Hidden deep within the layers of the Mandelbrot set, subtle, yet familiar forms can almost leap out at you. This happened to me as I applied the coloring formula (based on Gaussian integers) to this week’s fractal. I was merely looking for a pattern that was somewhat spotty. I ended up with this:
Originally, I was trying to mimic this…
…The spotted back of this Vietnamese moss frog, which I admired last weekend at the Denver Zoo:
A Vietnemese Moss Frog (Theloderma corticale)
The moss frog, with a gift for camouflage, can be found along streams high in the mountains of Vietnam, wallowing in small, water-filled caves and niches. Although they don’t live in trees, or resemble common tree frogs, they belong to the “Old-world tree frog” family, Rhacophoridae. I found this fact somewhat amusing, as I looked at today’s fractal, for in the background, tree frogs seemed to be lurking everywhere.
You might think I’m seeing things, but I’ll let you judge for yourself. Take a look at the following piece of the fractal (found near the upper left corner), and compare it with this farmland tree frog (Rhacophorus arvalis), a cousin of T. corticale, which dwells among the bamboo forests and farms of Taiwan:
It’s rather eerie, if you ask me. Cute, sure, but definitely eerie.