We live in a 3 dimensional world. So, line and plane as 1 and 2 dimensional objects do not exist in reality although using these concepts are useful for modeling some problems such as motion in one direction. I have more difficulty about fractals. Although they are like 1 and 2 dimensional objects in regards that they do not happen in reality, I cannot comprehend their possible usage in modelling some problems. For 1 and 2 dimensional objects we can think of them as a limiting case of 3 dimension. For example if we keep x and y coordinate constant and just move along z direction we get the one dimensional motion. I cannot imagine such a thing for a fractal. If they are not just mathematical entities, how is it possible to use them to describe a physical phenomena in a 3 dimensional world? For example how would it be possible to walk on the edge of a fractal?
2026-03-28 01:46:16.1774662376
Do fractals really happen in nature?
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