Add to ORKGWe revisit the relation between the von Koch curve and the Thue-Morse sequence given in a recent paper of Ma and Goldener by relating their study to papers written by Coquet and Dekking at the beginning of the 80’s. We also emphasize that more general links between fractal objects and automatic sequences can be found in the literature.
We study the convergence of the parameter family of series: V α , β ( t ) = ∑ p p − α ...
The de Rham curves are a set of fairly generic fractal curves exhibiting dyadic symmetry. Described ...
The self-similarity of the von Koch curve (L'autosimilarite de la courbe de von Koch
AbstractThe Koch Curve can be obtained as an iterated function system construction. Self-similar int...
In his fascinating book Wonders of Numbers, Cliord Pickover introduces the Ana sequence and fractal,...
The simplest infinite sequences that are not ultimately periodic are pure morphic sequences: fixed p...
<p>Abstract</p> <p>The Koch snowflake fractal attractor was analysed by Lorenz and Gini methods. It ...
The Thue-Morse sequence is an aperiodically ordered infinite binary sequence. It is used as a one-di...
A fractal is a mathematical pattern that has several distinct features. Firstly, it must exhibit sel...
Space-filling curves have been colloquially referred to as "fractals" since the term was coined and ...
Fractal objects have some unique geometrical properties. One of them is the possibility to enclose i...
A new mathematical concept of abstract similarity is introduced and is illustrated in the space of i...
This paper will involve an investigation into Fractals, particularly the Koch Snowflake. The history...
We show that there are several very close connections between chaos and fractals and between fractal...
<p>The wealth and income Lorenz Curves are a fractal phenomena and is best demonstrated using the (K...
We study the convergence of the parameter family of series: V α , β ( t ) = ∑ p p − α ...
The de Rham curves are a set of fairly generic fractal curves exhibiting dyadic symmetry. Described ...
The self-similarity of the von Koch curve (L'autosimilarite de la courbe de von Koch
AbstractThe Koch Curve can be obtained as an iterated function system construction. Self-similar int...
In his fascinating book Wonders of Numbers, Cliord Pickover introduces the Ana sequence and fractal,...
The simplest infinite sequences that are not ultimately periodic are pure morphic sequences: fixed p...
<p>Abstract</p> <p>The Koch snowflake fractal attractor was analysed by Lorenz and Gini methods. It ...
The Thue-Morse sequence is an aperiodically ordered infinite binary sequence. It is used as a one-di...
A fractal is a mathematical pattern that has several distinct features. Firstly, it must exhibit sel...
Space-filling curves have been colloquially referred to as "fractals" since the term was coined and ...
Fractal objects have some unique geometrical properties. One of them is the possibility to enclose i...
A new mathematical concept of abstract similarity is introduced and is illustrated in the space of i...
This paper will involve an investigation into Fractals, particularly the Koch Snowflake. The history...
We show that there are several very close connections between chaos and fractals and between fractal...
<p>The wealth and income Lorenz Curves are a fractal phenomena and is best demonstrated using the (K...
We study the convergence of the parameter family of series: V α , β ( t ) = ∑ p p − α ...
The de Rham curves are a set of fairly generic fractal curves exhibiting dyadic symmetry. Described ...
The self-similarity of the von Koch curve (L'autosimilarite de la courbe de von Koch