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  • Channelling an explosion along a narrow passage

    - by finnw
    I am simulating explosions in a 2D maze game. If an explosion occurs in an open area, it covers a circular region (this is the easy bit.) However if an explosion occurs in a narrow passage (i.e narrower than the blast range) then it should be "compressed", so that it goes further and also it should go around corners. Ultimately, unless it is completely boxed-in, then it should cover a constant number of pixels, spreading in whatever direction is necessary to reach this total area. I have tried using a shortest-path algorithm to pick the nearest N pixels to the origin avoiding walls, but the effect is exaggerated - the blast travels around corners too easily, making U-turns even when there is a clear path in another direction. I don't know whether this is realistic or not but it is counter-intuitive to players who assume that they can hide around a corner and the blast will take the path of least resistance in a different direction. Is there a well-known (and fast) algorithm for this?

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  • What library for octrees or kd-trees?

    - by Will
    Are there any robust performant libraries for indexing objects? It would need frustum culling and visiting objects hit by a ray as well as neighbourhood searches. I can find lots of articles showing the math for the component parts, often as algebra rather than simple C, but nothing that puts it all together (apart from perhaps Ogre, which has rather more involved and isn't so stand-alone). Surely hobby game makers don't all have to make their own octrees? (Python or C/C++ w/bindings preferred)

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  • iPhone 3d Model format: .h file, .obj, or some other?

    - by T Reddy
    I'm beginning to write an iPhone game using OpenGL-ES and I've come across a problem with deciding what format my 3D models should be in. I've read (link escapes me at the moment) that some developers prefer the models compiled in Objective-C .h files. Still, others prefer having .obj as these are more portable (i.e., for deployment on non-iPhone platforms). Various 3D game engines seem to support many(?) formats, but I'm not going to use any of these engines as I would like to actually learn OpenGL-ES. Am I putting myself at a disadvantage here by not using a packaged engine? Thanks!

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  • How to solve problems with movement in simple tile based multiplayer game?

    - by Murlo
    I'm making a simple tile based 2D multiplayer game in JavaScript using socket.io where you can move one tile every 200 ms. The two solutions I've tried are as follows: The client sends "walk one tile north" every 200 ms. Problem: People can easily hack the client to send the action more often. The client sends "walking north" and "stopped walking". Problem: Sometimes the player moves extra steps when "stopped walking" doesn't arrive in time. Do you know a way around these problems or is there a better way to do it? EDIT: Regarding the first solution I've tried adding validation on the server to check if it has been 200 ms since last movement. The problem is that latency still encourages people just to spam the action as much as possible, giving them an unfair advantage.

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  • Must all AI states be able to react to any event?

    - by Prog
    FSMs implemented with the State design pattern are a common way to design AI agents. I am familiar with the State design pattern and know how to implement it. How is this used in games to design AI agents? Consider a simplified class Monster, representing an AI agent: class Monster { State state; // other fields omitted public void update(){ // called every game-loop cycle state.execute(this); } public void setState(State state){ this.state = state; } // irrelevant stuff omitted } There are several State subclasses implementing execute() differently. So far, classic State pattern. AI agents are subject to environmental effects and other objects communicating with them. For example, an AI agent might tell another AI agent to attack (i.e. agent.attack()). Or a fireball might tell an AI agent to fall down. This means that the agent must have methods such as attack() and fallDown(), or commonly some message receiving mechanism to understand such messages. With an FSM, the current State of the agent should be the one taking care of such method calls - i.e. the agent delegates to the current state upon every event. Is this correct? If correct, how is this done? Are all states obligated by their superclass to implement methods such as attack(), fallDown() etc., so the agent can always delegate to them on almost every event? Or is it done in some other way?

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  • Am I missing something about these considerations about Leaderboard's database's schema?

