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  • handle the issue of the positive direction of the y-axis, and
  • draw a small filled circle on the 2D off-screen image representing the head of the vector as shown by the magenta filled circle at the origin in Figure 1 .

The method named GM01.Line3D.draw

The GM01.Line3D.draw method is shown in Listing 6 .

Listing 6 . The GM01.Line3D.draw method.
public void draw(Graphics2D g2D){//Get 2D projection coordinates. GM01.ColMatrix2D tail =convert3Dto2D(getTail().point); GM01.ColMatrix2D head =convert3Dto2D(getHead().point); drawLine(g2D,tail.getData(0),tail.getData(1), head.getData(0),head.getData(1)); }//end draw

The code in Listing 6 is so similar to the code in Listing 5 that no further explanation should be required.

Now back to the program named GM01test01

A complete listing of the program named GM01test01 is provided in Listing 28 near the end of the module.

Because all of the 3D classes in the game-math library are new to this update, I felt the need to write a program that would step through and test thebehavior of most of the 3D methods in the library. That was the purpose of the program named GM01test01 .

Like the program named GM01test02 discussed earlier, this program produces both a graphic screen output and lots of text on thecommand-line screen. The graphic output is shown in Figure 1 . I won't waste space printing the command-line output in this tutorial. Ifyou want to see it, you can copy, compile, and run the program from Listing 28 and produce that output yourself.

The graphic output

The graphic output shown in Figure 1 is produced by the method named drawOffScreen , which begins in Listing 7 . I will briefly walk you through this method because everything in it is new. However, much of thecode is very similar to 2D code that I have explained before.

Listing 7 . Beginning of the drawOffScreen method in GM01test01.
void drawOffScreen(Graphics2D g2D){//Translate the origin on the off-screen // image and draw a pair of orthogonal axes on it.setCoordinateFrame(g2D); //Define eight points that define the corners of// a box in 3D that is centered on the origin.GM01.Point3D[] points = new GM01.Point3D[8]; //Right sidepoints[0] =new GM01.Point3D(new GM01.ColMatrix3D(75,75,75)); points[1]= new GM01.Point3D(new GM01.ColMatrix3D(75,75,-75));points[2] =new GM01.Point3D(new GM01.ColMatrix3D(75,-75,-75)); points[3]= new GM01.Point3D(new GM01.ColMatrix3D(75,-75,75));//Left side points[4]= new GM01.Point3D(new GM01.ColMatrix3D(-75,75,75));points[5] =new GM01.Point3D(new GM01.ColMatrix3D(-75,75,-75)); points[6]= new GM01.Point3D(new GM01.ColMatrix3D(-75,-75,-75));points[7] =new GM01.Point3D(new GM01.ColMatrix3D(-75,-75,75));

After translating the origin to the center of the off-screen image, Listing 7 instantiates eight GM01Point3D objects that define the corners of the 3D box shown in Figure 1 . References to the eight objects are stored in the elements of an array object referred to by thevariable named points . Although this code uses three coordinate values instead of two coordinate values to instantiate the objects, thesyntax should be very familiar to you by now.

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
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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
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Shukri
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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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