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• 3D terrain map with Hexagon Grids (XNA)

  - by Rob

  I'm working on a hobby project (I'm a web/backend developer by day) and I want to create a 3D Tile (terrain) engine. I'm using XNA, but I can use MonoGame, OpenGL, or straight DirectX, so the answer does not have to be XNA specific. I'm more looking for some high level advice on how to approach this problem. I know about creating height maps and such, there are thousands of references out there on the net for that, this is a bit more specific. I'm more concerned with is the approach to get a 3D hexagon tile grid out of my terrain (since the terrain, and all 3d objects, are basically triangles). The first approach I thought about is to basically draw the triangles on the screen in the following order (blue numbers) to give me the triangles for terrain (black triangles) and then make hexes out of the triangles (red hex). http://screencast.com/t/ebrH2g5V This approach seems complicated to me since i'm basically having to draw 4 different types of triangles. The next approach I thought of was to use the existing triangles like I did for a square grid and get my hexes from 6 triangles as follows http://screencast.com/t/w9b7qKzVJtb8 This seems like the easier approach to me since there are only 2 types of triangles (i would have to play with the heights and widths to get a "perfect" hexagon, but the idea is the same. So I'm looking for: 1) Any suggestions on which approach I should take, and why. 2) How would I translate mouse position to a hexagon grid position (especially when moving the camera around), for example in the second image if the mouse pointer were the green circle, how would I determine to highlight that hexagon and then translating that into grid coordinates (assuming it is 0,0)? 3) Any references, articles, books, etc - to get me going in the right direction. Note: I've done hex grid's and mouse-grid coordinate conversion before in 2d. looking for some pointers on how to do the same in 3d. The result I would like to achieve is something similar to the following: http :// www. youtube .com / watch?v=Ri92YkyC3fw (sorry about the youtube link, but it will only let me post 2 links in this post... same rep problem i mention below...) Thanks for any help! P.S. Sorry for not posting the images inline, I apparently don't have enough rep on this stack exchange site.

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• How can I Implement KeyListeners/ActionListeners into the JFrame?

  - by A.K.

  I'll get to the point: I have a player in my game that you control with the keyboard yet the key methods in the player class and ActionListener w/ KeyAdapter in the Board class don't seem to fire. So far I've tried adding these key methods into the JFrame, doesn't seem to let me move him even though other objects that I have (enemies) can move fine. Here's part of the JFrame class with the event listeners: frm.addKeyListener(KeyBoardListener); public void mouseClicked(MouseEvent e) { nSound.play(); StartB.setContentAreaFilled(false); cards.remove(StartB); frm.remove(TitleL); frm.remove(cards); frm.setLayout(new GridLayout(1, 1)); frm.add(nBoard); //Add Game "Tiles" Or Content. x = 1200 nBoard.setPreferredSize(new Dimension(1200, 420)); cards.revalidate(); frm.validate(); } public KeyListener KeyBoardListener = new KeyListener() { @Override public void keyPressed(KeyEvent args0) { int key = args0.getKeyCode(); if(key == KeyEvent.VK_LEFT) { nBoard.S.vx = -4; } if(key == KeyEvent.VK_RIGHT) { nBoard.S.vx = 4; } if(key == KeyEvent.VK_UP) { nBoard.S.vy = -4; } if(key == KeyEvent.VK_DOWN) { nBoard.S.vy = 4; } if(key == KeyEvent.VK_SPACE) { nBoard.S.fire(); } } @Override public void keyReleased(KeyEvent args0) { int key = args0.getKeyCode(); if(key == KeyEvent.VK_LEFT) { nBoard.S.vx = 0; } if(key == KeyEvent.VK_RIGHT) { nBoard.S.vx = 0; } if(key == KeyEvent.VK_UP) { nBoard.S.vy = 0; } if(key == KeyEvent.VK_DOWN) { nBoard.S.vy = 0; } } @Override public void keyTyped(KeyEvent args0) { // TODO Auto-generated method stub } };

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• Mapping dynamic buffers in Direct3D11 in Windows Store apps

