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boycritter:

i am telling my mother about fractal dimensions she tells me she doesnt get it i try so very hard to explain topological dimension is what we usually think about in terms of dimensionality i do not tell her this is only applicable to Euclidean space i don’t know if i can it’s not because she wouldn’t get it i just don’t think I have the words for it topological dimension is an integer it is easily knowable and well understood my mother says she understands i know the mathematical definitions confuse her but i can tell she is trying because it is her daughter telling her this ALT
fractal dimensions are more complicated they consider the infinities between each point what goes unseen in our daily lives my mother asks me what are fractals again? and i consider the chasm between us i know how much she loves me and i know there are things i will never be able to put into words fractal dimensions quantify complexity as a ratio of the change in detail to the change in scale it can take a non-integer value and my mother still does not get it and i am weeping not because she does not comprehend but because i comprehend far too much i beg of my mother to listen to her son my mother hugs me and tells me she understands and i know she is not talking about the mathALT