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  • Solving 2D Collision Detection Issues with Relative Velocities

    - by Jengerer
    Imagine you have a situation where two objects are moving parallel to one-another and are both within range to collide with a static wall, like this: A common method used in dynamic collision detection is to loop through all objects in arbitrary order, solve for pair-wise collision detection using relative velocities, and then move the object to the nearest collision, if any. However, in this case, if the red object is checked first against the blue one, it would see that the relative velocity to the blue object is -20 m/s (and would thereby not collide this time frame). Then it would see that the red object would collide with the static wall, and the solution would be: And the red object passes through the blue one. So it appears to be a matter of choosing the right order in which you check collisions; but how can you determine which order is correct? How can this passing through of objects be avoided? Is ignoring relative velocity and considering every object as static during pair-wise checks a better idea for this reason?

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  • Tool for creating complex paths?

    - by TerryB
    I want to create some fairly complex predefined paths for my AI sprites to follow. I'll need to use curves, splines etc to get the effect I want. Is there a drawing tool out there that will allow me to draw such curves, "mesh" them by placing lots of points along them at some defined density and then output the coordinates of all of those points for me? I could write this tool myself but hopefully one of the drawing packages can do this? Cheers!

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  • Sprites, Primitives and logic entity as structs

    - by Jeffrey
    I'm wondering would it be considered acceptable: The window class is responsible for drawing data, so it will have a method: Window::draw(const Sprite&); Window::draw(const Rect&); Window::draw(const Triangle&); Window::draw(const Circle&); and all those primitives + sprites would be just public struct. For example Sprite: struct Sprite { float x, y; // center float origin_x, origin_y; float width, height; float rotation; float scaling; GLuint texture; Sprite(float w, float h); Sprite(float w, float h, float a, float b); void useTexture(std::string file); void setOrigin(float a, float b); void move(float a, float b); // relative move void moveTo(float a, float b); // absolute move void rotate(float a); // relative rotation void rotateTo(float a); // absolute rotation void rotationReset(); void scale(float a); // relative scaling void scaleTo(float a); // absolute scaling void scaleReset(); }; So instead of having each primitive to call their draw() function, which is a little bit off topic for their object, I let the Window class handle all the OpenGL stuff and manipulate them as simple objects that will be drawn later on. Is this pattern used? Does it have any cons against it's primitives-draw-themself pattern? Are there any other related patterns?

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  • Calculating collision force with AfterCollision/NormalImpulse is unreliable when IgnoreCCD = false?

    - by Michael
    I'm using Farseer Physics Engine 3.3.1 in a very simple XNA 4 test game. (Note: I'm also tagging this Box2D, because Farseer is a direct port of Box2D and I will happily accept Box2D answers that solve this problem.) In this game, I'm creating two bodies. The first body is created using BodyFactory.CreateCircle and BodyType.Dynamic. This body can be moved around using the keyboard (which sets Body.LinearVelocity). The second body is created using BodyFactory.CreateRectangle and BodyType.Static. This body is static and never moves. Then I'm using this code to calculate the force of collision when the two bodies collide: staticBody.FixtureList[0].AfterCollision += new AfterCollisionEventHandler(AfterCollision); protected void AfterCollision(Fixture fixtureA, Fixture fixtureB, Contact contact) { float maxImpulse = 0f; for (int i = 0; i < contact.Manifold.PointCount; i++) maxImpulse = Math.Max(maxImpulse, contact.Manifold.Points[i].NormalImpulse); // maxImpulse should contain the force of the collision } This code works great if both of these bodies are set to IgnoreCCD=true. I can calculate the force of collision between them 100% reliably. Perfect. But here's the problem: If I set the bodies to IgnoreCCD=false, that code becomes wildly unpredictable. AfterCollision is called reliably, but for some reason the NormalImpulse is 0 about 75% of the time, so only about one in four collisions is registered. Worse still, the NormalImpulse seems to be zero for completely random reasons. The dynamic body can collide with the static body 10 times in a row in virtually exactly the same way, and only 2 or 3 of the hits will register with a NormalImpulse greater than zero. Setting IgnoreCCD=true on both bodies instantly solves the problem, but then I lose continuous physics detection. Why is this happening and how can I fix it? Here's a link to a simple XNA 4 solution that demonstrates this problem in action: http://www.mediafire.com/?a1w242q9sna54j4

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  • How do I determine the draw order in an isometric view flash game?

