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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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• Can I remove the systems from a component entity system?

  - by nathan

  After reading a lot about entity/component based engines. I feel like there is no real definition for this kind of engine. Reading this thread: Implementing features in an Entity System and the linked article made me think a lot. I did not feel that comfortable using System concept so I'll write something else, inspired by this pattern. I'd like to know if you think it's a good way to organize game code and what improvements can be made. Regarding a more strict implementation of entity/component based engine, is my solution viable? Do I risk getting stuck at any point due to the lack of flexibility of this implementation (or anything else)? My engine, as for entity/component patterns has entities and components, no systems since the game logic is handled by components. Also, I think the main difference is the fact that my engine will use inherence and OOP concepts in general, I mean, I don't try to minimize them. Entity: an entity is an abstract class. It holds his position, width and height, scale and a list of linked components. The current implementation can be found here (java). Every frame, the entity will be updated (i.e all the components linked to this entity will be updated), and rendered, if a render component is specified. Component: like for entity, a component is an abstract class that must be extended to create new components. The behavior of an entity is created through his components collection. The component implementation can be found here. Components are updated when the owning entity is updated or for only one specific component (render component), rendered. Here is an example of a logic component (i.e not a renderable component, a component that's updated each frame) in charge of listening for keyboard events and a render component in charge of display a plain sprite (i.e not animated).

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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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• Develop 3d game for iphone & android in single code

  - by lajpat

  I have to make a 3d game on the lines of this app 3D Chess I want to make this app for both android & iphone by writing a single code. Of course little native code will be required to be done. I want to ensure that entire logic & animation code is written only once. What software does one suggest to achieve this since I am not a tight schedule. I came across Corona but I am not sure if such game can be made using it. Others I found Unity & Shiva. I am not experience in 3D game so please if someone can help Thanks Lajpat

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• If statement causing xna sprites to draw frame by frame

  - by user1489599

  I’m a bit new to XNA but I wanted to write a simple program that would fire a cannon ball from a cannon at a 45 degree angle. It works fine outside of my keyboard i/o if statement, but when I encapsulate the code around an if statement checking to see if the user hits the space bar, the sprite will draw one frame at a time every time the space bar is hit. This is the code in question if (currentKeyboardState.IsKeyUp(Keys.Space) && previousKeyboardState.IsKeyDown(Keys.Space) && !skullBall.Alive) { //works outside the keyboard input if statement //{ skullBall.Position = cannon.Position; skullBall.DeltaY = -(float)(Math.Sin(MathHelper.ToRadians(45)) * 50/*39.7577*/ * time + 0.5 * (gravity * (time * time))); skullBall.DeltaX = (float)(Math.Cos(MathHelper.ToRadians(45)) * 50/*39.7577*/ * time); skullBall.Alive = true; //} } The skull ball represents the cannon ball and the cannon is just the starting point. DeltaX and DeltaY are the values I’m using to update the cannon balls position per update. I know it's dumb to have the cannon ball start at the cannons position every time the update is called but it’s not really noticeable right now. I was wondering if after examining my code, if anyone noticed any errors that would cause the sprite to display frame by frame instead of drawing it as a full animation of the cannon ball leaving the cannon and moving from there.

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• OpenGL ES 2 on Android: native window

  - by ThreaderSlash

  According to OGLES specification, we have the following definition: EGLSurface eglCreateWindowSurface(EGLDisplay display, EGLConfig config, NativeWindowType native_window, EGLint const * attrib_list) More details, here: http://www.khronos.org/opengles/documentation/opengles1_0/html/eglCreateWindowSurface.html And also by definition: int32_t ANativeWindow_setBuffersGeometry(ANativeWindow* window, int32_t width, int32_t height, int32_t format); More details, here: http://mobilepearls.com/labs/native-android-api I am running Android Native App on OGLES 2 and debugging it in a Samsung Nexus device. For setting up the 3D scene graph environment, the following variables are defined: struct android_app { ... ANativeWindow* window; }; android_app* mApplication; ... mApplication=&pApplication; And to initialize the App, we run the commands in the code: ANativeWindow_setBuffersGeometry(mApplication->window, 0, 0, lFormat); mSurface = eglCreateWindowSurface(mDisplay, lConfig, mApplication->window, NULL); Funny to say is that, the command ANativeWindow_setBuffersGeometry behaves as expected and works fine according to its definition, accepting all the parameters sent to it. But the eglCreateWindowSurface does no accept the parameter mApplication-window, as it should accept according to its definition. Instead, it looks for the following input: EGLNativeWindowType hWnd; mSurface = eglCreateWindowSurface(mDisplay,lConfig,hWnd,NULL); As an alternative, I considered to use instead: NativeWindowType hWnd=android_createDisplaySurface(); But debugger says: Function 'android_createDisplaySurface' could not be resolved Is 'android_createDisplaySurface' compatible only for OGLES 1 and not for OGLES 2? Can someone tell if there is a way to convert mApplication-window? In a way that the data from the android_app get accepted to the window surface?

