The Neurological Coastline Paradox

The coastline paradox is the counterintuitive observation that the coastline of a landmass does not have a well-defined length. This results from the fractal-like properties of coastlines, i.e., the fact that a coastline typically has a fractal dimension (which in fact makes the notion of length inapplicable). 


The first recorded observation of this phenomenon was by Lewis Fry Richardson[1] and it was expanded upon by Benoit Mandelbrot.( If we applied the same rule in the brain’s topography (especially in the cortical cortex) we can conclude the brain has fractal properties. One example, If our brain tends to infinitum then our capability to produce thoughts, representations, and mental imaginery are infinite too.


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