    - by Gajet
    This is for a flash game, with isometric view. I need to know how to sort object so that there is no need for z-buffer checking when drawing. This might seem easy but there is another restriction, a scene can have 10,000+ objects so the algorithm needs to be run in less than O(n^2). All objects are rectangular boxes, and there are 3-4 objects moving in the scene. What's the best way to do this? UPDATE in each tile there is only object (I mean objects can stack on top of each other). and we access to both map of Objects and Objects have their own position.

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  • Align tetrahedrons

    - by thedeadlybutter
    I'm currently generating tetrahedron meshes in Unity When a player clicks the side of a mesh, a new one spawns aligned with it, like this. I'm not sure how nor can I find any information on implementing a tetra hedron grid. I tried playing around with the vertices until I realized I need to adjust position & rotation. Any ideas? EDIT: To be clear, the second image was manually placed objects in the Unity Editor. I'm looking to make an algorithm that places the meshes correctly.

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  • can't spot the error. Trying to increment

    - by Kevin Jensen Petersen
    I really can't spot the error, or the misspelling. This script should increase the variable currentTime with 1 every second, as long as i am holding the Space button down. This is Unity C#. using UnityEngine; using System.Collections; public class GameTimer : MonoBehaviour { //Timer private bool isTimeDone; public GUIText counter; public int currentTime; private bool starting; //Each message will be shown random each 20 seconds. public string[] messages; public GUIText msg; //To check if this is the end private bool end; void Update () { counter.guiText.text = currentTime.ToString(); if(Input.GetKey(KeyCode.Space)) { if(starting == false) { starting = true; } if(end == false) { if(isTimeDone) { StartCoroutine(timer()); } } else { msg.guiText.text = "You think you can do better? Press 'R' to Try again!"; if(Input.GetKeyDown(KeyCode.R)) { Application.LoadLevel(Application.loadedLevel); } } } if(!Input.GetKey(KeyCode.Space) & starting) { end = true; } } IEnumerator timer() { isTimeDone = false; yield return new WaitForSeconds(1); currentTime++; isTimeDone = true; } }

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  • The technology behind 22can's curiosity

    - by Cameron Scully
    I don't have alot of experience with mobile apps and I definitely don't know much about MMO's but I was wondering what the basic architecture of a game like that would be (understandably some don't consider it a game, but it must use some game theory and implementation). Mainly, how are they able to send/recieve real time feed back of the cube being chipped away by thousands of players on their mobile devices? How is data of the cube's millions of pieces stored and accessed so quickly? Thanks

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  • What is wrong with my specular phong shading

    - by Thijser
    I'm sorry if this should be placed on stackoverflow instead however seeing as this is graphics related I was hoping you guys could help me: I'm attempting to write a phong shader and currently working on the specular. I came acros the following formula: base*pow(dot(V,R),shininess) and attempted to implement it (V is the posion of the viewer and R the reflective vector). This gave the following result and code: Vec3Df phongSpecular(const Vec3Df & vertexPos, Vec3Df & normal, const Vec3Df & lightPos, const Vec3Df & cameraPos, unsigned int index) { Vec3Df relativeLightPos=(lightPos-vertexPos); relativeLightPos.normalize(); Vec3Df relativeCameraPos= (cameraPos-vertexPos); relativeCameraPos.normalize(); int DotOfNormalAndLight = Vec3Df::dotProduct(normal,relativeLightPos); Vec3Df reflective =(relativeLightPos-(2*DotOfNormalAndLight*normal))*-1; reflective.normalize(); float phongyness= Vec3Df::dotProduct(reflective,relativeCameraPos); if (phongyness<0){ phongyness=0; } float shininess= Shininess[index]; float speculair = powf(phongyness,shininess); return Ks[index]*speculair; } I'm looking for something more like this:

