Does there exist a L-system for this Pierced Diamond Fractal?
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I'm just using L-systems. I do not know how to prove anything about them. I want to know whether it is possible to formulate an L-system for this Pierced Diamond Fractal. All my trials have failed.
Thank you in advance.
computational-geometry fractals
asked Dec 4 '18 at 15:09
José MilánJosé Milán
214
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add a comment |
$begingroup$
I'm just using L-systems. I do not know how to prove anything about them. I want to know whether it is possible to formulate an L-system for this Pierced Diamond Fractal. All my trials have failed.
Thank you in advance.
computational-geometry fractals
asked Dec 4 '18 at 15:09
José MilánJosé Milán
214
$endgroup$
add a comment |
$begingroup$
I'm just using L-systems. I do not know how to prove anything about them. I want to know whether it is possible to formulate an L-system for this Pierced Diamond Fractal. All my trials have failed.
Thank you in advance.
computational-geometry fractals
asked Dec 4 '18 at 15:09
José MilánJosé Milán
214
$endgroup$
I'm just using L-systems. I do not know how to prove anything about them. I want to know whether it is possible to formulate an L-system for this Pierced Diamond Fractal. All my trials have failed.
Thank you in advance.
computational-geometry fractals
computational-geometry fractals
asked Dec 4 '18 at 15:09
José MilánJosé Milán
214
asked Dec 4 '18 at 15:09
José MilánJosé Milán
214
asked Dec 4 '18 at 15:09
José MilánJosé Milán
214
asked Dec 4 '18 at 15:09
José MilánJosé Milán
214
asked Dec 4 '18 at 15:09
José MilánJosé Milán
214
214
add a comment |
add a comment |
1 Answer
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I think it is possible, at least it seems to be possible to generated the shape with a graph directed iterated function system of similarities, which I believe (a reference would be appreciated, I couldn't find one in a quick internet search...) has equivalent expressive power to L-systems:
red rule:
blue rule:
seed rule:
result:
(sorry for the crude appearance, it's just a quick sketch in my https://mathr.co.uk/blog/2007-10-03_graphgrow.svg )
answered Dec 4 '18 at 17:15
ClaudeClaude
2,468523
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1 Answer
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active
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1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
I think it is possible, at least it seems to be possible to generated the shape with a graph directed iterated function system of similarities, which I believe (a reference would be appreciated, I couldn't find one in a quick internet search...) has equivalent expressive power to L-systems:
red rule:
blue rule:
seed rule:
result:
(sorry for the crude appearance, it's just a quick sketch in my https://mathr.co.uk/blog/2007-10-03_graphgrow.svg )
answered Dec 4 '18 at 17:15
ClaudeClaude
2,468523
$endgroup$
add a comment |
$begingroup$
I think it is possible, at least it seems to be possible to generated the shape with a graph directed iterated function system of similarities, which I believe (a reference would be appreciated, I couldn't find one in a quick internet search...) has equivalent expressive power to L-systems:
red rule:
blue rule:
seed rule:
result:
(sorry for the crude appearance, it's just a quick sketch in my https://mathr.co.uk/blog/2007-10-03_graphgrow.svg )
answered Dec 4 '18 at 17:15
ClaudeClaude
2,468523
$endgroup$
add a comment |
$begingroup$
I think it is possible, at least it seems to be possible to generated the shape with a graph directed iterated function system of similarities, which I believe (a reference would be appreciated, I couldn't find one in a quick internet search...) has equivalent expressive power to L-systems:
red rule:
blue rule:
seed rule:
result:
(sorry for the crude appearance, it's just a quick sketch in my https://mathr.co.uk/blog/2007-10-03_graphgrow.svg )
answered Dec 4 '18 at 17:15
ClaudeClaude
2,468523
$endgroup$
I think it is possible, at least it seems to be possible to generated the shape with a graph directed iterated function system of similarities, which I believe (a reference would be appreciated, I couldn't find one in a quick internet search...) has equivalent expressive power to L-systems:
red rule:
blue rule:
seed rule:
result:
(sorry for the crude appearance, it's just a quick sketch in my https://mathr.co.uk/blog/2007-10-03_graphgrow.svg )
answered Dec 4 '18 at 17:15
ClaudeClaude
2,468523
answered Dec 4 '18 at 17:15
ClaudeClaude
2,468523
answered Dec 4 '18 at 17:15
ClaudeClaude
2,468523
answered Dec 4 '18 at 17:15
ClaudeClaude
2,468523
2,468523
add a comment |
add a comment |
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