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title: fractal type: Symbolic+ values:+ apollonian-gasket: Apollonian gasket+ dragon-curve-boundary: Dragon curve's boundary+ feigenbaum-attractor: Feigenbaum attractor+ koch-curve: Koch curve+ sierpinski-triangle: Sierpiński triangle Comments: comment-help-needed: Readers are welcome to add more interesting examples.
number-header: $\text{dim}_H(F)$ Numbers:-- param-latex: Apollonian gasket- comment: Value is only a heuristic estimate CITE{McMullen}, HREF{https://en.wikipedia.org/wiki/Apollonian_gasket}+- comment: Value is only a heuristic estimate CITE{McMullen}, HREF{https://en.wikipedia.org/wiki/Apollonian_gasket} params: F: apollonian-gasket number: '1.305688'-- param-latex: Dragon curve's boundary- comment: 'Exact value: $2\log_2\lambda$, where $\lambda$ is the real solution of+- comment: 'Exact value: $2\log_2\lambda$, where $\lambda$ is the real solution of $\lambda^3-\lambda^2-2 = 0$. HREF{https://en.wikipedia.org/wiki/Dragon_curve}' params: F: dragon-curve-boundary number: '1.523627086202492106277683935954216627284936383401193478138690909457921662895884106892664227464713942'-- param-latex: Feigenbaum attractor- comment: HREF{https://oeis.org/A098587}, HREF{https://en.wikipedia.org/wiki/Logistic_map}+- comment: HREF{https://oeis.org/A098587}, HREF{https://en.wikipedia.org/wiki/Logistic_map} params: F: feigenbaum-attractor number: '3.5699456718709449018420051513864989367638369115148323781079755299213628875001367775263210342163'-- param-latex: Koch curve- comment: 'Exact value: $\log_3(4)$, HREF{https://en.wikipedia.org/wiki/Koch_curve}'+- comment: 'Exact value: $\log_3(4)$, HREF{https://en.wikipedia.org/wiki/Koch_curve}' params: F: koch-curve number: '1.261859507142914874199054228685521708599171280263760855741309887677370402761829610122345377098903491'-- param-latex: Sierpiński triangle- comment: 'Exact value: $\log_2(3)$, HREF{https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle}'+- comment: 'Exact value: $\log_2(3)$, HREF{https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle}' params: F: sierpinski-triangle
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