  - by Donnie

  I'm trying to make instanced geometry in Direct3D11, and the ID3D11DeviceContext1->Map() call is failing with the very helpful error of "Invalid Parameter" when I'm attempting to update the instance buffer. The buffer is declared as a member variable: Microsoft::WRL::ComPtr<ID3D11Buffer> m_instanceBuffer; Then I create it (which succeeds): D3D11_BUFFER_DESC instanceDesc; ZeroMemory(&instanceDesc, sizeof(D3D11_BUFFER_DESC)); instanceDesc.Usage = D3D11_USAGE_DYNAMIC; instanceDesc.ByteWidth = sizeof(InstanceData) * MAX_INSTANCE_COUNT; instanceDesc.BindFlags = D3D11_BIND_VERTEX_BUFFER; instanceDesc.CPUAccessFlags = D3D11_CPU_ACCESS_WRITE; instanceDesc.MiscFlags = 0; instanceDesc.StructureByteStride = 0; DX::ThrowIfFailed(d3dDevice->CreateBuffer(&instanceDesc, NULL, &m_instanceBuffer)); However, when I try to map it: D3D11_MAPPED_SUBRESOURCE inst; DX::ThrowIfFailed(d3dContext->Map(m_instanceBuffer.Get(), 0, D3D11_MAP_WRITE, 0, &inst)); The map call fails with E_INVALIDARG. Nothing is NULL incorrectly, and this being one of my first D3D apps I'm currently stumped on what to do next to track it down. I'm thinking I must be creating the buffer incorrectly, but I can't see how. Any input would be appreciated.

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• Vertex fog producing black artifacts

  - by Nick

  I originally posted this question on the XNA forums but got no replies, so maybe someone here can help: I am rendering a textured model using the XNA BasicEffect. When I enable fog, the model outline is still visible as many small black dots when it should be "in the fog". Why is this happening? Here's what it looks like for me -- http://tinypic.com/r/fnh440/6 Here is a minimal example showing my problem: (the ship model that this example uses is from the chase camera sample on this site -- http://xbox.create.msdn.com/en-US/education/catalog/sample/chasecamera -- in case anyone wants to try it out ;)) public class Game1 : Microsoft.Xna.Framework.Game { GraphicsDeviceManager graphics; SpriteBatch spriteBatch; Model model; public Game1() { graphics = new GraphicsDeviceManager(this); Content.RootDirectory = "Content"; } protected override void LoadContent() { // Create a new SpriteBatch, which can be used to draw textures. spriteBatch = new SpriteBatch(GraphicsDevice); // TODO: use this.Content to load your game content here model = Content.Load<Model>("ship"); foreach (ModelMesh mesh in model.Meshes) { foreach (BasicEffect be in mesh.Effects) { be.EnableDefaultLighting(); be.FogEnabled = true; be.FogColor = Color.CornflowerBlue.ToVector3(); be.FogStart = 10; be.FogEnd = 30; } } } protected override void Draw(GameTime gameTime) { GraphicsDevice.Clear(Color.CornflowerBlue); // TODO: Add your drawing code here model.Draw(Matrix.Identity * Matrix.CreateScale(0.01f) * Matrix.CreateRotationY(3 * MathHelper.PiOver4), Matrix.CreateLookAt(new Vector3(0, 0, 30), Vector3.Zero, Vector3.Up), Matrix.CreatePerspectiveFieldOfView(MathHelper.PiOver4, 16f/9f, 1, 100)); base.Draw(gameTime); } }

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• 2D Tile Map for Platformer, XML or SQLite?

  - by Stephen Tierney

  I'm developing a 2D platformer with some uni friends. We've based it upon the XNA Platformer Starter Kit which uses .txt files to store the tile map. While this is simple it does not give us enough control and flexibility with level design. I'm doing some research into whether to store level data in an XML file or in a database like SQLite. Which would be the best for this situation? Do either have any drawbacks (performance etc) compared to the other?

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• What does SetTextureStage(0, D3DTSS_COLORARG2, 0) in DirectX mean?

  - by Vite Falcon

  I'm trying to convert some DirectX code to Ogre3D and was wondering what the following translates to: pDev->SetTextureStage(0, D3DTSS_TEXCOORDINDEX, 0) pDev->SetTextureStage(0, D3DTSS_COLORARG1, D3DTA_TEXTURE) pDev->SetTextureStage(0, D3DTSS_COLOROP, D3DTOP_MODULATE) pDev->SetTextureStage(0, D3DTSS_COLORARG2, 0) What is the modulation operation happening here? Is the texture getting modulated with the background? Or is it getting zeroed? I've tried searching for what this means and unfortunately I haven't come across anything meaningful. Any help to shed light on this matter will be much appreciated.

