Explanation A Liden Meyer system which is commonly known as L-system is a system of rewriting type and similar to a formal grammar. This system is consist of an alphabet which is of symbols and that can be utilized to make the strings and the collection of the rules used for production that can expand each of the available rewriting system and a type of grammar of formal nature. This system has an alphabet which is made up of symbols and that can be utilized to create strings, production rules collection which expand every symbol to the symbols of larger string, and an “axiom” string that is used to begin the construction. Also, a mechanism is needed for translating the strings that are generated into the geometric structures. In 1968 , Liden Meyer which was a Hungarian botanist and the theoretical biologist introduce and developed the L-system. He utilized the system to explain the plant cells behavior and so to model the plant development growth processes. The L-systems are also utilized for the modelling of morphology of the different type of organisms and can also be utilized to create the self-similar type of fractals. The nature of the rules of the L-system which is of a recursive type leads to the self-similarity and so fractal-like forms are very easy to give description with a Liden Meyer system. Models of the plant and of those of the natural-looking organic forms are very easy to define and by increasing the level of recursion the form grows slowly and gets more complex. These systems are very popular in the artificial life generation. These systems are now very commonly known as the parametric L-systems, termed as a tuple. G = ( V , ω , P ) , where V : it is the alphabet which is a set containing symbols having both the elements Elements that can be replaced termed as variables and those which cannot be replaced termed as "constants" or "terminals" ω (termed as the start, initiator or axiom) is a string containing symbols from the V which defines the initial state for the system. P it is a set having production rules which defines the way different variables can be replaced with the constant and variables combinations. A particular production that has two strings, one is the predecessor and the other one is successor. Let for a symbol A where the symbol A is a member of V set and that not appear to the left side of the production in the P, and the identity-production A ? A is considered; and we term these symbols as the terminals or the constants. Examples of L-systems Original L-system by Liden Mayer for modelling the growth of algae. Consider two variables and no constants

8th Edition

ISBN: 9781260521337

Author: ROSEN

Publisher: MCG

See similar textbooks

Videos

Question

Chapter 13, Problem 1WP

To determine

The way that the growth of certain types of plants can be modeled using a Liden Meyer system.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13, Problem 5CAE

Chapter 13, Problem 2WP

Students have asked these similar questions

Explain how a within-subjects design avoids the problems created by individual differences and how a between-subjects design avoids the problems created by order effects.

Find the number of arrangements of the word LEARNING where every vowel has at least one consonant beside it (either directly on its left, or directly on its right, or both).

you will read brief descriptions of six research studies. As you read about each study, (a) classify the type of research that it reflects, and (b) identify the kinds of conclusions that might reasonably be drawn from the results. A high school biology teacher is teaching her students the hierarchy that biologists use to classify living things: kingdom, phylum, class, order, family, genus, and species. One common strategy for remembering the hierarchy is to think of the sentence "King Philip comes over for good spaghetti," in which the words begin with the same letters as the words in the hierarchy (K P C O F G S). The teacher wants to know whether this sentence is actually helpful for students. She creates two handouts describing the classification hierarchy; the handouts are almost identical, but one includes the "King Philip" sentence and the other does not. She shuffles the two handouts together in a pile and distributes one handout to each student in her class. The…

Chapter 13 Solutions

DISCRETE MATHEMATICS+ITS APPL. (LL)-W/A

Ch. 13.1 - Exercises 1-3 refer to the grammar with start...Ch. 13.1 - Exercises 1-3 refer to the grammar with start...Ch. 13.1 - Prob. 3E Ch. 13.1 - Let G=(V,T,S,P) be the phrase-structure grammar...Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Show that the grammar given in Example 5 generates...Ch. 13.1 - Prob. 9E Ch. 13.1 - Prob. 10E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The way that the growth of certain types of plants can be modeled using a Liden Meyer system.

Solution Summary: The author describes Liden Meyer's L-system, which is a system of rewriting type and similar to formal grammar.

Videos

The way that the growth of certain types of plants can be modeled using a Liden Meyer system.

Want to see the full answer?

Chapter 13 Solutions