expressivity of graph directed IFS and L-systems
1
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In my answer to Does there exist a L-system for this Pierced Diamond Fractal? I asserted that graph directed iterated function systems of similarities have equivalent expressive power to L-systems. Is this true? A reference would be appreciated.
reference-request fractals
asked Dec 4 '18 at 17:18
ClaudeClaude
2,518523
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add a comment |
1
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In my answer to Does there exist a L-system for this Pierced Diamond Fractal? I asserted that graph directed iterated function systems of similarities have equivalent expressive power to L-systems. Is this true? A reference would be appreciated.
reference-request fractals
asked Dec 4 '18 at 17:18
ClaudeClaude
2,518523
$endgroup$
$begingroup$
So-called "Parametric L-Systems", described in section 1.10 of The Algorithmic Beauty of Plants, can generate borderline fractals (as described in this paper) that cannot be generated with digraph IFSs. Barring parameters, it makes perfect sense to me that L-Systems and digraph IFSs should be able to describe the same sets but I don't have a reference.
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– Mark McClure
Dec 5 '18 at 13:06
add a comment |
1
1
1
$begingroup$
In my answer to Does there exist a L-system for this Pierced Diamond Fractal? I asserted that graph directed iterated function systems of similarities have equivalent expressive power to L-systems. Is this true? A reference would be appreciated.
reference-request fractals
asked Dec 4 '18 at 17:18
ClaudeClaude
2,518523
$endgroup$
In my answer to Does there exist a L-system for this Pierced Diamond Fractal? I asserted that graph directed iterated function systems of similarities have equivalent expressive power to L-systems. Is this true? A reference would be appreciated.
reference-request fractals
reference-request fractals
asked Dec 4 '18 at 17:18
ClaudeClaude
2,518523
asked Dec 4 '18 at 17:18
ClaudeClaude
2,518523
asked Dec 4 '18 at 17:18
ClaudeClaude
2,518523
asked Dec 4 '18 at 17:18
ClaudeClaude
2,518523
asked Dec 4 '18 at 17:18
ClaudeClaude
2,518523
2,518523
$begingroup$
So-called "Parametric L-Systems", described in section 1.10 of The Algorithmic Beauty of Plants, can generate borderline fractals (as described in this paper) that cannot be generated with digraph IFSs. Barring parameters, it makes perfect sense to me that L-Systems and digraph IFSs should be able to describe the same sets but I don't have a reference.
$endgroup$
– Mark McClure
Dec 5 '18 at 13:06
add a comment |
$begingroup$
So-called "Parametric L-Systems", described in section 1.10 of The Algorithmic Beauty of Plants, can generate borderline fractals (as described in this paper) that cannot be generated with digraph IFSs. Barring parameters, it makes perfect sense to me that L-Systems and digraph IFSs should be able to describe the same sets but I don't have a reference.
$endgroup$
– Mark McClure
Dec 5 '18 at 13:06
$begingroup$
So-called "Parametric L-Systems", described in section 1.10 of The Algorithmic Beauty of Plants, can generate borderline fractals (as described in this paper) that cannot be generated with digraph IFSs. Barring parameters, it makes perfect sense to me that L-Systems and digraph IFSs should be able to describe the same sets but I don't have a reference.
$endgroup$
– Mark McClure
Dec 5 '18 at 13:06
$begingroup$
So-called "Parametric L-Systems", described in section 1.10 of The Algorithmic Beauty of Plants, can generate borderline fractals (as described in this paper) that cannot be generated with digraph IFSs. Barring parameters, it makes perfect sense to me that L-Systems and digraph IFSs should be able to describe the same sets but I don't have a reference.
$endgroup$
– Mark McClure
Dec 5 '18 at 13:06
add a comment |
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$begingroup$
So-called "Parametric L-Systems", described in section 1.10 of The Algorithmic Beauty of Plants, can generate borderline fractals (as described in this paper) that cannot be generated with digraph IFSs. Barring parameters, it makes perfect sense to me that L-Systems and digraph IFSs should be able to describe the same sets but I don't have a reference.
$endgroup$
– Mark McClure
Dec 5 '18 at 13:06