \\ z &\leftarrow (|\Re z| + |\Im z|)^2 + c \\ z &\leftarrow z^2 + c \\ z &\leftarrow z^2 + c \end{aligned}\]

# 5 2018-02-01 M BS M M ^3

1920x1080p60 MP4 220MB, 3m29s, stereo sound

Audio credits:

\[\begin{aligned} z &\leftarrow z^3 + c \\ z &\leftarrow (|\Re z| + |\Im z|)^3 + c \\ z &\leftarrow z^3 + c \\ z &\leftarrow z^3 + c \end{aligned}\]