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Why is a mountain a fractal?
It does. And if you reduce something infinitely times, what do you get?
Can you explain to me how to measure the root of a plant using fractal geometry.
Try calculating the ratio of two steps in getting the menger sponge...
Prove that the volume of the menger sponge is zero.
Okay, you got it. After all what do Barnsley and Mandelbrot know anyway? The essence of fractals begins Isaac Newton and Arthur Cayley. Take a look at the drawing.
What is a non-integer dimension.
And just to make sure a fractal is an image that has the same shape as the base when zoomed. I got that from library.thinkquest when I googled koch snowflake.
Can you explain to me how a cloud, pineapple and fern resemble fractals and how a coastline is a fractal.
According to Benoit your brother is correct.
Yes and it is equally interesting.
The Apollonian gasket is also a nice one, but a bit less three dimensional...
Oh how disappointing. You take a photo of one and show it to me, and then it turns out it doesn't exist. That's a great camera you've got there.