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• Procedural world generation oriented on gameplay features

  - by Richard Fabian

  In large procedural landscape games, the land seems dull, but that's probably because the real world is largely dull, with only limited places where the scenery is dramatic or tactical. Looking at world generation from this point of view, a landscape generator for a game (that is, not for the sake of scenery, but for the sake of gameplay) needs to not follow the rules of landscaping, but instead some rules married to the expectations of the gamer. For example, there could be a choke point / route generator that creates hills ravines, rivers and mountains between cities, rather than the natural way cities arise, scattered on the land based on resources or conditions generated by the mountains and rainfall patterns. Is there any existing work being done like this? Start with cities or population centres and then add in terrain afterwards? The reason I'm asking is that I'd previously pondered taking existing maps from fantasy fiction (my own and others), putting the information into the system as a base point, and then generating a good world to play in from it. This seems covered by existing technology, that is, where the designer puts in all the necessary information such as the city populations, resources, biomes, road networks and rivers, then allows the PCG fill in the gaps. But now I'm wondering if it may be possible to have a content generator generate also the overall design. Generate the cities and population centres, balancing them so that there is a natural seeming need of commerce, then generate the positions and connectivity, then from the type of city produce the list of necessary resources that must be nearby, and only then, maybe given some rules on how to make the journey between cities both believable and interesting, generate the final content including the roads, the choke points, the bridges and tunnels, ferries and the terrain including the biomes and coastline necessary. If this has been done before, I'd like to know, and would like to know what went wrong, and what went right.

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• Texturize a shape of multiple triangles in 2D

  - by Deukalion

  This is an example of a shape consisting of multiple points, triangles and eventually a shape: Red Dots = Vector3 (X, Y, Z) or Vector2 (X, Y) If I have a Texture of a certain size, how do I texturize this area in the best way so that the texture inside the shape matches the shape and does not overlap anywhere? Perhaps also with a chance to scale the texture in case it's too small or to big for the shape, but still so that it gets rendered correctly. Do I treat the shape as a rectangle? Figure out it's 4 corners? Or do I calculate the distance between Center - (Texture Width / 2) and Point (to see how "many" times the texture can fit between on that axis to estimate at what Coordinates the Texture should be at that certain point? I've looked at Texture Mapping but haven't found any concrete examples that it explains it well, it's also confusing with 0.0-1.0 values for Texture Coordinates.

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• Sprites rendering blurry with velocity

  - by ashes999

  After adding velocity to my game, I feel like my textures are twitching. I thought it was just my eyes, until I finally captured it in a screenshot: The one on the left is what renders in my game; the one on the right is the original sprite, pasted over. (This is a screenshot from Photoshop, zoomed in 6x.) Notice the edges are aliasing -- it looks almost like sub-pixel rendering. In fact, if I had not forced my sprites (which have position and velocity as ints) to draw using integer values, I would swear that MonoGame is drawing with floating point values. But it isn't. What could be the cause of these things appearing blurry? It doesn't happen without velocity applied. To be precise, my SpriteComponent class has a Vector2 Position field. When I call Draw, I essentially use new Vector2((int)Math.Round(this.Position.X), (int)Math.Round(this.Position.Y)) for the position. I had a bug before where even stationary objects would jitter -- that was due to me using the straight Position vector and not rounding the values to ints. If I use Floor/Ceiling instead of round, the sprite sinks/hovers (one pixel difference either way) but still draws blurry.

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• Html 5 ping pong game side collision problem

  - by Gurjit

  I am making a simple ping pong game where I am facing a side collision problem means when the ball collides with the either side of the paddle . Although I have written code for making it works but something is failing....I want plz someone to give suggestions and tell how to avoid it. Means while trying to hit the ball with side face of the paddle poses a problem.!! Here is the main part of the code causing problem function checkCollision(){ ///// This is collision detection for the upper part ///// if( cy + radius >= paddleTop && cx + radius > paddleLeft && cy + radius >= paddleTop + 5 && cx - radius <= paddleLeft + paddleWidth ) { dy = -dy; ++hits; /// On collision we are increasing the Score playSound(); } else if( cy + radius >= paddleTop && cy + radius <= paddleTop + paddleHeight && cx + radius >= paddleLeft && cy - radius <= paddleLeft - (radius + 1) ) { dx = -dx; } } here is working fiddle for it :- http://jsfiddle.net/gurjitmehta/orzpzf69/

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• How can I downsample a texture using FBOs?