    - by misiMe
    I just finished to develop a mobile game, now I want to implement an online leaerboard using mysql. I'm wondering about the database's schema, I thought about some possibilities: (I didn't got in detail with syntax because my question is just about the logic of it) Name: string; Score: integer I thought to ask the name just the first time. If, in the future, you will modify that, it will call just an update to the name associated with your id. Leaderboard(ID, Name, Score) ID: integer autoincrement, PrimaryKey With this kind of idea maybe the db will grow fast because if you choose everytime a different name for the score, it will add a new entry. Leaderboard(PhoneId, Name, Score) Here PhoneId will be the unique identifier of the phone, PrimaryKey. A con of this choice is that if you want to play with your friends' phone, you can't put a different name for the score. Leaderboard(Name, Score) Here Name is PrimaryKey. With that, if you enter a name that already exists, you will be prompted to choose another one. Do you agree with this considerations? What will you do? Am I missing something?

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  • (SOLVED) Problems Rendering Text in OpenGL Using FreeType

    - by Sean M.
    I've been following both the FreeType2 tutorial and the WikiBooks tuorial, trying to combine things from them both in order to load and render fonts using the FreeType library. I used the font loading code from the FreeType2 tutorial and tried to implement the rendering code from the wikibooks tutorial (tried being the keyword as I'm still trying to learn model OpenGL, I'm using 3.2). Everything loads correctly and I have the shader program to render the text with working, but I can't get the text to render. I'm 99% sure that it has something to do with how I cam passing data to the shader, or how I set up the screen. These are the code segments that handle OpenGL initialization, as well as Font initialization and rendering: //Init glfw if (!glfwInit()) { fprintf(stderr, "GLFW Initialization has failed!\n"); exit(EXIT_FAILURE); } printf("GLFW Initialized.\n"); //Process the command line arguments processCmdArgs(argc, argv); //Create the window glfwWindowHint(GLFW_SAMPLES, g_aaSamples); glfwWindowHint(GLFW_CONTEXT_VERSION_MAJOR, 3); glfwWindowHint(GLFW_CONTEXT_VERSION_MINOR, 2); g_mainWindow = glfwCreateWindow(g_screenWidth, g_screenHeight, "Voxel Shipyard", g_fullScreen ? glfwGetPrimaryMonitor() : nullptr, nullptr); if (!g_mainWindow) { fprintf(stderr, "Could not create GLFW window!\n"); closeOGL(); exit(EXIT_FAILURE); } glfwMakeContextCurrent(g_mainWindow); printf("Window and OpenGL rendering context created.\n"); glClearColor(0.2f, 0.2f, 0.2f, 1.0f); //Are these necessary for Modern OpenGL (3.0+)? glViewport(0, 0, g_screenWidth, g_screenHeight); glOrtho(0, g_screenWidth, g_screenHeight, 0, -1, 1); //Init glew int err = glewInit(); if (err != GLEW_OK) { fprintf(stderr, "GLEW initialization failed!\n"); fprintf(stderr, "%s\n", glewGetErrorString(err)); closeOGL(); exit(EXIT_FAILURE); } printf("GLEW initialized.\n"); Here is the font file (it's slightly too big to post): CFont.h/CFont.cpp Here is the solution zipped up: [solution] (https://dl.dropboxusercontent.com/u/36062916/VoxelShipyard.zip), if anyone feels they need the entire solution. If anyone could take a look at the code, it would be greatly appreciated. Also if someone has a tutorial that is a little more user friendly, that would also be appreciated. Thanks.

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  • Box2D platformer movement. Are joints a good idea?

    - by Romeo
    So i smashed my brains trying to make my character move. As i wanted later in the game to add explosions and bullets it wasn't a good idea to mess with the velocity and the forces/impulses didn't work as i expected so something stuck in my mind: Is it a good idea to put at his bottom a wheel(circle) which is invisible to the player that will do the movement by rotation? I will attach this to my main body with a revolute joint but i don't really know how to make the main body and wheel body to don't collide one with each other since funny things can happen. What is your oppinion?

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  • Using box2d DrawDebugData with multi layer scene ?

