Let F be a geometric object and let C be the set of counterexamples.
F is a True Fractal ⟺ F satisfies all properties P₁, P₂, …, Pₙ
Where for each counterexample c ∈ C that satisfies P₁…Pₙ:
Define Pₙ₊₁ := “is not like c”
The definition recurses infinitely as new counterexamples emerge.
Corollary: Coastlines exhibit fractal properties at every scale…
except they don’t, because [insert new property],
except that’s also not quite right because [insert newer property],
except actually [insert even newer property]…
It’s not a true fractal, so the length has some finite bounding. It’s just stupidly large, since you are tracing the atomic structure.
Let F be a geometric object and let C be the set of counterexamples.
F is a True Fractal ⟺ F satisfies all properties P₁, P₂, …, Pₙ
Where for each counterexample c ∈ C that satisfies P₁…Pₙ: Define Pₙ₊₁ := “is not like c”
The definition recurses infinitely as new counterexamples emerge.
Corollary: Coastlines exhibit fractal properties at every scale… except they don’t, because [insert new property], except that’s also not quite right because [insert newer property], except actually [insert even newer property]…
□ (no true scotsman continues fractally)
This motherfucker coming correct with subscripts.