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  • When mapping the surface of a sphere with tiles, how might you deal with polar distortion?

    - by clweeks
    It's easy to deal with the way locations interact on a clean Cartesian grid. It's just vanilla math. And you can kind of ignore the geometry of the sphere's surface for a bunch of it if you want to just truncate the poles or something. But I keep coming up with ideas for games where the polar space matters. Geo-coded ARGs and global roguelikes and stuff. I want square(ish?) locations -- reasonably representable by square tiles of the same size across the globe, anyway. This has to be a solved problem, right? What are the solutions? ETA: At the equator -- and assuming that your square locations are reasonably small, it's close enough to true that you can get away with having one square in the rows north and south of the most equatorial row. And you could probably get away with that by just hand-waving the difference up to like 45-degrees or so. But eventually, you need to have fewer squares in a pole-ward circumferential row. If I reduce the length of the row by one and offset the squares by 1/2 then they're just like hexes and it's relatively easy to do the coding to keep track of the connections. But as you get pole-ward, it gets more and more extreme. Projecting the surface of the world onto the surface of a cube is tempting. But I figured there must be more elegant solutions already in use. If I did the cube thing (not dissecting it further through geodesy) Are there any pros and cons related to placing the pole at the center of a face or at the vertex of three sides?

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  • MMORPG game balancing

    - by Gary Paluk
    I've seen a couple of examples of some game balancing techniques in books yet they are not comprehensive and not particularly aimed at MMORPGs but I'm looking for practical examples of game balancing techniques for MMORPGs. I am interested to know if anyone has documented the techniques used in popular games with proven success in this area. Ideally, any resource would cover most common types of stats and include layman mathematical models or techniques used to balance game mechanics found in advanced MMORPGs (I know it's a cliché, but WoW style) Any help would be great!

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  • Making a mobile app from a board game. Copyright infringement?

    - by Claudio Coelho
    Me and a friend got hooked on a board game and soon realized that we didn't need the board game to play, instead we could play it with pen and paper with extreme ease and satisfaction. The next step was to develop a simple android app to play it. We have been using this to play and it's fun, and we are interested in publishing it, but we are worried eventual copyright issues. The concept of the game - itself very simple, merely a type of trivia game, where each round has different rules - is the same, the name is different as is all the art. Does anybody know if we infringe copyrights if we were to publish it? Thanks

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  • How i can sign and/or group a specific set of vertices in a 3D file container like OBJ ? - in Blender

    - by user827992
    I would like to export a 3D model with each part having a name or a label if you will. For example i would like to export a model of an human body and name each part in specifics vertex groups like: left hand, right hand, right foot, head, ears, ... and you got the idea; so i can have a single 3D model that i can explode in various parts if needed. If there is a better technique about how to mark vertex groups in a 3D file please share your solution. As 3D editor i use Blender.

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  • Logic / Render phases with a single thread

    - by DevilWithin
    The question I have may generate different opinions from different developers, but I'd still like to have an answer on this. Its all about the updating and rendering steps of the game loop, and their use under multi and single threaded environments. Currently, there is one thread running, which takes care of sequentially executing events , logic and rendering. Sometimes, the logic part may wish to change the game state to something else, and in between do some loading of files. The result is that the game hangs completely while loading, and then proceeds to normal rendering of the new state. To go around this, i could make another thread, do the loading there while the main thread renders a smooth loading animation, and then proceed normally. The real question is about if i don't create another thread. I could refresh the screen from the logic thread, and provide some basic loading screen, which could be not so smoothly updated while the files load. In fact, this approach is not loved by a lot of developers, as it scrambles render code in the logic step, which may cause problems of different sorts.. Hope its clear!

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  • relationship between the model and the renderer

    - by acrilige
    I tried to build a simple graphics engine, and faced with this problems: i have a list of models that i need to draw, and object (renderer) that implements IRenderer interface with method DrawObject(Object* obj). Implementation of renderer depends on using graphics library (opengl/directx). 1st question: model should not know nothing about renderer implementation, but in this case where can i hold (cache) information that depends on renderer implementation? For example, if model have this definition: class Model { public: Model(); Vertex* GetVertices() const; private: Vertex* m_vertices; }; what is the best way to cache, for example, vertex buffer of this model for dx11? Hold it in renderer object? 2nd question: what is the best way for model to say renderer HOW it must be rendered (for example with texture, bump mapping, or may be just in one color). I thought it can be done with flags, like this: model-SetRenderOptions(RENDER_TEXTURE | RENDER_BUMPMAPPING | RENDER_LIGHTING); and in Renderer::DrawModel method check for each flag. But looks like it will become uncomfortable with the options count growth...