    - by Mr.Gando
    In my Game, a Scene is composed by several layers. Each layer has different camera transformations. This way I can have a layer at z=3 (GUI), z=2 (Monsters), z=1 (scrolling background), and this 3 layers compose my whole Scene. My render loop looks something like: renderLayer() applyTransformations() renderVisibleEntities() renderChildLayers() end If I call DrawDebugData() in the render loop, the whole b2world debug data will be rendered once for each layer in my scene, this generates a mess, because the "debug boxes" get duplicated, some of them get the camera transformations applied and some of them don't, etc. What I would like to do, would be to make DrawDebugData to draw only certain debug boxes. In that way, I could call something like b2world->DrawDebugDataForLayer(int layer_id) and call that on each layer like : renderLayer() applyTransformations() renderVisibleEntities() //Only render my corresponding layer debug data b2world->DrawDebugDataForLayer(layer_id) renderChildLayers() end Is there a way to subclass b2World so I could add this functionality ( specific to my game ) ? If not, what would be the best way to achieve this (Cocos2d uses a similar scene graph approach and box2d, but I'm not sure if debugDraw works in Cocos2d... ) Thanks

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  • Pathfinding with MicroPather : costs calculations with sectors and portals

    - by Adan
    Hello, I'm considering using micropather to help me with pathfinding. I'm not using a discrete map : I'm working in 2d with sectors and portales. However, I'm just wondering what is the best way to compute costs with this library in this context. Just to be more clear about geometrical shapes I'm using : sectors are basically convex polygons, and portals are segments that lies on sector's edge. Micropather exposes a pure virtual Graph class that you must inherate and overrides 3 functions. I understand how pathfinding works, so there's no problem in overriding those functions. Right now, my implementation give me results, i.e I'm able to find a path in my map, but I'm not sure I'm using an optimal solution. For the AdjacentCost method : I just take the distance between sector's centers as the cost. I think a better solution should be to use the portal between the two sectors, compute its center, and then the cost should be : distance( sector A center, portal center ) + distance ( sector B center, portal center ). I'm pretty sure the approximation I'm using with just sector's center is enough for most cases, but maybe with thin and long sectors that are perpendicular, this approximation could mislead the A* algorithm. For the LeastCostEstimate method : I just take the midpoint of the two sectors. So, as you understand, I'm always working with sectors' centers, and it's working fine. And I'm pretty sure there's a better way to work. Any suggestions or feedbacks? Thanks in advance!

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  • Comparison between a value with static type Array and a possibly unrelated type Class

    - by Kaoru
    I got this error: Comparison between a value with static type Array and a possibly unrelated type Class. After i modify the class to many classes (before that, everything is on 1 class (all of the functions)), but after i move everything to many classes (all the functions is not on 1 class), that error appear. How to solve this? I am using AS3 and as3isolib Library. Here is the code after i modify the function: if (Constant.dude.y < Constant._numY) { if (Constant.dude.sprites != marioBackClass) { Constant.dude.sprites = [marioBackClass]; Constant.dudeDir = "Up"; } } Here is the code before i change the function to many classes: if (dude.y < ._numY) { if (dude.sprites.toString() != marioBackClass.toString()) { dude.sprites = [marioBackClass]; dudeDir = "Up"; } }

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  • Frame Buffer Objects vs calling TexCoord2f?

    - by sensae
    I'm learning the basics of OpenGL with lwjgl currently, and following a guide I've got textured quads that can move around a scene. I've been reading about Frame Buffer Objects, and I'm not really clear on their purpose and their benefit. My understanding is that I'll create a FBO with the texture I'd like, load the FBO, draw a quad, then unload the FBO. What would the technique I'm currently doing for texture management be called, and how does it differ from using FBOs? What are the benefits to using FBOs? How does it fit into the grand rendering scheme of things?

