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Exercises

Exercise 1

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws a horizontalline segment and a vertical line segment representing the x and y axes in a 2D Cartesian coordinate system as shown in Figure 2 .

Cause the origin of your reference frame be at the center of your drawing.

Cause the positive x direction be to the right.

Cause the positive y direction be either up or down according to your choice.

Cause the program to display your name in some manner.

Figure 2 Graphic output from Exercise 1.

Missing image.

Exercise 2

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws x and y axes in a 2DCartesian coordinate system as shown in Figure 3 .

Cause the origin of your reference frame be at the center of your drawing.

Cause the positive x direction be to the right.

Cause the positive y direction be either up or down according to your choice.

Then draw small circles that represent the locations of points at the following coordinates in the reference frame as shown in Figure 3 .

  • x = -30, y = -40
  • x = 30, y = -40
  • x = 30, y = 40

Cause the program to display your name in some manner.

Figure 3 Graphic output from Exercise 2.

Missing image.

Exercise 3

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws xand y axes in a 2D Cartesian coordinate system as shown in Figure 4 .

Cause the origin of your reference frame be at the center of your drawing.

Cause the positive x direction be to the right.

Cause the positive y direction be either up or down according to your choice.

Create six random values in the range from -128 to +127. Use those values as the x and ycoordinates for three points in the 2D reference frame. (The code fragment in Listing 29 shows how to generate random values in the required range in Java.)

Display the six values on a text screen labeled in such a way that it is possible to associate the valueswith the points as shown in Figure 5 .

Draw three small circles that represent the locations of the points.

Draw three line segments that connect the three points in pairs creating the shape of a triangle.

Cause the program to display your name in some manner.

Figure 4 Graphic output from Exercise 3.

Missing image.

Figure 5 . Text output from Exercise 3.
point0X: -55 point0Y: 17point1X: 9 point1Y: -37point2X: 14 point2Y: 62
Listing 29. Code for generating random values in Java.
//Define three randomly located points. Random generator = new Random(new Date().getTime());point0X = (byte)generator.nextInt(); point0Y = (byte)generator.nextInt();point1X = (byte)generator.nextInt(); point1Y = (byte)generator.nextInt();point2X = (byte)generator.nextInt(); point2Y = (byte)generator.nextInt();

Exercise 4

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws three small circles that represent thelocations of points at the following coordinates in a 2D reference frame.

  • point0X = -30
  • point0Y = 0
  • point1X = 30
  • point1Y = 40
  • point2X = 30
  • point2Y = -40

Then draw three line segments that extend from edge-to-edge of your drawing and intersect the threepoints in pairs as shown in Figure 6 .

Cause the origin of your reference frame be at the center of your drawing.

Cause the positive x direction to be to the right.

Cause the positive y direction be either up or down according to your choice.

Cause the program to display your name in some manner.

Figure 6 Graphic output from Exercise 4.

Missing image.

Exercise 5

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws 24 vectors tail-to-tail in alternatingcolors of red, green, and blue as shown in Figure 7 .

The first vector is red.

The length of each vector is 100 pixels.

The direction of the first vector is +7.5 degrees relative to the horizontal.

The direction of each successive vector is increased by 15 degrees.

For example, the directions of the first four vectors are:

  • 7.5
  • 22.5
  • 37.5
  • 52.5

Draw the symbol of your choice to identify the head of each vector.

Draw the axes for a Cartesian coordinate system in the reference frame.

Cause the positive x direction to be to the right.

Cause the positive y direction be either up or down according to your choice.

Cause positive angles to be either clockwise or counter-clockwise according to your choice.

Cause the program to display your name in some manner.

Figure 7 Graphic output from Exercise 5.

Missing image.

Exercise 6

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws24 vectors tail-to-head in alternating colors of red, green, and blue as shown in Figure 8 .

The first vector is red.

The length of each vector is approximately 17 pixels.

Draw the symbol of your choice to identify the head of each vector.

Draw the axes for a Cartesian coordinate system in the reference frame.

Cause the positive x direction to be to the right.

Cause the positive y direction be either up or down according to your choice.

Cause positive angles to be either clockwise or counter-clockwise according to your choice.

Cause the program to display your name in some manner.

Figure 8 Graphic output from Exercise 6.

Missing image.

Exercise 7

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws 24 vectors tail-to-head in alternatingcolors of red, green, and blue as shown in Figure 9 .

The first vector is red.

Begin with a length of 24 pixels for the first vector and reduce the length of each successive vector by one pixel.

Draw the symbol of your choice to identify the head of each vector.

Draw the axes for a Cartesian coordinate system in the reference frame.

Cause the positive x direction to be to the right.

Cause the positive y direction be either up or down according to your choice.

Cause positive angles to be either clockwise or counter-clockwise according to your choice.

Cause the program to display your name in some manner.

Figure 9 Graphic output from Exercise 7.

Missing image.

-end-

Questions & Answers

what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
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Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
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Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
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AMJAD
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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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