1.14 Game 2302-0140: our first 3d game program  (Page 4/27)

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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.

Exercises

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.

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.

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.

suppose you are the manager of a perfect competitive firm. your total cost of production is given by TC=100+Q2 suppose you are told that the price of their services is \$60 1. how much output should you produce to maximise profit? show calculations 2. determine the level of profit
220
ezhilarasan
what is price control
importance of scale of preference
what are the factors that affect international organization
Organizational structure,communication,mission
Ogunsola
what is international organization
discuss how international organization affect business in Nigeria
Imeobong
An international organization is an organization with an international membership, scope, or presence.
Avishek
thanks
Imeobong
importance of scale of preference
Offei
demand curve
Raphael
demand uuu
Raphael
uu
Raphael
supply curve
Raphael
what is price control
Raphael
what are the factors that affect demand and commodity
if a firm stays on the same isoquant it means ? a. output missteps decrease b. output must stay. the same c. output must increase d. quantity of labour and capital employed must remain the same e. none
A
Were
A
alyssa
B
SEMAN
A
Darren
B
Bertilla
D
Romeo
which one is the right answer pls
Bertilla
😂😂😂😂
Niza
Niza
B
Foley
d
Fasae
b
Alicia
a
Mohammed
hi
DINA
d
DINA
d) none. because isoquants meant different combination of inputs give same level of out and higher the isoquants gives higher the level of output
ezhilarasan
okay
Bertilla
answ. d.quantity of labour and capital employed must remain equal
mohamed
d
Ayoka
B
jephter
analyse this table showing how this affect the law of diminishing demand return
What are diminishing marginal returns as they relate to costs?
michael
what are diminishing demand
Bertilla
please can you explain it to me because am new to economics
michael
the law of diminishing state that as more and more variable factor is added to a fixed cost, it will increase first and later its begins to fall until its get to zero. that were ur mc equal to zero
Fasae
thanks dr
Bertilla
The law of diminishing demand states that, if the price of a product is raised, a smaller quantity will be demanded and if the price of a product is lowered, a greater quantity will be demanded.
Were
The law of diminishing returns, also referred to as the law of diminishing marginal returns, states that in a production process, as one input variable is increased, there will be a point at which the marginal per unit output will start to decrease, ceteris puribus
Were
guys I need to know what is meant by basic economic mathematics and explain please
It's also the usage of mathematical tools to express and analyse economic problems.
Rasaq
so basically it's the use of mathematical formulas to solve the problems under demand and supply right...
Lovemore
Yes, though economic analysis majorly has to deal with demand and supply forces in fact the back bone of economics rest on demand and supply but there are other functions like consumption function, implicit ,explicit, monotonic( constant, increasing, decreasing), transcendential, homogeneous, polyn
Rasaq
wat improvement do economic has with our life
it help us how to use our limited resources to satisfy our unlimited wants
Pagnol
Economics assit in understanding the pre-requisite for Growth and developmen and how the workings of the economy operates.
Rasaq
Economic helps us to manager our limited resources, how to expand it, etc over unlimited want
Eagle
Economics is the social Science in which we study how scarce resources are allocated for the betterment of human being.
what is equilibrium point
where price and quantity demanded meet
Pagnol
is the point where price an quantity demanded meet
Aminata
why do consumer demand curve tend to move downward slope
Aminata
Equilibrium point is the point at which quantity demand equals quantity supply.
Rasaq
What is monopoly
Is a strict example of an imperfect market where there is only one seller and many buyer for a particular product.
Rasaq
what is economics
economics us behavior. Of people, nations, markets etc. It has much to do with reactions. watch MSNBC. Bloomberg. everyday they talk about how the markets react to an piece of news, legislation, interest rates etc. Interesting volatile stuff
TOM
but, it also react with science
ezhilarasan
economic is a science with study's the behavior of people,market and price
Bertilla
it's a science which study the behavior of people ,market n price
Bertilla
What is opportunity cost?
Junior
opp. cost~a benefit, profit or value of something that must be given up to acquire or achieve something else
Kim
or something that you foregone
Kim
who is the father of economic
shaikh
Bilal
Nazifi
Jeannette has \$5 and \$10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
What is the expressiin for seven less than four times the number of nickels
How do i figure this problem out.
how do you translate this in Algebraic Expressions
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
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