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• OpenGL fovx question

  - by Nick

  To boil my question down to the simplest form, I fear I am oversimplifying how mat4 perspective works. I am using mat4.perspective(45, 2, 0.1, 1000.0) (the binding is WebGL fwiw). With a fovy of 45, and an aspect ratio of 2, I expect to have a fovx of 90. Thus, if I position my camera at (0, 0, 50), looking towards the origin, I expect to see a cube positioned at (50, 0, 0) (45 degrees) right at the very periphery of my screen, half on, half off,. Instead, a cube at (50, 0, 0) is totally off screen, and my actually periphery occurs at about (41.1, 0, 0). What am I missing here? Thanks, nick

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• Manipulating Perlin Noise

  - by Numeri

  I've been learning about Procedurally Generated Content lately (in particular, Perlin noise). Perlin noise works great for making things like landscapes, height maps, and stuff like that. But now I am trying to generate structures more like mountain ranges (in 2D, as 3D would be way over my head right now) or underground veins of ores. I can't manage to manipulate Perlin Noise to do this. Making a cut off point (i.e. using only the tops of the 'mountains' of a heightmap) wouldn't work, because I would get lumps of mountains/veins. Any suggestions? Thanks, Numeri

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• Unreal 3 Editor (Unreal Tournament 3) Why does the X Y Z translations now rotate along with my static meshes?

  - by Gareth Jones

  So I was making a map for UT3, using the Unreal 3 Editor provided, and all was going well. However I was doing some work with InterpActors and Vehicle Spawners, when I must have hit a key by mistake (or other wise somehow changed something) by mistake. Now the X Y Z translations that are used to move objects around in the editor will rotate along with the object (Ive put images down below to help show what I mean) - This is very annoying because it also changes the direction the arrow keys move a rotated object, in the example below, the Down arrow key will now move the object to the right. How can I fix this? (Note both images are taken from the same viewpoint) Before Rotation: After Rotation: P.S. If someone could please provide me with the correct / better name for the X Y Z "things" it would be much appreciated, thanks!

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• Split vector vs matrix notation for transformation

  - by seahorse

  Some rendering engines like Ogre prefer to use a individual vector based notation for transformations like the following Split vector notation: Net Transformation is represented by Scale vector = sx, sy, sz Transformation vector = tx, ty, tz Rotation Quaternion Vector = w,x,y,z Matrix notation: There are other engines which simply use a net combined transformation matrix. What are the advantages of the first notation over the second? Also for animation interpolation does it work in the first notation that we interpolate across the individual components and use the interpolated parts to get the net transformation? Is this another advantage?

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• Not getting desired results with SSAO implementation

