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Draw the border

While the single GM2D02.Line object is at each location, draw methods are called to cause a Line2D.Double object to be instantiated and rendered on each of the off-screen images. This results in four differentvisual manifestations of the single GM2D02.Line object, producing visible lines at the edges of each off-screen image. Although this code is notparticularly straightforward, the embedded comments should suffice to explain it.

Draw the hexagon

Essentially the same process is used to draw the hexagon shown in the left image in Figure 1 . You can view the code that does that in Listing 28 . Once you understand the code that I explained above, you should have nodifficulty understanding the code that draws the hexagon.

Draw the vectors

A very similar process is used to draw the vectors shown in the right image in Figure 1 . You can view the code in Listing 28 . Once again, if you understand the code that I explained above, you should have no difficultyunderstanding the code that draws the vectors.

That ends the explanation of the program named PointLine04 .

Documentation for the GM2D02 library

Click here to download a zip file containing standard javadoc documentation for the library named GM2D02 . Extract the contents of the zip file into an empty folder and open the filenamed index.html in your browser to view the documentation.

Although the documentation doesn't provide much in the way of explanatory text (see Listing 26 and the explanations given above) , the documentation does provide a good overview of the organization and structure of the library. You may find ithelpful in that regard.

Homework assignment

Your homework assignment for this module was to study Kjell's CHAPTER 0 -- Points and Lines plus CHAPTER 1 -- Vectors, Points, and Column Matrices down through the topic titled Variables as Elements .

The homework assignment for the next module is to study the Kjell tutorial through Chapter 2 -- Column and Row Matrix Addition .

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 module per weekthereafter. 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 26 , Listing 27 , and Listing 28 , compile it, and execute it. Experiment with it, making changes, and observingthe results of your changes. Make certain that you can explain why your changes behave as they do.


In this module, you learned how to update the game-math library to provide a number of new capabilities including the addition of graphics to the library andthe addition of set methods for column matrices, points, vectors, and lines.

You also saw sample programs that illustrate the use of those new capabilities and you learned how to draw on off-screen images.

Questions & Answers

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
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 ?
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?
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
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
what is the k.e before it land
what is the function of carbon nanotubes?
I'm interested in nanotube
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
what is system testing
what is the application of nanotechnology?
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
anybody can imagine what will be happen after 100 years from now in nano tech world
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
silver nanoparticles could handle the job?
not now but maybe in future only AgNP maybe any other nanomaterials
I'm interested in Nanotube
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
can nanotechnology change the direction of the face of the world
Prasenjit 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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