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  • How can I create animated card graphics like in Hearthstone?

    - by Appeltaart
    In the game Hearthstone, there are cards with animated images on them. A few examples: http://www.hearthhead.com/card=281/argent-commander http://www.hearthhead.com/card=469/blood-imp The animations seem to be composed of multiple effects: Particle systems. Fading sprites in and out/rotating them Simple scrolling textures A distortion effect, very evident in the cape and hair of example 1. Swirling smoke effects, the light in example 1 and the green/purple glow in example 2. The first three elements are trivial, what I'd like to know is how the last two could be done. Can this even be done realtime in a game, or are they pre-rendered animations?

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  • OpenGL error LNK2019

    - by Ghilliedrone
    I'm trying to compile a basic OpenGL program. I linked opengl32.lib and glu32.lib but I'm getting errors. The errors I get are: error LNK1120: 7 unresolved externals error LNK2019: unresolved external symbol _main referenced in function ___tmainCRTStartup error LNK2019: unresolved external symbol "public: float __thiscall GLWindow::getElapsedSeconds(void)" (?getElapsedSeconds@GLWindow@@QAEMXZ) referenced in function _WinMain@16 error LNK2019: unresolved external symbol "public: bool __thiscall GLWindow::isRunning(void)" (?isRunning@GLWindow@@QAE_NXZ) referenced in function _WinMain@16 error LNK2019: unresolved external symbol "public: void __thiscall GLWindow::attachExample(class Example *)" (?attachExample@GLWindow@@QAEXPAVExample@@@Z) referenced in function _WinMain@16 error LNK2019: unresolved external symbol "public: void __thiscall GLWindow::destroy(void)" (?destroy@GLWindow@@QAEXXZ) referenced in function _WinMain@16 error LNK2019: unresolved external symbol "public: __thiscall GLWindow::GLWindow(struct HINSTANCE__ *)" (??0GLWindow@@QAE@PAUHINSTANCE__@@@Z) referenced in function _WinMain@16 error LNK2019: unresolved external symbol "private: void __thiscall GLWindow::setupPixelFormat(void)" (?setupPixelFormat@GLWindow@@AAEXXZ) referenced in function "public: long __stdcall GLWindow::WndProc(struct HWND__ *,unsigned int,unsigned int,long)" (?WndProc@GLWindow@@QAGJPAUHWND__@@IIJ@Z)

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  • How do I manipulate the Url of my Silverlight testpage.aspx?

    - by Daniel
    I am making an XNA game using Silverlight over the web. My testpage.aspx is linked to from a previous page where the client selects certain elements. The testpage.aspx URL changes depending on what I have sent to it. Now in my mainpage.cs file I would like to call certain functions depending on what was passed, but I am unsure how to manipulate or even access the URL. Is there a specific class in the Silverlight library I can use? Thank you for your time.

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  • Algorithm to map an area [on hold]

    - by user37843
    I want to create a crawler that starts in a room and from that room to move North,East,West and South until there aren't any new rooms to visit. I don't want to have duplicates and the output format per line to be something like this: current room, neighbour 1, neighbour 2 ... and in the end to apply BFS algorithm to find the shortest path between 2 rooms. Can anyone offer me some suggestion what to use? Thanks

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  • Make objects slide across the screen in random positions

    - by user3475907
    I want to make an object appear randomly at the right hand side of the screen and then slide across the screen and disapear at the left hand side. I am working with libgdx. I have this bit of code but it makes items fall from the top down. Please help. public EntityManager(int amount, OrthoCamera camera) { player = new Player(new Vector2(15, 230), new Vector2(0, 0), this, camera); for (int i = 0; i < amount; i++) { float x = MathUtils.random(0, MainGame.HEIGHT - TextureManager.ENEMY.getHeight()); float y = MathUtils.random(MainGame.WIDTH, MainGame.WIDTH * 10); float speed = MathUtils.random(2, 10); addEntity(new Enemy(new Vector2(x, y), new Vector2(-0, -speed))); }

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  • What are the parameters of APEX destructible asset / actor, and what are the effect of them?