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  • Combining pathfinding with global AI objectives

    - by V_Programmer
    I'm making a turn-based strategy game using Java and LibGDX. Now I want to code the AI. I haven't written the AI code yet. I've simply designed it. The AI will have two components, one focused in tactics and resource management (create troops, determine who have strategical advantage, detect important objectives, etc) and a individual component, focused in assign the work to each unit, examine its possibilites and move the unit. Now I'm facing an important problem. The map where the action take place is a grid-based map. Each terrain has different movement cost. I read about pathfinding and I think A* is a very good option to determine a good route between two points. However, imagine I have an unit with movement = 5 (i.e, it can move 5 tiles of movement cost = 1). My tactical AI has found an objective at a distance d = 20 tiles (Manhattan distance) from my unit. My problem is the following: the unit won't be able to reach the objective in one turn. So the AI will have to store a list of position and execute them in various turns. I don't know how to solve this. PS. In my unit code, I have a list called "selectionMarks" which stores all the possible places where the unit can go in this turn. This places are calculed recursively using a "getSelectionMarks" function. Any help is appreciated :D

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  • Bridge made out of blocks at an angle

    - by Pozzuh
    I'm having a bit of trouble with the math behind my project. I want the player to be able to select 2 points (vectors). With these 2 points a floor should be created. When these points are parallel to the x-axis it's easy, just calculate the amount of blocks needed by a simple division, loop through that amount (in x and y) and keep increasing the coordinate by the size of that block. The trouble starts when the 2 vectors aren't parallel to an axis, for example at an angle of 45 degrees. How do I handle the math behind this? If I wasn't completely clear, I made this awesome drawing in paint to demonstrate what I want to achieve. The 2 red dots would be the player selected locations. (The blocks indeed aren't square.) http://i.imgur.com/pzhFMEs.png.

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  • Fast determination of whether objects are onscreen in 2D

    - by Ben Ezard
    So currently, I have this in each object's renderer's update method: float a = transform.position.x * Main.scale; float b = transform.position.y * Main.scale; float c = Camera.main.transform.position.x * Main.scale; float d = Camera.main.transform.position.y * Main.scale; onscreen = a + width - c > 0 && a - c < GameView.width && b + height - d > 0 && b - d < GameView.height; transform.position is a 2D vector containing the game engine's definition of where the object is - this is then multiplied by Main.scale to translate that coordinate into actual screen space Similarly, Camera.main.transform.position is the in-engine representation of where the main camera is, and this is also multiplied by Main.scale The problem is, as my game is tile-based, thousands of these updates get called every frame, just to determine whether or not each object should be drawn - how can I improve this please?

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  • Keypress Left is called twice in Update when key is pressed only once

    - by Simran kaur
    I have a piece of code that is changing the position of player when left key is pressed. It is inside of Update() function. I know, Update is called multiple times, but since I have an ifstatement to check if left arrow is pressed, it should update only once. I have tested using print statement that once pressed, it gets called twice. Problem: Position updated twice when key is pressed only once. Below given is the structure of my code: void Update() { if (Input.GetKeyDown (KeyCode.LeftArrow)) { print ("PRESSEEEEEEEEEEEEEEEEEEDDDDDDDDDDDDDD"); } } I looked up on web and what was suggested id this: if (Event.current.type == EventType.KeyDown && Event.current.keyCode == KeyCode.LeftArrow) { print("pressed"); } But, It gives me an error that says: Object reference not set to instance of an object How can I fix this?

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  • How do I scroll in the physical world?