  - by snape

  I am rendering a scene to FBO as my render target whose size is 8 times the size of the orignal screen in OpenGL. Now i wan to downsample the texture generated by FBO to the size of the screen so as to achieve spatial anti aliasing. How do i achieve the down sampling ? Please provide implementation details. Note : If there is a better way of doing anti aliasing in FBOs please mention that too. I am trying to remove the aliasing in the image attached below.

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• Finding direction of travel in a world with wrapped edges

  - by crazy

  I need to find the shortest distance direction from one point in my 2D world to another point where the edges are wrapped (like asteroids etc). I know how to find the shortest distance but am struggling to find which direction it's in. The shortest distance is given by: int rows = MapY; int cols = MapX; int d1 = abs(S.Y - T.Y); int d2 = abs(S.X - T.X); int dr = min(d1, rows-d1); int dc = min(d2, cols-d2); double dist = sqrt((double)(dr*dr + dc*dc)); Example of the world : : T : :--------------:--------- : : : S : : : : : : T : : : :--------------: In the diagram the edges are shown with : and -. I've shown a wrapped repeat of the world at the top right too. I want to find the direction in degrees from S to T. So the shortest distance is to the top right repeat of T. but how do I calculate the direction in degreed from S to the repeated T in the top right? I know the positions of both S and T but I suppose I need to find the position of the repeated T however there more than 1. The worlds coordinates system starts at 0,0 at the top left and 0 degrees for the direction could start at West. It seems like this shouldn’t be too hard but I haven’t been able to work out a solution. I hope somone can help? Any websites would be appreciated.

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• MMORPG design for time-limited players

  - by Philipp

  I believe that there is a significant market of players who would enjoy the exploration and interaction aspects of MMORPGs, but simply don't have the time for the endless grinding marathons which are part of the average MMORPG. MMORPGs are all about interaction between players. But when different players have different amounts of time to invest into a game, those with less time to spend will soon lack behind their power-leveling friends and won't be able to interact with them anymore. One way to solve this would be to limit the progress a player can achieve per day, so that it simply doesn't make sense to play more than one or two hours a day. But even the busiest casual players sometimes like to spend a whole sunday afternoon playing a video game. Just stopping them after two hours would be really frustrating. It also creates a pressure to use the daily progress limit every day, because otherwise the player would feel like wasting something. This pressure would be detrimental for casual gamers. What else could be done to level the playing field between those players who play 40+ hours a week and those who can't play more than 10?

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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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• 3D Model not translating correctly (visually)

  - by ChocoMan

  In my first image, my model displays correctly: But when I move the model's position along the Z-axis (forward) I get this, yet the Y-axis doesnt change. An if I keep going, the model disappears into the ground: Any suggestions as to how I can get the model to translate properly visually? Here is how Im calling the model and the terrain in draw(): cameraPosition = new Vector3(camX, camY, camZ); // Copy any parent transforms. Matrix[] transforms = new Matrix[mShockwave.Bones.Count]; mShockwave.CopyAbsoluteBoneTransformsTo(transforms); Matrix[] ttransforms = new Matrix[terrain.Bones.Count]; terrain.CopyAbsoluteBoneTransformsTo(ttransforms); // Draw the model. A model can have multiple meshes, so loop. foreach (ModelMesh mesh in mShockwave.Meshes) { // This is where the mesh orientation is set, as well // as our camera and projection. foreach (BasicEffect effect in mesh.Effects) { effect.EnableDefaultLighting(); effect.PreferPerPixelLighting = true; effect.World = transforms[mesh.ParentBone.Index] * Matrix.CreateRotationY(modelRotation) * Matrix.CreateTranslation(modelPosition); // Looking at the model (picture shouldnt change other than rotation) effect.View = Matrix.CreateLookAt(cameraPosition, modelPosition, Vector3.Up); effect.Projection = Matrix.CreatePerspectiveFieldOfView( MathHelper.ToRadians(45.0f), aspectRatio, 1.0f, 10000.0f); effect.TextureEnabled = true; } // Draw the mesh, using the effects set above. prepare3d(); mesh.Draw(); } //Terrain test foreach (ModelMesh meshT in terrain.Meshes) { foreach (BasicEffect effect in meshT.Effects) { effect.EnableDefaultLighting(); effect.PreferPerPixelLighting = true; effect.World = ttransforms[meshT.ParentBone.Index] * Matrix.CreateRotationY(0) * Matrix.CreateTranslation(terrainPosition); // Looking at the model (picture shouldnt change other than rotation) effect.View = Matrix.CreateLookAt(cameraPosition, terrainPosition, Vector3.Up); effect.Projection = Matrix.CreatePerspectiveFieldOfView( MathHelper.ToRadians(45.0f), aspectRatio, 1.0f, 10000.0f); effect.TextureEnabled = true; } // Draw the mesh, using the effects set above. prepare3d(); meshT.Draw(); DrawText(); } base.Draw(gameTime); } Im suspecting that there may be something wrong with how I'm handling my camera. The model rotates fine on its Y-axis.

