Friday Fractal XV (I)

i-b0c54806063d1948685bc5c6d1c52997-repost.jpgThis was actually the first Friday Fractal, originally posted on on April 28th of this year. i-9e64cf56fe01fd4c5451b3f5546aedd3-amfwhole.jpgI've found many images in fractals which are reminiscent of forms in nature. Both the precise mathematical displays and the delicate shapes of life have an essence of intricate beauty, provoking strong feelings of awe--especially when they are strikingly similar.

Here is a section taken from the Mandelbrot set:


And its corresponding form in nature:


An ammonite fossil, Discoscaphites conradi, from the upper Cretaceous age, found in the Pierre Shale Formation here in Colorado.

This animal lived somewhere between 100 million and 65 million years ago, when the dinosaurs went extinct. Ammonites went extinct at that time, as well. Ammonites were cephalopods, distantly related to the Nautilus, which shares the distinct spiral formation, but even more closely related to the modern squid and octopus.

The average daily life for this ammonite probably consisted of swimming through the ocean, grabbing fish with tentacles for an occasional snack. i-7d6035c8974fabf3ba26fba62812c998-NightoftheAmmonites.jpgAmmonites were sometimes snacks, themselves, as they shared the oceans with a variety of carnivorous reptiles.

Ray Troll, an artist who has received some recent recognition for his Tiktaalik images, depicted the life of ammonites in this gorgeous poster (available for purchase here.)

The inner chambers of the ammonite are called camerae, collectively, the phragmocone. The largest camera contained the body of the animal; i-3ea0a219ca4b506a2f37f7316e9aebac-ammolite.jpgother camerae were previously occupied, and left vacant as the creature grew. (Kind of like Walmart, eh?) The chambers of the ammonite helped control propulsion--water could be pumped out of a chamber through a thin tube called a sipuncle. This affected the buoyancy of the creature, allowing it to rise and lower through the water. The Nautilus today propels itself in the same fashion, with the sipuncle in a slightly different location.

Ammonites can be found in jewelry today--their iridescent shells, like pearls, were formed from the mineral aragonite, (CaCO3) i-8ef1784899198498af0a665c996d63ac-aragonite.jpga form of calcite that forms pseudohexagonal crystals. (I like to call it "Tolkien stone.") When some ammonite fossils were formed, the aragonite in the shell was preserved. This remaining mineral is a rare organic gemstone called ammolite. Ammolite typically contains trace impurities which give the stone a colorful, iridescent glow. When combined with the elegant spiral of the shell, the beauty of ammolite is unsurpassed.

Image credits: Ray Troll's Night of the Ammonites via Troll Art. Ammolite shell via AI05. Fractals designed using ChaosPro. All other images were created by the author.

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