    - by Esteban Quintero
    I am using andengine to make a game where a sprite (player) is going up across the stage, this is my world. final Rectangle ground = new Rectangle(0, CAMERA_HEIGHT - 2, CAMERA_WIDTH, 2, vertexBufferObjectManager); final Rectangle roof = new Rectangle(0, 0, CAMERA_WIDTH, 2, vertexBufferObjectManager); final Rectangle left = new Rectangle(0, 0, 2, CAMERA_HEIGHT, vertexBufferObjectManager); final Rectangle right = new Rectangle(CAMERA_WIDTH - 2, 0, 2, CAMERA_HEIGHT, vertexBufferObjectManager); final FixtureDef wallFixtureDef = PhysicsFactory.createFixtureDef(0, 0.5f, 0.5f); PhysicsFactory.createBoxBody(this.mPhysicsWorld, ground, BodyType.StaticBody, wallFixtureDef); PhysicsFactory.createBoxBody(this.mPhysicsWorld, roof, BodyType.StaticBody, wallFixtureDef); PhysicsFactory.createBoxBody(this.mPhysicsWorld, left, BodyType.StaticBody, wallFixtureDef); PhysicsFactory.createBoxBody(this.mPhysicsWorld, right, BodyType.StaticBody, wallFixtureDef); /* Create two sprits and add it to the scene. */ this.mScene.setBackground(autoParallaxBackground); this.mScene.attachChild(ground); this.mScene.attachChild(roof); this.mScene.attachChild(left); this.mScene.attachChild(right); this.mScene.registerUpdateHandler(this.mPhysicsWorld); The problem is that if the sprite reaches up and hits the wall, as I scroll here?

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  • Looking for articles/books on: How do games make money? What models do they use?

    - by cable729
    I'm trying to research the ways in which games make money. I want to know more about the models they use (free/premium, trial/subscription, free-to-play with micro-transactions, etc.). In addition, I want information on which models work for which games, what models are best for which age groups, etc. I've tried my best to find information, and Google hasn't turned anything up at all. I think I'll stop by my University's library and see if there's anything there. This may seem like a broad question, but I'm looking for links and titles of books, not typed-out answers.

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  • How can I make a 32 bit render target with a 16 bit alpha channel in DirectX?

    - by J Junker
    I want to create a render target that is 32-bit, with 16 bits each for alpha and luminance. The closest surface formats I can find in the DirectX SDK are: D3DFMT_A8L8 // 16-bit using 8 bits each for alpha and luminance. D3DFMT_G16R16F // 32-bit float format using 16 bits for the red channel and 16 bits for the green channel. But I don't think either of these will work, since D3DFMT_A8L8 doesn't have the precision and D3DFMT_G16R16F doesn't have an alpha channel (I need a separate blend state for alpha). How can I create a render target that allows a separate blend state for luminance and alpha, with 16 bit precision on each channel, that doesn't exceed 32 bits per pixel?

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  • How are trajectories calculated and transmitted to other players in Multi-Player ?

    - by giulio
    I play alot of COD4. And can see tracers for gunfire, missles, care packages fall from helicopters etc. There is alot of activity. I am curious to know the algorithm (at a high level) that manages all this action when you have 20 people on a map shooting each other to death ? This question touches on the subject but doesn't ask for a more in-depth answer as to how you the developers go about calculating and transmitting movement and collision detection for projectiles, be it missles/bullets or any other object that is flying through the air in real-time.

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  • c# scripting execution with xna (actions take more than 1 frame)

    - by user658091
    I'm trying to figure out how to implement c# scripting into my game (XNA with C#). I will be using C# as the scripting language. My question is, how to call functions that take more than 1 frame to finish? For example: class UserScript : Script { public override void execute(Game game) { //script must wait for dialog to be closed game.openDialog("This is a dialog"); //script should'nt wait for this int goldToGive = 100; goldToGive += 100; game.addGold(goldToGive); // //script should wait for cinematic to end game.startCinematic("name_of_cinematic"); //doesn't wait game.addGold(100); } } I found that you can do that with yield, but I'm not sure if it's the correct way (It's from 2010, the article mentioned no longer exists). http://stackoverflow.com/questions/3540231/implementing-a-simple-xml-based-scripting-language-for-an-xna-game Is yield the answer? If so, can anyone point me any examples/tutorials/books? I haven't found any regarding my situation. If not, what approach should I take? or am I better off with multi-threading?