  - by user1294203

  After having implemented deferred rendering, I tried my luck with a SSAO implementation using this Tutorial. Unfortunately, I'm not getting anything that looks like SSAO, you can see my result below. You can see there is some weird pattern forming and there is no occlusion shading where there needs to be (i.e. in between the objects and on the ground). The shaders I implemented follow: #VS #version 330 core uniform mat4 invProjMatrix; layout(location = 0) in vec3 in_Position; layout(location = 2) in vec2 in_TexCoord; noperspective out vec2 pass_TexCoord; smooth out vec3 viewRay; void main(void){ pass_TexCoord = in_TexCoord; viewRay = (invProjMatrix * vec4(in_Position, 1.0)).xyz; gl_Position = vec4(in_Position, 1.0); } #FS #version 330 core uniform sampler2D DepthMap; uniform sampler2D NormalMap; uniform sampler2D noise; uniform vec2 projAB; uniform ivec3 noiseScale_kernelSize; uniform vec3 kernel[16]; uniform float RADIUS; uniform mat4 projectionMatrix; noperspective in vec2 pass_TexCoord; smooth in vec3 viewRay; layout(location = 0) out float out_AO; vec3 CalcPosition(void){ float depth = texture(DepthMap, pass_TexCoord).r; float linearDepth = projAB.y / (depth - projAB.x); vec3 ray = normalize(viewRay); ray = ray / ray.z; return linearDepth * ray; } mat3 CalcRMatrix(vec3 normal, vec2 texcoord){ ivec2 noiseScale = noiseScale_kernelSize.xy; vec3 rvec = texture(noise, texcoord * noiseScale).xyz; vec3 tangent = normalize(rvec - normal * dot(rvec, normal)); vec3 bitangent = cross(normal, tangent); return mat3(tangent, bitangent, normal); } void main(void){ vec2 TexCoord = pass_TexCoord; vec3 Position = CalcPosition(); vec3 Normal = normalize(texture(NormalMap, TexCoord).xyz); mat3 RotationMatrix = CalcRMatrix(Normal, TexCoord); int kernelSize = noiseScale_kernelSize.z; float occlusion = 0.0; for(int i = 0; i < kernelSize; i++){ // Get sample position vec3 sample = RotationMatrix * kernel[i]; sample = sample * RADIUS + Position; // Project and bias sample position to get its texture coordinates vec4 offset = projectionMatrix * vec4(sample, 1.0); offset.xy /= offset.w; offset.xy = offset.xy * 0.5 + 0.5; // Get sample depth float sample_depth = texture(DepthMap, offset.xy).r; float linearDepth = projAB.y / (sample_depth - projAB.x); if(abs(Position.z - linearDepth ) < RADIUS){ occlusion += (linearDepth <= sample.z) ? 1.0 : 0.0; } } out_AO = 1.0 - (occlusion / kernelSize); } I draw a full screen quad and pass Depth and Normal textures. Normals are in RGBA16F with the alpha channel reserved for the AO factor in the blur pass. I store depth in a non linear Depth buffer (32F) and recover the linear depth using: float linearDepth = projAB.y / (depth - projAB.x); where projAB.y is calculated as: and projAB.x as: These are derived from the glm::perspective(gluperspective) matrix. z_n and z_f are the near and far clip distance. As described in the link I posted on the top, the method creates samples in a hemisphere with higher distribution close to the center. It then uses random vectors from a texture to rotate the hemisphere randomly around the Z direction and finally orients it along the normal at the given pixel. Since the result is noisy, a blur pass follows the SSAO pass. Anyway, my position reconstruction doesn't seem to be wrong since I also tried doing the same but with the position passed from a texture instead of being reconstructed. I also tried playing with the Radius, noise texture size and number of samples and with different kinds of texture formats, with no luck. For some reason when changing the Radius, nothing changes. Does anyone have any suggestions? What could be going wrong?

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• How is this lighting effect done?

  - by Mike

  This is the most beautiful 2d lighting I have ever seen. Does anyone know how he went about doing it? http://www.youtube.com/watch?v=BIQRhOFkvQY http://www.youtube.com/watch?v=tnTYXPuecMs http://www.youtube.com/watch?v=rhC_jVM8IYU http://www.youtube.com/watch?v=_Aw5BdjWqqU Or download it here: http://grantkot.com/PollutedPlanet/publish.htm edit: I am not asking how the particles are simulated; I don't care about the physics.

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• Level and Player objects - which should contain which?

  - by Thane Brimhall

  I've been working on a several simple games, and I've always come to a decision point where I have to choose whether to have the Level object as an attribute of the Player class or the Player as an attribute of the Level class. I can see arguments for both: The Level should contain the player because it also contains every other entity. In fact it just makes sense this way: "John is in the room." It makes it a bit more difficult to move the player to a new level, however, because then each level has to pass its player object to an upcoming level. On the other hand, it makes programming sense to me to leave the player as the top-level object that is persistent between levels, and the environment changes because the player decides to change his level and location. It becomes very easy to change levels, because all I have to do is replace the level variable on the player. What's the most common practice here? Or better yet, is there a "right" way to architecture this relationship?

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• Making large scale changes to an economy in a social game

  - by Zach

  Are there any examples or case studies of social games, specifically on Facebook, where the developer has made drastic changes to the economy? I'm specifically interested in examples where the old economy was based off of purchasing items with Facebook credits then moving to a new model where the same inventory or similar inventory is sold with a soft currency. The closest comparisons I've been able to find so far are looking at iOS games that have gone from purchase models to freemium models, but haven't found a comparable scenario in a social game besides larger scale MMO's.