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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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• Object detection in bitmap JavaScript canvas

  - by fallenAngel

  I want to detect clicks on canvas elements which are drawn using paths. So far I have stored element paths in a JavaScript data structure and then check the coordinates of hits which match the element's coordinates. Rendering each element path and checking the hits would be inefficient when there are a lot of elements. I believe there must be an algorithm for this kind of coordinate search, can anyone help me with this?

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• Can anyone recommend an AI sandbox?

  - by user19433

  I'm passionate person, who has been around AI from a long time [1] but never going in deep enough. Now it's time! I've been really looking for some way to concentrate on AI coding but couldn't succeeded to find an AI environment I can focus on. I just want to use an AI sandbox environment which would let me have tools like: visibility information character controller able to easily define a level, with obstacles of course physics collider management triggers management don't need to be a shiny, eye candy graphical render : this is about pathfinding, tactical reasoning, etc.. I have tried : Unreal Dev Kit : while the new release announce is about C++ coding, this is about external tools and will be released in 2013 Cry Engine : really interesting as AI is presents here but coding with it appears to be an hell: did I got it wrong ? Half Life source, C4, Torque, Dx Studio : either quite old, not very useful or costly these imply to dig in documentation (when provided) to code everything, graphics included. Unity 3D : the most promising platform. While you also need to create your own environment, there are lot of examples. The disadvantage is, in addition to spend time to have this env. working, is the languages choice : C#, Javascript or Boo. C# is not that hard, but this implies you'll allways have to convert papers (I love those from Lars Linden) books codes, or anything you can have in Aigamedev are most often in C++. This is extra work. I've look at "Simple Path", the very good Arong Greenberg work but no source provided and AngryAnt work. AI Sandbox : this seems to be exactly what as AI coder I want to use. I saw some preview but from 2009 we still don't know what it will be about precisely, will it be opensource or free (I strongly doubt), will I be able to buy it? will it really provide me tools I need to focus on AI ? That being said, what is the best environment to be able to focus on AI coding only, is it even possible?

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• Alternatives to NSMutableArray for storing 2D grid - iOS Cocos2d

  - by SundayMonday

  I'm creating a grid-based iOS game using Cocos2d. Currently the grid is stored in an NSMutableArray that contains other NSMutableArrays (the latter are rows in the grid). This works ok and performance so far is pretty good. However the syntax feels bulky and the indexing isn't very elegant (using CGPoints, would prefer integer indices). I'm looking for an alternative. What are some alternatives data structures for 2D arrays in this situation? In my game it's very common to add and remove rows from the bottom of the grid. So the grid might start off 10x10, grow to 17x10, shrink to 8x10 and then finally end with 2x10. Note the column count is constant. I've consider using a vector<vector<Object*>>. Also I'm vaguely aware of some type of "fast array" or similar offered by Cocos2d. I'd just like to learn about best practices from other developers!

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• Camera Collision inside the room model

  - by sanddy

  I am having a problem in Calculating the camera collision for my Room model which consists of sofa, tables and other models. The users shall be moving the camera front, back, rotating so i need to make sure that the camera does not collide with any of the models with in the room. I have treated all my models inside the room by BoundingBox[] and the camera by BoundingSphere. So, far i have implemented collision by looking into the tutorial from http://www.toymaker.info/Games/XNA/html/xna_model_collisions.html which was great. But, I guess the problem lies in the Transformation part. I debugged and found some points to be at Vector(-XXX,-XXX,-XXX) where X is digit. Also i found my radius of some models where too large(in thousand, i just looked into its radius value before converting to BoundingBox). Do I need to scale the model for collision??? Below are my code:- On My LoadContent(): Matrix[] transforms = new Matrix[myModel.Bones.Count]; myModel.CopyAbsoluteBoneTransformsTo(transforms); int index = 0; box = new List<BoundingBox>(); BoundingBox worldModel = Utility.CalculateBoundingBox(myModel); foreach (ModelMesh mesh in myModel.Meshes) { Vector3[] obb = new Vector3[8]; worldModel.GetCorners(obb); Vector3[] asdf = (Vector3[])obb.Clone(); Vector3.Transform(obb, ref transforms[mesh.ParentBone.Index], obb); BoundingBox worldBox = BoundingBox.CreateFromPoints(obb); box.Add(worldBox); index++; } On CameraPosition Update: BoundingSphere bs = new BoundingSphere(this.cameraPos, 5.0f); if (RoomWalkthrough.Utility.CheckCollision(bs, bb)) { // Do Something } Please Help.