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  • Coordinate based travel through multi-line path over elapsed time

    - by Chris
    I have implemented A* Path finding to decide the course of a sprite through multiple waypoints. I have done this for point A to point B locations but am having trouble with multiple waypoints, because on slower devices when the FPS slows and the sprite travels PAST a waypoint I am lost as to the math to switch directions at the proper place. EDIT: To clarify my path finding code is separate in a game thread, this onUpdate method lives in a sprite like class which happens in the UI thread for sprite updating. To be even more clear the path is only updated when objects block the map, at any given point the current path could change but that should not affect the design of the algorithm if I am not mistaken. I do believe all components involved are well designed and accurate, aside from this piece :- ) Here is the scenario: public void onUpdate(float pSecondsElapsed) { // this could be 4x speed, so on slow devices the travel moved between // frames could be very large. What happens with my original algorithm // is it will start actually doing circles around the next waypoint.. pSecondsElapsed *= SomeSpeedModificationValue; final int spriteCurrentX = this.getX(); final int spriteCurrentY = this.getY(); // getCoords contains a large array of the coordinates to each waypoint. // A waypoint is a destination on the map, defined by tile column/row. The // path finder converts these waypoints to X,Y coords. // // I.E: // Given a set of waypoints of 0,0 to 12,23 to 23, 0 on a 23x23 tile map, each tile // being 32x32 pixels. This would translate in the path finder to this: // -> 0,0 to 12,23 // Coord : x=16 y=16 // Coord : x=16 y=48 // Coord : x=16 y=80 // ... // Coord : x=336 y=688 // Coord : x=336 y=720 // Coord : x=368 y=720 // // -> 12,23 to 23,0 -NOTE This direction change gives me trouble specifically // Coord : x=400 y=752 // Coord : x=400 y=720 // Coord : x=400 y=688 // ... // Coord : x=688 y=16 // Coord : x=688 y=0 // Coord : x=720 y=0 // // The current update index, the index specifies the coordinate that you see above // I.E. final int[] coords = getCoords( 2 ); -> x=16 y=80 final int[] coords = getCoords( ... ); // now I have the coords, how do I detect where to set the position? The tricky part // for me is when a direction changes, how do I calculate based on the elapsed time // how far to go up the new direction... I just can't wrap my head around this. this.setPosition(newX, newY); }

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  • Detecting Units on a Grid

    - by hammythepig
    I am making a little turn based strategy game in pygame, that uses a grid system as the main map to hold all the characters and the map layout. (Similar to Fire Emblem, or Advance Wars) I am trying to determine a way to quickly and efficiently (i.e. without too much of a slow down) check if there are any characters within a given range of the currently selected character. So to illustrate: O = currently selected character X = squares within range Range of 1: X X O X X Range of 2: X X X X X X O X X X X X X Range of 3: X X X X X X X X X X X X O X X X X X X X X X X X X Now I have to tell the user who is in range, and I have to let the user choose who to attack if there are multiple enemies in range. If I have a 5x5 grid, filled with " " for empty and numbers for the characters: [ ][ ][ ][ ][4] [ ][1][ ][ ][ ] [ ][ ][ ][ ][ ] [ ][ ][2][3][ ] [ ][ ][ ][ ][ ] Depending on which character the user selects, I would like to show the user which other characters are in range. So if they all had a range of 3: 1 can hit 2 2 can hit 1 or 3 3 can hit 2 4 cannot hit anyone. So, How do I quickly and/or efficiently run though my grid and tell the user where the enemies are? PS- As a bonus, if someone could give an answer that could also work for a minimum distance type range, I would give them a pat on the back and a high five, should they ever travel to Canada and we ever meet in life. For example: Range of 3 to 5: (- is out of range) X X X X X X X X X X X X - X X X X X X - - - X X X X X X - - O - - X X X X X X - - - X X X X X X - X X X X X X X X X X X X

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  • Embed IF text parser in another game?