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  • How to shade a texture two different colors?

    - by Venesectrix
    To give an example of what I'm asking about, I'll use Saints Row 3 since I've been playing that lately. In that game you can customize your looks and your car's appearance a lot. Your coat can have a primary color and a trim color. Your car can have a primary color and a stripe color, etc. Is there just a single coat texture that is being shaded two different colors somehow or are they overlaying a transparent second texture for the trim/stripes that gets shaded differently? If it's just one texture I'd like to know how it's done. If it's two different textures it seems like it's a waste of space. The second texture would be the same size as the first one but mostly transparent if you just wanted to lay it on top of the first one. Or are they just carefully positioning a second, smaller texture so that it aligns properly with the first one?

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  • what knowledge would I need to make a good simulation games

    - by Skeith
    I have an idea for a game like theme park but don't know how simulation games are made. I am not some noob on his first game so I appreciated constructive answers instead of "its hard, don't do it". What I want is to know how simulation game mechanics are put together. I figure it would be heaver on the AI than normal games and not knowing much about AI would like to know some programming techniques I should look into for this style game. specific techniques please not just a book on ai. what sort of architecture would be used? I guess it would have some sort of probability engine with pre designed events that are triggered based on the AI state. Would it use a FSM or be purely event driven ? Any information on how a sims game functions would be cool.

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  • Stop animation playing automatically

    - by Starkers
    I've created an animation to animate a swinging mace. To do this I select the mace object in the scene pane, open the animation pane, and key it at a certain position at 0:00. I'm prompted to save this animation in my assets folder, which I do, as maceswing I then rotate the mace, move the slider through time and key it in a different position. I move the slider through time again, move the object to the original position and key it. There are now three things in my assets folder: maceswing appears to be my animation, but I have no idea what Mace Mace 1 and Mace 2 are. (I've been mucking around trying to get this working so it's possible Mace 1 and Mace 2 are just duplicates of Mace. I still want to know what they are though) When I play my game, the mace is constantly swinging, even though I didn't apply maceswing to it. I can't stop it. People say there's some kind of tick box to stop it constantly animating but I can't find it. My mace object only has an Animator component: Unticking this component doesn't stop the animation playing so I have no idea where the animation is coming from. Or what the Animator component actually does. I don't want this animation constantly playing. I only want it to play once when someone clicks a certain button: var Mace : Transform; if(Input.GetButtonDown('Fire1')){ Mace.animation.Play('maceswing'); }; Upon clicking the 'Fire1' button, I get this error: MissingComponentException: There is no 'Animation' attached to the "Mace" game object, but a script is trying to access it. You probably need to add a Animation to the game object "Mace". Or your script needs to check if the component is attached before using it. There is no 'Animation' attached to the "Mace" game object, and yet I can see it swinging away constantly. Infact I can't stop it! So what's causing the animation if the game object doesn't have an 'Animation' attached to it?

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  • Why do we use the Pythagorean theorem in game physics?