    - by Semih Kekül
    There are parameters of the NxDestructibleAsset such as: defaultBehaviorGroup.damageToRadius destructibleParameters.fractureImpulseScale p3BodyDescTemplate.density structureSettings.useStressSolver destructibleParameters.runtimeFracture.glass.firstSegmentSize, etc. However, i can not find any document explaining these parameters. Are there any documents/videos or codes (anything) which explains these parameters?

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  • Posting to facebook from unity3d on iOS and android

    - by Guye Incognito
    I've made a game in unity3d for iOS and android. We have our own server to manage high scores and stuff like that. We'd also like to have the possibility post high scores to facebook, and also do things like this.. If you and your friend are have both posted a score for our game to facebook and you post a better score then you can send them a notification. I'm reading around about this now, but I'm wondering whats the normal way people do this? Possible ways.. Use the unity facebook SDK Looks like it would work but there are different versions for iOS and android. Call the facebook graph API directly from our server. This would unify the iOS and android versions and also it makes sense as our server holds / deals with all the highscore info. I can just imagine difficulties with logging in / authentication

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  • Changing DisplayMode seems not to update Input&Graphic Dimension

    - by coding.mof
    I'm writing a small game using Slick and Nifty-GUI. At the program startup I set the DisplayMode using the following lines: AppGameContainer app = new ... app.setDisplayMode( 800, 600, false ); app.start(); I wrote a Nifty-ScreenController for my settings dialog in which the user can select the desired DisplayMode. When I try to set the new DisplayMode within this controller class the game window gets resized correctly but the Graphics and Input objects aren't updated accordingly. Therefore my rendering code just uses a part of the new window. I tried to set different DisplayModes in the main method to test if it's generally possible to invoke this method multiple times. It seems that changing the DisplayMode only works before I call app.start(). Furthermore I tried to update the Graphics & Input object manually but the init and setDimensions methods are package private. :( Does someone know what I'm doing wrong and how to change the DisplayMode correctly?

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  • Linear search vs Octree (Frustum cull)

    - by Dave
    I am wondering whether I should look into implementing an octree of some kind. I have a very simple game which consists of a 3d plane for the floor. There are multiple objects scattered around on the ground, each one has an aabb in world space. Currently I just do a loop through the list of all these objects and check if its bounding box intersects with the frustum, it works great but I am wondering if if it would be a good investment in an octree. I only have max 512 of these objects on the map and they all contain bounding boxes. I am not sure if an octree would make it faster since I have so little objects in the scene.

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  • Per-pixel collision detection - why does XNA transform matrix return NaN when adding scaling?

    - by JasperS
    I looked at the TransformCollision sample on MSDN and added the Matrix.CreateTranslation part to a property in my collision detection code but I wanted to add scaling. The code works fine when I leave scaling commented out but when I add it and then do a Matrix.Invert() on the created translation matrix the result is NaN ({NaN,NaN,NaN},{NaN,NaN,NaN},...) Can anyone tell me why this is happening please? Here's the code from the sample: // Build the block's transform Matrix blockTransform = Matrix.CreateTranslation(new Vector3(-blockOrigin, 0.0f)) * // Matrix.CreateScale(block.Scale) * would go here Matrix.CreateRotationZ(blocks[i].Rotation) * Matrix.CreateTranslation(new Vector3(blocks[i].Position, 0.0f)); public static bool IntersectPixels( Matrix transformA, int widthA, int heightA, Color[] dataA, Matrix transformB, int widthB, int heightB, Color[] dataB) { // Calculate a matrix which transforms from A's local space into // world space and then into B's local space Matrix transformAToB = transformA * Matrix.Invert(transformB); // When a point moves in A's local space, it moves in B's local space with a // fixed direction and distance proportional to the movement in A. // This algorithm steps through A one pixel at a time along A's X and Y axes // Calculate the analogous steps in B: Vector2 stepX = Vector2.TransformNormal(Vector2.UnitX, transformAToB); Vector2 stepY = Vector2.TransformNormal(Vector2.UnitY, transformAToB); // Calculate the top left corner of A in B's local space // This variable will be reused to keep track of the start of each row Vector2 yPosInB = Vector2.Transform(Vector2.Zero, transformAToB); // For each row of pixels in A for (int yA = 0; yA < heightA; yA++) { // Start at the beginning of the row Vector2 posInB = yPosInB; // For each pixel in this row for (int xA = 0; xA < widthA; xA++) { // Round to the nearest pixel int xB = (int)Math.Round(posInB.X); int yB = (int)Math.Round(posInB.Y); // If the pixel lies within the bounds of B if (0 <= xB && xB < widthB && 0 <= yB && yB < heightB) { // Get the colors of the overlapping pixels Color colorA = dataA[xA + yA * widthA]; Color colorB = dataB[xB + yB * widthB]; // If both pixels are not completely transparent, if (colorA.A != 0 && colorB.A != 0) { // then an intersection has been found return true; } } // Move to the next pixel in the row posInB += stepX; } // Move to the next row yPosInB += stepY; } // No intersection found return false; }

