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The first quote is from Mandelbrot’s 2004 interview with Valerie Jamieson of New Scientist. The article seems to have disappeared, but the Vintage Spear Britney T-Shirt also I will do this Internet Archive has a cached version: I believe the fractal occurs for a number of different reasons. One reason is that they have special properties. Many 3-D fractals have very large surface-to-volume ratios. This makes the fractal structure optimal for human lungs as well as countless other plant and animal structures.

The same explanation makes sense for cauliflower (though I don’t know if it’s correct) because cauliflower wants to receive as much sunlight as possible and have the Vintage Spear Britney T-Shirt also I will do this most efficient distribution network possible without No need to use too many resources. Another reason why fractals appear is because patterns often appear. Not all patterns are fractals, but the nature of the patterns can cause fractals. When you repeat a simple process over and over, it can create patterns that look similar. An example is rivers. When some water begins to flow downward, it creates a path. If there’s more water around, it’s more likely to go one way than another. Over time, more and more countries followed the same path, continuously digging deeper. When two rivers meet, they form a larger river. Since the water flow is not straight, in places with abundant rainfall, rivers necessarily flow through. This is how great rivers can survive; a lot of small rivers are created the same way and they all follow “random” paths in the same way (not exactly random but very chaotic), so they will all eventually merge. turned into a big river. It definitely helps the water flow down.

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