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• Ray Tracing concers: Efficient Data Structure and Photon Mapping

  - by Grieverheart

  I'm trying to build a simple ray tracer for specific target scenes. An example of such scene can be seen below. I'm concerned as to what accelerating data structure would be most efficient in this case since all objects are touching but on the other hand, the scene is uniform. The objects in my ray tracer are stored as a collection of triangles, thus I also have access to individual triangles. Also, when trying to find the bounding box of the scene, how should infinite planes be handled? Should one instead use the viewing frustum to calculate the bounding box? A few other questions I have are about photon mapping. I've read the original paper by Jensen and many more material. In the compact data structure for the photon they introduce, they store photon power as 4 chars, which from my understanding is 3 chars for color and 1 for flux. But I don't understand how 1 char is enough to store a flux of the order of 1/n, where n is the number of photons (I'm also a bit confused about flux vs power). The other question about photon mapping is, if it would be more efficient in my case to store photons per object (or even per Object's triangle) instead of using a balanced kd-tree. Also, same question about bounding box of the scene but for photon mapping. How should one find a bounding box from the pov of the light when infinite planes are involved?

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• Play audio in javascript with a good performance

  - by João

  I'm developing a browser game where the player can shoot. Everytime he shoots it play a sound. Currently i'm using this code to play sounds in JavaScript: var audio = document.createElement("audio"); audio.src = "my_sound.mp3"; audio.play(); I'm worried about performance here. Will 10 simultaneous sounds impact my game performance too much? Will all audio objects stay in memory even after they are played?

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• Preferred way to render text in OpenGL

  - by dukeofgaming

  Hi, I'm about tu pick up computer graphics once again for an university project. For a previous project I used a library called ftgl that didn't leave me quite satisfied as it felt kind of heavy (I tried all rendering techniques, text rendering didn't scale very well). My question is, is there a good and efficient library for this?, if not, what would be the way to implement fast but nice looking text?. Some intended uses are: Floating object/character labels Dialogues Menus HUD Regards and thanks in advance. EDIT: Preferrably that it can load fonts

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• What happened to .fx files in D3D11?

  - by bobobobo

  It seems they completely ruined .fx file loading / parsing in D3D11. In D3D9, loading an entire effect file was D3DXCreateEffectFromFile( .. ), and you got a ID3DXEffect9, which had great methods like SetTechnique and BeginPass, making it easy to load and execute a shader with multiple techniques. Is this completely manual now in D3D11? The highest level functionality I can find is loading a SINGLE shader from an FX file using D3DX11CompileFromFile. Does anyone know if there's an easier way to load FX files and choose a technique? With the level of functionality provided in D3D11 now, it seems like you're better off just writing .hlsl files and forgetting about the whole idea of Techniques.

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• In a 2D platform game, how to ensure the player moves smoothly over sloping ground?

  - by Kovsa

  See image: http://i41.tinypic.com/huis13.jpg I'm developing a physics engine for a 2D platform game. I'm using the separating axis theorem for collision detection. The ground surface is constructed from oriented bounding boxes, with the player as an axis aligned bounding box. (Specifically, I'm using the algorithm from the book "Realtime Collision Detection" which performs swept collision detection for OBBs using SAT). I'm using a fairly small (close to zero) restitution coefficient in the collision response, to ensure that the dynamic objects don't penetrate the environment. The engine mostly works fine, it's just that I'm concerned about some edge cases that could possibly occur. For example, in the diagram, A, B and C are the ground surface. The player is heading left along B towards A. It seems to me that due to inaccuracy, the player box could be slightly below the box B as it continues up and left. When it reaches A, therefore, the bottom left corner of the player might then collide with the right side of A, which would be undesirable (as the intention is for the player to move smoothly over the top of A). It seems like a similar problem could happen when the player is on top of box C, moving left towards B - the most extreme point of B could collide with the left side of the player, instead of the player's bottom left corner sliding up and left above B. Box2D seems to handle this problem by storing connectivity information for its edge shapes, but I'm not really sure how it uses this information to solve the problem, and after looking at the code I don't really grasp what it's doing. Any suggestions would be greatly appreciated.

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• How to loop section from a song correctly?