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• Correct order of tasks in each frame for a Physics simulation

  - by Johny

  I'm playing a bit around with 2D physics. I created now some physic blocks which should collide with each other. This works fine "mostly" but sometimes one of the blocks does not react to a collision and i think that's because of my order of tasks done in each frame. At the moment it looks something like this: function GameFrame(){ foreach physicObject do AddVelocityToPosition(); DoCollisionStuff(); // Only for this object not to forget! AddGravitationToVelocity(); end RedrawScene(); } Is this the correct order of tasks in each frame?

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• Frames per Second and Updates per Second [on hold]

  - by matt murray

  So this is more a general resources question, as I am seeking knowledge on how best to conserve resources in a game (I am writing in Java, and please this is not a thread on what language I should write it in, I have already chosen Java) so that the updates and frames per second could be the highest they could be. In general I am just searching for any articles you may have, any personal experience, anything what so ever that could be of use to a pretty new Java game developer on the subject! Thanks in advance!

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• Why doesn't my cube hold a position?

  - by Christian Frantz

  I gave up a previous method of creating cubes so I went with a list to hold my cube objects. The list is being populated from an array like so: #region MAP float[,] map = { {0, 0, 0, 0, 0}, {0, 0, 0, 0, 0}, {0, 0, 0, 0, 0}, {0, 0, 0, 0, 0}, {0, 0, 0, 0, 0} }; #endregion MAP for (int x = 0; x < mapWidth; x++) { for (int z = 0; z < mapHeight; z++) { cubes.Add(new Cube(device, new Vector3(x, map[x,z], z), Color.Green)); } } The cube follows all the parameters of what I had before. This is just easier to deal with. But when I debug, every cube has a position of (0, 0, 0) and there's just one black cube in the middle of my screen. What could I be doing wrong here? public Vector3 cubePosition { get; set; } public Cube(GraphicsDevice graphicsDevice, Vector3 Position, Color color) { device = graphicsDevice; color = Color.Green; Position = cubePosition; SetUpIndices(); SetUpVerticesArray(); } That's the cube constructor. All variables are being passed correctly I think

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• How should I generate and store the boundries of a cave?

  - by Bob Roberts

  I am making a small cave copter game (seriously, where did this type of game come from anyway) and I am trying to figure out how to make and store the procedural generated walls. I am thinking about creating the walls by randomly picking two points away from the center of the screen. They will be no closer than the height of helicopter and no further than the edge of the screen, weighted to prefer to go in the same direction as the point prior so I end up with stalactites and stalagmites and not just noise, at set intervals of distance. To store, perhaps parallel arrays/lists, one for distance from center to top screen and one for distance from center to bottom. Am I way off base with my thinking? I just want the cave to be varied and challenging, I just have never worked with generating data like this. Edit: Woah, I just realized that my idea would lead to a player being able to stay in the middle of the screen and win. That isn't right at all. So the very basis of how I was going to generate is wrong. Edit 2: I also realized I left out a very crucial point. Part of the mechanics of the game will let the player go backwards therefor the data structure should be continuous.

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• Turn based battle and formula

  - by Mark Chapman

  I'm building a game called DVP(Digimon Virtual Pet), and in this game other than taking care of your digimon, You can also battle and breed them. I'm working on the battle system (making it first cause the actual pet system will be easy compared to the netplay, or 39DLL)but here is the problem I don't want it to be "too" simple or "too" complicated, but I do want to go by a certain formula. There are str, def, spd, and int. Strength: How hard the attacking digimon is hitting Defense: How much damage your digimon can defend when being attacked Speed: The chance of you missing the enemy Intelligence (battle knowledge): The chance of you hitting a critical hit or defending a critical hit. I can make a super simple turn based example, but I don't know how exactly to make the formulas for what I've explained above, any help?

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