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  • Designing a "Grid" like object that contains game objects

    - by liortal
    I am working on a 2D game, where there's a game "board" on which other game objects are placed. This this is 2D, my starting point was to design a class that will internally use a 2d array for the actual stored game objects. This class could be simply accessed by 2 indices: (i, j) to get game objects on it. My problem is that i have no idea how to make the game "board" "propagate" its data onto its children. Design questions i ran into are: Should the children placed on the board have display properties such as size, screen position? Should the board itself dictate this information? How to update children in case the board changes some of its properties? (position, etc). Should the board be aware of the types of objects stored in it ? I have no idea how similar things such as WPF or other UI frameworks go about organizing a "container like" object that can arrange or apply certain UI properties to its children.

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  • Multiplayer online game engine/pipeline

    - by Slav
    I am implementing online multiplayer game where client must be written in AS3 (Flash) to embed game into browser and server in C++ (abstract part of which is already written and used with other games). Networking models may differ from each other, but currently I'm looking toward game's logic run on both client and server parts but they're written on different languages while it's not the main problem. My previous game (pretty big one - was implemented with efforts of ~5 programmers in 1.5 years) was mainly "written" within electronic tables as structured objects with implemented inheritance: was written standalone tool which generated AS3 and C++ (languages of platforms to which the game was published) using specified electronic tables file (.xls or .ods). That file contained ~50 tables with ~50 rows and ~50 columns each and was mainly written by game designers which do not know any programming languages. But that game was single-player. Having declared problem with my currently implementing MMO, I'm looking toward some vast pipeline, where will be resolved such problems like: game objects descriptions (which starships exist within game, how much HP they have, how fast move, what damage deal...) actions descriptions (what players or NPCs can do: attack each other, collect resources, build structures, move, teleport, cast spells) - actions are transmitted through server between clients influences (what happens when specified action applied on specified object, e.i "Ship A attacked Ship B: field "HP" of Ship B reduced by amount of field "damage" of Ship A" Influences can be much more difficult, yes, e.i. "damage is twice it's size when Ship has =5 allies around him in a 200 units range during night" and so on. If to be able to write such logic within some "design document" it will be easily possible to: let designers to do their job without programmer's intervention or any bug-prone programming validate described logic transfer (transform, convert) to any programming language where it will be executed Did somebody worked on something like that? Is there some tools/engines/pipelines which concernes with it? How to handle all of this problems simultaneously in a best way or do I properly imagine my tasks and problems to myself?

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  • How to make an Actor follow my finger

    - by user48352
    I'm back with another question that may be really simple. I've a texture drawn on my spritebatch and I'm making it move up or down (y-axis only) with Libgdx's Input Handler: touchDown and touchUp. @Override public boolean touchDown(int screenX, int screenY, int pointer, int button) { myWhale.touchDownY = screenY; myWhale.isTouched = true; return true; } @Override public boolean touchUp(int screenX, int screenY, int pointer, int button) { myWhale.isTouched = false; return false; } myWhale is an object from Whale Class where I move my texture position: public void update(float delta) { this.delta = delta; if(isTouched){ dragWhale(); } } public void dragWhale() { if(Gdx.input.getY(0) - touchDownY < 0){ if(Gdx.input.getY(0)<position.y+height/2){ position.y = position.y - velocidad*delta; } } else{ if(Gdx.input.getY(0)>position.y+height/2){ position.y = position.y + velocidad*delta; } } } So the object moves to the center of the position where the person is pressing his/her finger and most of the time it works fine but the object seems to take about half a second to move up or down and sometimes when I press my finger it wont move. Maybe there's another simplier way to do this. I'd highly appreciate if someone points me on the right direction.

