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Convex hull of the Mandelbrot set

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#fractals #complex-dynamics
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How do I prove the circumference of the Koch snowflake is divergent?

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#limits #proof-writing #fractals
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Simplifying $\sqrt {1+\sqrt 5}$

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#algebra-precalculus #radicals #fractals #nested-radicals
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If $f(x)=x^2-x-1$ and $f^n(x)=f(f(\cdots f(x)\cdots))$, find all $x$ for which $f^{3n}(x)$ converges.

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#limits #polynomials #dynamical-systems #fractals #chaos-theory
1.1k
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Self-similar fractal dimension of unsymmetrial fractal

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#fractals #dimension-theory-analysis
331
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Structure of Mandelbrot bug antennae

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#fractals
40
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looking for functions that are randomized, aperiodic, non-recursive, ... (help my terminology)

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#terminology #random #fractals #tiling
547
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Does there exist an L-system for the sierpiński curve

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#geometry #algorithms #formal-languages #fractals
37
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Term used to refer to a graph whose nodes correspond to another graph with the same basic structure.

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#graph-theory #fractals
1.8k
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What is the fractal dimension/Hausdorff dimension of a Koch's snowflake?

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#fractals #dimension-theory-analysis
77
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Number of circles in Apollonian fractals

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#geometry #fractals
1.1k
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Is a fractal per definition mise en abyme?

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#fractals
231
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Can you see a fractal in primes in base binary?

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#prime-numbers #fractals
384
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What are the Euler characteristics of fractals?

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#general-topology #surfaces #fractals
152
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IFS of compact set

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#general-topology #dynamical-systems #fractals #iterated-function-system

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