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The algorithm

As I mentioned earlier, the algorithm goes something like the following:

  • Draw a line connecting every point to its immediate neighbor on the circumference of the circle.
  • Draw a line connecting every other point on the circumference of the circle.
  • Draw a line connecting every third point on the circumference of the circle.
  • Continue this process until the number of iterations satisfies the number of Loops specified by the user.

The code in the outer loop that begins in Listing 15 is responsible for identifying the beginning and ending points for the lines that will be drawnduring one iteration of the outer loop. Given the above information and the embedded comments in Listing 15 , you should have no difficulty understanding the logic in Listing 15 .

Draw the lines

The inner loop in the pair of nested loops is shown in Listing 16 . This loop constructs a series of GM2D04.Line objects and then causes visual manifestations of those objects to be drawn on the off-screen image.

Listing 16 . Draw the lines.
for(int cnt = 0;cnt<numberPoints;cnt++){ if(start<numberPoints-1){ start++;}else{ //Wrap aroundstart -= (numberPoints-1); }//end elseif(end<numberPoints-1){ end++;}else{ //Wrap around.end -= (numberPoints-1); }//end else//Create some interesting colors.g2D.setColor(new Color(cnt*255/numberPoints, 127+cnt*64/numberPoints,255-cnt*255/numberPoints));//Create a line and draw it. line = new GM2D04.Line(points[start],points[end]);line.draw(g2D); }//end inner loop}//end outer loop }//end drawOffScreen

Once again, given what you now know, and given the embedded comments in the code, you should have no difficulty understanding the logic of the code. Note inparticular the requirement to wrap around when the element number exceeds the length of the array containing references to the GM2D04.Point objects that specify the locations of the vertices of the geometric object.

End of the discussion of StringArt01

That ends the discussion of the program named StringArt01 .. It also ends the discussion of all five of the programs that I promised to explain in this module.

Homework assignment

The homework assignment for this module was to study the Kjell tutorial through Chapter 5 - Vector Direction .

The homework assignment for the next module is to study the Kjell tutorial through Chapter 6 - Scaling and Unit Vectors .

In addition to studying the Kjell material, you should read at least the next two modules in this collection and bring your questions about that material tothe next classroom session.

Finally, you should have begun studying the physics material at the beginning of the semester and you should continue studying one physics moduleper week thereafter. You should also feel free to bring your questions about that material to the classroom for discussion.

Run the programs

I encourage you to copy the code from Listing 18 through Listing 21 .Compile the code and execute it in conjunction with the game-math library provided in Listing 17 . Experiment with the code, making changes, and observing the results of your changes. Make certain that youcan explain why your changes behave as they do.

Questions & Answers

differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
what is labour ?
Lambiv
how will I do?
Venny Reply
how is the graph works?I don't fully understand
Rezat Reply
information
Eliyee
devaluation
Eliyee
t
WARKISA
hi guys good evening to all
Lambiv
multiple choice question
Aster Reply
appreciation
Eliyee
explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
yes,thank you
Shukri
Can I ask you other question?
Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Lilia Reply
what is the difference between economic growth and development
Fiker Reply
Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
Abdisa Reply
any question about economics?
Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
types of unemployment
Yomi Reply
What is the difference between perfect competition and monopolistic competition?
Mohammed
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Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
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