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Learn how to update the game-math library to provide new capabilities including the addition of graphics and set methods for column matrices, points, vectors, and lines. Also study sample programs that illustrate the use of the new capabilities and learn how to draw on off-screen images.

Table of contents


This module is one in a collection of modules designed for teaching GAME2302 Mathematical Applications for Game Development at Austin Community College in Austin, TX.

What you have learned

In the previous module, I presented and explained two sample programs and a sample game-programming math library named GM2D01 , which were intended to implement concepts fromKjell's tutorial in Java code.

The library named GM2D01 is purely mathematical. By that, I mean that the library doesn't provide any mechanism for rendering objects of the ColMatrix , Line , Point , or Vector classes in a visual graphics context. That capability will be added to the version that I will present in this module.

What you will learn

In this module, you will learn how to update the math library to provide a number of new capabilities including the addition of graphics and various set methods. You will also learn that the addition of set methods exposes certain vulnerabilities, and you will learn how to protectagainst those vulnerabilities. Finally, you will learn how to draw on off-screen images.

Viewing tip

I recommend that you open another copy of this module in a separate browser window and use the following links to easily find and view the Figuresand Listings while you are reading about them.


  • Figure 1 . Screen output from both sample programs.
  • Figure 2 . Graphic output from Exercise 1.
  • Figure 3 . Graphic output from Exercise 2.
  • Figure 4 . Graphic output from Exercise 3.
  • Figure 5 . Text output from Exercise 3.
  • Figure 6 . Graphic output from Exercise 4.
  • Figure 7 . Graphic output from Exercise 5.
  • Figure 8 . Graphic output from Exercise 6.
  • Figure 9 . Graphic output from Exercise 7.


  • Listing 1 . Beginning of the class named PointLine03 and the class named GUI.
  • Listing 2 . Beginning of the constructor for the GUI class.
  • Listing 3 . Create two off-screen images.
  • Listing 4 . Remaining code in the constructor.
  • Listing 5 . Beginning of the drawOffscreen method.
  • Listing 6 . Define four lines that will be used to draw borders.
  • Listing 7 . Draw a visual manifestation of each line.
  • Listing 8 . The draw method of the GM2D02.Line class.
  • Listing 9 . Draw a visual manifestation of a GM2D02.Point object.
  • Listing 10 . The draw method of the GM2D02.Point class.
  • Listing 11 . Draw the vertices of a hexagon.
  • Listing 12 . Draw six lines connecting the vertices of the hexagon.
  • Listing 13 . Instantiate three objects of type GM2D02.Vector.
  • Listing 14 . Call the draw method to draw the vector.
  • Listing 15 . The draw method of the GM2D02.Vector class.
  • Listing 16 . Three visual manifestations of the same vector.
  • Listing 17 . Draw the blue vector.
  • Listing 18 . The MyCanvas class and the overridden paint method.
  • Listing 19 . The setData method of the ColMatrix class.
  • Listing 20 . Updated constructor for the Point class in GM2D02.
  • Listing 21 . The drawOffscreen method of the program named PointLine04.
  • Listing 22 . Instantiate a point at the upper-left corner.
  • Listing 23 . Instantiate a moveable Point object.
  • Listing 24 . Instantiate a moveable Line object.
  • Listing 25 . Relocate the Line to three more locations.
  • Listing 26 . Source code for the game-math library class named GM2D02.
  • Listing 27 . Source code for the program named PointLine03.
  • Listing 28 . Source code for the program named PointLine04.
  • Listing 29 . Code for generating random values in Java.

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
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
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
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.
what is the actual application of fullerenes nowadays?
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.
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.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
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.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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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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