History of Hausdorff dimension of some fractals

back to table · edit · history · where entries came from

compare when who what
2026-08-09 09:26 label hoist moved the parameter labels onto the parameter they describe current
2026-08-09 09:16 flattening entries rewritten as records with named parameters
2026-08-09 08:35 data-repository import the current state of the data repository reviewed
2021-09-30 14:59 admin from the data repository, 9919f130

What changed between 2026-08-09 09:16 and 2026-08-09 09:26

from line 6 (10 lines, 6 more than before) @@ -6,4 +6,10 @@
     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.
from line 38 (22 lines, 5 fewer than before) @@ -32,27 +38,22 @@
   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 

Sign in to restore an earlier version.