    - by Starkers
    I've recently learned that we use Pythagorean theorem a lot in our physics calculations and I'm afraid I don't really get the point. Here's an example from a book to make sure an object doesn't travel faster than a MAXIMUM_VELOCITY constant in the horizontal plane: MAXIMUM_VELOCITY = <any number>; SQUARED_MAXIMUM_VELOCITY = MAXIMUM_VELOCITY * MAXIMUM_VELOCITY; function animate(){ var squared_horizontal_velocity = (x_velocity * x_velocity) + (z_velocity * z_velocity); if( squared_horizontal_velocity <= SQUARED_MAXIMUM_VELOCITY ){ scalar = squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY; x_velocity = x_velocity / scalar; z_velocity = x_velocity / scalar; } } Let's try this with some numbers: An object is attempting to move 5 units in x and 5 units in z. It should only be able to move 5 units horizontally in total! MAXIMUM_VELOCITY = 5; SQUARED_MAXIMUM_VELOCITY = 5 * 5; SQUARED_MAXIMUM_VELOCITY = 25; function animate(){ var x_velocity = 5; var z_velocity = 5; var squared_horizontal_velocity = (x_velocity * x_velocity) + (z_velocity * z_velocity); var squared_horizontal_velocity = 5 * 5 + 5 * 5; var squared_horizontal_velocity = 25 + 25; var squared_horizontal_velocity = 50; // if( squared_horizontal_velocity <= SQUARED_MAXIMUM_VELOCITY ){ if( 50 <= 25 ){ scalar = squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY; scalar = 50 / 25; scalar = 2.0; x_velocity = x_velocity / scalar; x_velocity = 5 / 2.0; x_velocity = 2.5; z_velocity = z_velocity / scalar; z_velocity = 5 / 2.0; z_velocity = 2.5; // new_horizontal_velocity = x_velocity + z_velocity // new_horizontal_velocity = 2.5 + 2.5 // new_horizontal_velocity = 5 } } Now this works well, but we can do the same thing without Pythagoras: MAXIMUM_VELOCITY = 5; function animate(){ var x_velocity = 5; var z_velocity = 5; var horizontal_velocity = x_velocity + z_velocity; var horizontal_velocity = 5 + 5; var horizontal_velocity = 10; // if( horizontal_velocity >= MAXIMUM_VELOCITY ){ if( 10 >= 5 ){ scalar = horizontal_velocity / MAXIMUM_VELOCITY; scalar = 10 / 5; scalar = 2.0; x_velocity = x_velocity / scalar; x_velocity = 5 / 2.0; x_velocity = 2.5; z_velocity = z_velocity / scalar; z_velocity = 5 / 2.0; z_velocity = 2.5; // new_horizontal_velocity = x_velocity + z_velocity // new_horizontal_velocity = 2.5 + 2.5 // new_horizontal_velocity = 5 } } Benefits of doing it without Pythagoras: Less lines Within those lines, it's easier to read what's going on ...and it takes less time to compute, as there are less multiplications Seems to me like computers and humans get a better deal without Pythagorean theorem! However, I'm sure I'm wrong as I've seen Pythagoras' theorem in a number of reputable places, so I'd like someone to explain me the benefit of using Pythagorean theorem to a maths newbie. Does this have anything to do with unit vectors? To me a unit vector is when we normalize a vector and turn it into a fraction. We do this by dividing the vector by a larger constant. I'm not sure what constant it is. The total size of the graph? Anyway, because it's a fraction, I take it, a unit vector is basically a graph that can fit inside a 3D grid with the x-axis running from -1 to 1, z-axis running from -1 to 1, and the y-axis running from -1 to 1. That's literally everything I know about unit vectors... not much :P And I fail to see their usefulness. Also, we're not really creating a unit vector in the above examples. Should I be determining the scalar like this: // a mathematical work-around of my own invention. There may be a cleverer way to do this! I've also made up my own terms such as 'divisive_scalar' so don't bother googling var divisive_scalar = (squared_horizontal_velocity / SQUARED_MAXIMUM_VELOCITY); var divisive_scalar = ( 50 / 25 ); var divisive_scalar = 2; var multiplicative_scalar = (divisive_scalar / (2*divisive_scalar)); var multiplicative_scalar = (2 / (2*2)); var multiplicative_scalar = (2 / 4); var multiplicative_scalar = 0.5; x_velocity = x_velocity * multiplicative_scalar x_velocity = 5 * 0.5 x_velocity = 2.5 Again, I can't see why this is better, but it's more "unit-vector-y" because the multiplicative_scalar is a unit_vector? As you can see, I use words such as "unit-vector-y" so I'm really not a maths whiz! Also aware that unit vectors might have nothing to do with Pythagorean theorem so ignore all of this if I'm barking up the wrong tree. I'm a very visual person (3D modeller and concept artist by trade!) and I find diagrams and graphs really, really helpful so as many as humanely possible please!

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