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  • GLSL Normals not transforming propertly

    - by instancedName
    I've been stuck on this problem for two days. I've read many articles about transforming normals, but I'm just totaly stuck. I understand choping off W component for "turning off" translation, and doing inverse/traspose transformation for non-uniform scaling problem, but my bug seems to be from a different source. So, I've imported a simple ball into OpenGL. Only transformation that I'm applying is rotation over time. But when my ball rotates, the illuminated part of the ball moves around just as it would if direction light direction was changing. I just can't figure out what is the problem. Can anyone help me with this? Here's the GLSL code: Vertex Shader: #version 440 core uniform mat4 World, View, Projection; layout(location = 0) in vec3 VertexPosition; layout(location = 1) in vec3 VertexColor; layout(location = 2) in vec3 VertexNormal; out vec4 Color; out vec3 Normal; void main() { Color = vec4(VertexColor, 1.0); vec4 n = World * vec4(VertexNormal, 0.0f); Normal = n.xyz; gl_Position = Projection * View * World * vec4(VertexPosition, 1.0); } Fragment Shader: #version 440 core uniform vec3 LightDirection = vec3(0.0, 0.0, -1.0); uniform vec3 LightColor = vec3(1f); in vec4 Color; in vec3 Normal; out vec4 FragColor; void main() { diffuse = max(0.0, dot(normalize(-LightDirection), normalize(Normal))); vec4 scatteredLight = vec4(LightColor * diffuse, 1.0f); FragColor = min(Color * scatteredLight, vec4(1.0)); }

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  • Sending state diffs (deltas) and unreliable connections

    - by spaceOwl
    We're building a realtime multiplayer game, in which each player is responsible for reporting its state on every iteration of the game loop. The state updates are broadcasted using unreliable UDP. To minimize state data sending, we've come up with a system that will send only deltas (whatever state data that was changed). This method however is flawed, since a lost packet will mean that other players will not receive the delta, making the game behave in an unexpected way. For example: Assume that state is comprised of: { positionX, positionY, health } Frame 1 - positionX changed --> send a packet with positionX only. Frame 2 - health changed // lost ! Frame 3 - positionY changed --> send a packet with positionY only. // Other players don't know about health change. How can one overcome this issue then? sending the entire data is not always feasible.