  - by Teflo

  I'm programming a little Music Engine for my game in C# and XNA, and one aspect from it is the possibility to loop a section from a song. For example, my song has an intropart, and when the song reached the end ( or any other specific point ), it jumps back where the intropart is just over. ( A - B - B - B ... ) Now I'm using IrrKlank, which is working perfectly, without any gaps, but I have a problem: The point where to jump back is a bit inaccurate. Here's some example code: public bool Passed(float time) { if ( PlayPosition >= time ) return true; return false; } //somewhere else if( song.Passed( 10.0f ) ) song.JumpTo( 5.0f ); Now the problem is, the song passes the 10 seconds, but play a few milliseconds until 10.1f or so, and then jumps to 5 seconds. It's not that dramatic, but very incorrect for my needs. I tried to fix it like that: public bool Passed( float time ) { if( PlayPosition + 3 * dt >= time && PlayPosition <= time ) return true; return false; } ( dt is the delta time, the elapsed time since the last frame ) But I don't think, that's a good solution for that. I hope, you can understand my problem ( and my english, yay /o/ ) and help me :)

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• How to update entity states and animations in a component-based game

  - by mivic

  I'm trying to design a component-based entity system for learning purposes (and later use on some games) and I'm having some troubles when it comes to updating entity states. I don't want to have an update() method inside the Component to prevent dependencies between Components. What I currently have in mind is that components hold data and systems update components. So, if I have a simple 2D game with some entities (e.g. player, enemy1, enemy 2) that have Transform, Movement, State, Animation and Rendering components I think I should have: A MovementSystem that moves all the Movement components and updates the State components And a RenderSystem that updates the Animation components (the animation component should have one animation (i.e. a set of frames/textures) for each state and updating it means selecting the animation corresponding to the current state (e.g. jumping, moving_left, etc), and updating the frame index). Then, the RenderSystem updates the Render components with the texture corresponding to the current frame of each entity's Animation and renders everything on screen. I've seen some implementations like Artemis framework, but I don't know how to solve this situation: Let's say that my game has the following entities. Each entity have a set of states and one animation for each state: player: "idle", "moving_right", "jumping" enemy1: "moving_up", "moving_down" enemy2: "moving_left", "moving_right" What are the most accepted approaches in order to update the current state of each entity? The only thing that I can think of is having separate systems for each group of entities and separate State and Animation components so I would have PlayerState, PlayerAnimation, Enemy1State, Enemy1Animation... PlayerMovementSystem, PlayerRenderingSystem... but I think this is a bad solution and breaks the purpose of having a component-based system. As you can see, I'm quite lost here, so I'd very much appreciate any help.

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• Why do we use Pythagoras in game physics?

  - by Starkers

  I've recently learned that we use Pythagoras 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 Pythagoras! 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 Pythagoras 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 Pythagoras 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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• Algorithm for creating spheres?

  - by Dan the Man

  Does anyone have an algorithm for creating a sphere proceduraly with la amount of latitude lines, lo amount of longitude lines, and a radius of r? I need it to work with Unity, so the vertex positions need to be defined and then, the triangles defined via indexes (more info). EDIT I managed to get the code working in unity. But I think I might have done something wrong. When I turn up the detailLevel, All it does is add more vertices and polygons without moving them around. Did I forget something?

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• Smooth vector based jump

  - by Esa

  I started working on Wolfire's mathematics tutorials. I got the jumping working well using a step by step system, where you press a button and the cube moves to the next point on the jumping curve. Then I tried making the jumping happen during a set time period e.g the jump starts and lands within 1.5 seconds. I tried the same system I used for the step by step implementation, but it happens instantly. After some googling I found that Time.deltatime should be used, but I could not figure how. Below is my current jumping code, which makes the jump happen instantly. while (transform.position.y > 0) { modifiedJumperVelocity -= jumperDrag; transform.position += new Vector3(modifiedJumperVelocity.x, modifiedJumperVelocity.y, 0); } Where modifiedJumperVelocity is starting vector minus the jumper drag. JumperDrag is the value that is substracted from the modifiedJumperVelocity during each step of the jump. Below is an image of the jumping curve:

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• Basic AI FSM - Handling state transition

  - by Galvanize

  I'm starting to study on how to implement game AI, and it seems to me that a very simple FSM for my Pong demo would be a nice way to start. My vision on implementing this would be to have a basic state interface and a class for each state, then the NPC would have an instance of the current state. The class should have an update method and directions on wich state to go next, depending on the event received. The question is: How do I handle this event? Should I have a regular addEventListener and a costum event system? Or should I check on update for the things that could change the current state? I'm feeling a bit lost, I feel I have a good grasp on the FSM concept but a good implementation seems tricky, thanks in advance.

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