Are L-systems and their string-rewriting rules the only link between formal grammar & geometric structures?

Question

Are L-systems and their string-rewriting rules the only link between formal grammar & geometric structures?

Answer 1

What is..."I have no idea what the hell you're talking about", Alex.



I'll take "Songs With Masturbatory Overtones" for 500.

Answer 2

Am one hundred percent sure that this must be the only time when an Answerer would be asking the Asker for a translation!!! :D



Counter Question, if you please! Is everything in the Universe related to some branch or the other of The Mathematics?!?



How can something supposedly originated Randomly be at mercy of definitions, equations, formulae and such binding rules?



Hope you may have the Answer! :)



(((((< I >)))))



Edit: Wow! Tell me honestly, Sweetie, don't YOU ever get to see such dreams??? I'm sure Ramu wasn't/isn't/will not be the only one treated to "Visions". And that there's no randomness in the Universe...though, admittedly, there could be rogue elements defying laws of Nature! How does Mathematics account for them?!?



I see! Goddesses with a figure of an 8...and not stick-y 1s, right?!? ;D

Answer 3

Sorry dude, I can't spend an hour googling your questions tonight. I need to run to the store.



Pfffft.

Answer 4

Not that I'm an expert on any of this, but I'd be quite surprised if there was only one single way to make such a link. Even if no other currently extant and well-understood links exist, I would imagine that other links could be developed. I mean, both grammar and geometry are pretty huge fields with lots of facets; there simply must be other ways to link them.



As usual, < I >'s rule applies; meaning that I very well may have completely misunderstood another one of your questions.

Answer 5

I dunno.



My Gramma insisted on casual..



http://www.youtube.com/watch?v=qv5pagal-ls

Answer 6

Goodness - don't you know about L-space?



Books = Knowledge = Power = (Force x Distance^2) ÷ Time.



http://wiki.lspace.org/mediawiki/index.php/L-space







As a cancer survivor, my heart goes out to both you and the White Kitty.







Thank you, (((((< I >))))). I'm waiting for the 23rd to see how I'm doing. In the meantime.....well, there's Vicodin and Flexeril.

Hope you're doing better than me. :)

Answer 7

I found your question when I searched for "difference between a mathematical structure and a mathematical space", which led me to search for "is a formal system a mathematical structure", which produced your question as one hit for that search. I'm still searching. Sorry I don't have an answer. I have a degree in mathematics and computer science, so I know a little bit about geometry and formal grammars and recursive definitions. I have a several books on logic and at least one of them defines and proves theorems about L-systems (I think, I haven't had time to read it yet, though I have scanned it and use it as a reference.) I'm sorry I don't have an answer to your question, but I want you to know that you're not the only one looking.

Answer 8

Y!A has continually been group moderated due to the fact its inception in 2005. I dont get where persons feel the process that went into place last September was someway NEW, seeing that it used to be now not. How would the asker of this query consider in the event that they knew that surely the humans turning in the abuse IN BULK are definitely users which can be level 6 and seven which have grown so weary of the abuse that they take it upon themselves so as to add a quota of "studies" to their everyday quota of solutions, questions and votes??? I've been known to document in bulk, but I document the ABUSE, no longer the abuser. I fairly dont care who the person identify is below the avatar. I am looking at the ABUSE, now not THE ABUSER. Yahoo isnt going to hire a bunch of persons to moderate a FREE forum. The only way you are going to get around this is to charge for Y!A like Google solutions did... But then you'll see the website end up the ghost city GoogleA did... The kiddies will by no means under no circumstances not ever pay to publish their swill... Under no circumstances.

Answer 9

I found the L-systems srr description: ( .http://natcomp.liacs.nl/CSA/slides/CSA7.pdf )

My head is about to explode. (It all starts looking like turtles on branchial trees all the way up)



Are you implying, that plants, crystals and (us?) are just a math models (enabled by chem. reaction properties of elements) working on a biochemistry/physic synatx base in order to grow? SSF as usual, questions everything and i think, based on his observation, that nature has such an abundance of models, that ssr cannot be the only one.

That's explains my life long question - "why are snow/ice crystals never perfectly orderly? http://www.google.cz/imgres?imgurl=http://soak-blog.andrewkelsalldes.netdna-cdn.com/wp-content/uploads/2011/01/snowflake-under-microscope-image-2-667x852.jpg&imgrefurl=http://www.designsoak.com/snowflakes-under-microscope/&h=852&w=667&sz=147&tbnid=YllfoetMIc_2eM:&tbnh=90&tbnw=70&zoom=1&usg=__IO_cnFPlycIfjXGGw4lK003df1Q=&docid=kQ9LvcL0hpmf3M&sa=X&ei=cL5eUd7VJ4W1hAflw4HQBw&ved=0CDoQ9QEwAw&dur=37



If yes, i love you for that . Because you put my minds in a spin. I need that. I really do.

I am fighting a total despair for a week and half now. My dad, my everything i have left from a childhood innocence, was diagnosed with cancer. Terminal. He doesn't know i know. I need to deal with that. And as a recreation, i take your Q as a challenge.

I am unable to solve any problem regarding string rewriting rules, but it'll keep me busy.