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It is also useful to set only one of the rotation angles to a non-zero value and watch the rotation around a line parallel to that axis take place.

A stop-action screen shot

Figure 4 shows a screen shot of the disk in motion somewhere between the beginning and the end of its very complex trajectory forone particular set of rotation and anchor point parameters.

Figure 4 Screen shot of the graphic output from StringArt04.

Missing image.


I will also provide exercises for you to complete on your own at the end of the module. The exercises will concentrate on the material that you have learnedin this and previous modules.

Discussion and sample code

The game-math library named GM01

The game-math library named GM01 has not been modified since I presented and explained it in an earlier module titled GAME 2302-0135: Venturing into a 3D World . A copy of the source code for the library is provided in Listing 30 for your convenience. Since Ihave explained the code in the library in earlier modules, I won't repeat those explanations here.

A link to a zip file containing documentation for the library was provided in the earlier module.

The game program named GM01test08

This is an interactive 3D game program. In fact, this is the first game program that I have presented in this collection on game math. This gamesimulates a school of prey fish being attacked and eaten by a predator. The objective for the player is to cause the predator to eat all of the prey fish ina minimum amount of time. Although the story line of the game is rather simple, the math involved is not simple at all.

Player initiates attacks

The player in this game initiates a series of attacks by the predator by clicking the Attack button shown in Figure 5 . The winning strategy for the player is to time the attacks in such a way as to minimize the elapsed timerequired for the predator to eat all of the prey fish. The final elapsed time depends on both strategy and chance. In other words, as is the case in manygames, this game is part strategy and part chance.

A swirling cluster of prey fish

The prey fish, (shown in red) , tend to swim in a large swirling cluster as shown in Figure 5 when they aren't being harassed by the predator.

Figure 5 Prey fish in a large swirling cluster.

Missing image.

Predator behavior

The predator, (shown in blue in Figure 5 ) , swims around the cluster, darting into and through the cluster when the user clicks the Attack button. During an attack, the predator attempts to eat as many prey fish aspossible. When the predator attacks, the prey fish tend to scatter (as shown in Figure 1 ) , breaking up their tight formation and making it more difficult for the predator to catch them. If the predator is allowed to swim around themagain for a short period following an attack, they will form back into a cluster.

Proper timing is important

The attacks should be timed so that the prey fish are in a reasonably tight cluster at the beginning of each attack so that multiple prey fish will be eatenduring the attack. However, allowing too much time between attacks is detrimental because it increases the total elapsed time. Thus, the player mustmake a tradeoff between elapsed time between attacks and the tightness of the cluster at the beginning of each attack. Another disadvantage of waiting too long between attacks will be explained later.

Questions & Answers

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
yes that's correct
I think
Nasa has use it in the 60's, copper as water purification in the moon travel.
nanocopper obvius
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
how nano science is used for hydrophobicity
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
what is differents between GO and RGO?
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
analytical skills graphene is prepared to kill any type viruses .
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
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.
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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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