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  • 2D Particle Explosion

    - by TheBroodian
    I'm developing a 2D action game, and in said game I've given my primary character an ability he can use to throw a fireball. I'm trying to design an effect so that when said fireball collides (be it with terrain or with an enemy) that the fireball will explode. For the explosion effect I've created a particle that once placed into game space will follow random, yet autonomic behavior based on random variables. Here is my question: When I generate my explosion (essentially 90 of these particles) I get one of two behaviors, 1) They are all generated with the same random variables, and don't resemble an explosion at all, more like a large mass of clumped sprites that all follow the same randomly generated path. 2) If I assign each particle a unique seed to its random number generator, they are a little bit -more- spread out, yet clumping is still visible (they seem to fork out into 3 different directions) Does anybody have any tips for producing particle-based 2D explosions? I'll include the code for my particle and the event I'm generating them in. Fire particle class: public FireParticle(xTile.Dimensions.Location StartLocation, ContentManager content) { worldLocation = StartLocation; fireParticleAnimation = new FireParticleAnimation(content); random = new Random(); int rightorleft = random.Next(0, 3); int upordown = random.Next(1, 3); int xVelocity = random.Next(0, 101); int yVelocity = random.Next(0, 101); Vector2 tempVector2 = new Vector2(0,0); if (rightorleft == 1) { tempVector2 = new Vector2(xVelocity, tempVector2.Y); } else if (rightorleft == 2) { tempVector2 = new Vector2(-xVelocity, tempVector2.Y); } if (upordown == 1) { tempVector2 = new Vector2(tempVector2.X, -yVelocity); } else if (upordown == 2) { tempVector2 = new Vector2(tempVector2.X, yVelocity); } velocity = tempVector2; scale = random.Next(1, 11); upwardForce = -10; dead = false; } public FireParticle(xTile.Dimensions.Location StartLocation, ContentManager content, int seed) { worldLocation = StartLocation; fireParticleAnimation = new FireParticleAnimation(content); random = new Random(seed); int rightorleft = random.Next(0, 3); int upordown = random.Next(1, 3); int xVelocity = random.Next(0, 101); int yVelocity = random.Next(0, 101); Vector2 tempVector2 = new Vector2(0, 0); if (rightorleft == 1) { tempVector2 = new Vector2(xVelocity, tempVector2.Y); } else if (rightorleft == 2) { tempVector2 = new Vector2(-xVelocity, tempVector2.Y); } if (upordown == 1) { tempVector2 = new Vector2(tempVector2.X, -yVelocity); } else if (upordown == 2) { tempVector2 = new Vector2(tempVector2.X, yVelocity); } velocity = tempVector2; scale = random.Next(1, 11); upwardForce = -10; dead = false; } #endregion #region Update and Draw public void Update(GameTime gameTime) { elapsed = (float)gameTime.ElapsedGameTime.TotalSeconds; fireParticleAnimation.Update(gameTime); Vector2 moveAmount = velocity * elapsed; xTile.Dimensions.Location newPosition = new xTile.Dimensions.Location(worldLocation.X + (int)moveAmount.X, worldLocation.Y + (int)moveAmount.Y); worldLocation = newPosition; velocity.Y += upwardForce; if (fireParticleAnimation.finishedPlaying) { dead = true; } } public void Draw(SpriteBatch spriteBatch) { spriteBatch.Draw( fireParticleAnimation.image.Image, new Rectangle((int)drawLocation.X, (int)drawLocation.Y, scale, scale), fireParticleAnimation.image.SizeAndsource, Color.White * fireParticleAnimation.image.Alpha); } Fireball explosion event: public override void Update(GameTime gameTime) { if (enabled) { float elapsed = (float)gameTime.ElapsedGameTime.TotalSeconds; foreach (Heart_of_Fire.World_Objects.Particles.FireParticle particle in explosionParticles.ToList()) { particle.Update(gameTime); if (particle.Dead) { explosionParticles.Remove(particle); } } collisionRectangle = new Microsoft.Xna.Framework.Rectangle((int)wrldPstn.X, (int)wrldPstn.Y, 5, 5); explosionCheck = exploded; if (!exploded) { coreGraphic.Update(gameTime); tailGraphic.Update(gameTime); Vector2 moveAmount = velocity * elapsed; moveAmount = horizontalCollision(moveAmount, layer); moveAmount = verticalCollision(moveAmount, layer); Vector2 newPosition = new Vector2(wrldPstn.X + moveAmount.X, wrldPstn.Y + moveAmount.Y); if (hasCollidedHorizontally || hasCollidedVertically) { exploded = true; } wrldPstn = newPosition; worldLocation = new xTile.Dimensions.Location((int)wrldPstn.X, (int)wrldPstn.Y); } if (explosionCheck != exploded) { for (int i = 0; i < 90; i++) { explosionParticles.Add(new World_Objects.Particles.FireParticle( new Location( collisionRectangle.X + random.Next(0, 6), collisionRectangle.Y + random.Next(0, 6)), contentMgr)); } } if (exploded && explosionParticles.Count() == 0) { //enabled = false; } } }

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  • Build a view frustum from angles

    - by MulletDevil
    I have 4 angles, left, right, top & bottom. These angles are in degrees. They define the angle between the forward vector and the corresponding side. I am trying to use these to calculate the required values for Perseective Off Centre function found here http://docs.unity3d.com/Documentation/ScriptReference/Camera-projectionMatrix.html I tried doing (near plane-far plane) * Tan(angle) But that didn't give the correct results.

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  • How was collision detection handled in The Legend of Zelda: A Link to the Past?

    - by Restart
    I would like to know how the collision detection was done in The Legend of Zelda: A Link To The Past. The game is 16x16 tile based, so how did they do the tiles where only a quarter or half of the tile is occupied? Did they use a smaller grid for collision detection like 8x8 tiles, so four of them make one 16x16 tile of the texture grid? But then, they also have true half tiles which are diagonally cut and the corners of the tiles seem to be round or something. If Link walks into tiles corner he can keep on walking and automatically moves around it's corner. How is that done? I hope someone can help me out here.

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