    - by DragonFax
    Are there any existing interactive fiction text parsing engines that I can embed in another game or application? I'm looking to use something as a library. I can pass it the available objects and verbs from my own side. It will parse the sentences from the user and give me back some sort of structure/AST describing what the user asked for. Then my own code can then act upon that request. I don't need something SIRI level. The simple sentences and actions that current IF games support is fine. But I'm not looking to write a whole text/sentence parser myself. This isn't an If game and I can't write it entirely in an interactive-fiction language like inform 7. Unfortunatly, I can't seem to find any examples of anyone using the text parsing capabilities of these engines without writing the entire game in that engine's language.

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  • Protection against CheatEngine and other injectors [duplicate]

    - by Lucas
    This question already has an answer here: Strategies to Defeat Memory Editors for Cheating - Desktop Games 10 answers Is protection against CheatEngine and other inject tools are possible to do? I was thinking a day and the only one idea I've got is about writting some small application which will scan the processes running every second, and in case if any injector will be found the game client will exit immadiately. I'm writing here to see your opinions on this case as some of you may have some expierence against protecting the game clients against DLL or PYC injection or something.

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  • Android/Java AI agent framework/middleware

    - by corneliu
    I am looking for an AI agent framework to use as a starting point in an Android game I have to create for a university research project. It has been suggested to me to use JADE, but, as far as I can tell, it's not a suitable framework for games (at least for my game idea) because it runs in a split-execution mode, and it needs an always-active network connection to a main host. What I want is just a little something to give me a headstart. I am willing to adjust the game's features to the framework because it's more of a mockup game, and the purpose is to compare the performance of a couple of agents in the game world. The game will be very simplistic, with a minimal UI that displays various stats about the characters in the game (so no graphics, no pathfinding). Thank you.

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  • Having trouble with projection matrix, need help

    - by Mr.UNOwen
    I'm having trouble with what appears to be the projection matrix. Given a wide enough of a screen, when a cube is on the left and right most edge, the left or right wall will appear stretched to the point that the front face is 1/10 the width of the side. So I do update the screen ratio along with the projection matrix and view port on screen resize, am I safe to assume all the trouble is from the matrix class? Also the cube follows the mouse, but it's only vertically aligned and ahead of the mouse when going left or right from the center of the screen. Perspective function call: * setPerspective * * @param fov: angle in radians * @param aspect: screen ratio w/h * @param near: near distance * @param far: far distance **/ void APCamera::setPerspective(GMFloat_t fov, GMFloat_t aspect, GMFloat_t near, GMFloat_t far) { GMFloat_t difZ = near - far; GMFloat_t *data; mProjection->clear(); //set to identity matrix data = mProjection->getData(); GMFloat_t v = 1.0f / tan(fov / 2.0f); data[_AP_MAA] = v / aspect; data[_AP_MBB] = v; data[_AP_MCC] = (far + near) / difZ; data[_AP_MCD] = -1.0f; data[_AP_MDD] = 0.0f; data[_AP_MDC] = 2.0f * far * near/ difZ; mRatio = aspect; mInvProjOutdated = true; mIsPerspective = true; } and... #define _AP_MAA 0 #define _AP_MAB 1 #define _AP_MAC 2 #define _AP_MAD 3 #define _AP_MBA 4 #define _AP_MBB 5 #define _AP_MBC 6 #define _AP_MBD 7 #define _AP_MCA 8 #define _AP_MCB 9 #define _AP_MCC 10 #define _AP_MCD 11 #define _AP_MDA 12 #define _AP_MDB 13 #define _AP_MDC 14 #define _AP_MDD 15

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  • Procedural Mesh: UV mapping

    - by Esa
    I made a procedural mesh and now I want to apply a texture to it. The problem is, I cannot get it to stick the way I want it to. The idea is to have the texture painted only once over the whole mesh, so that there is no repeating. How should I map the UV to make that happen? My mesh is a simple plane consisting of 56 triangles. I'd add pictures to clear things up but I cannot since my reputation is below 10 points. Any help is appreciated. EDIT(Kind people gave me up votes, thank you): Meet my mesh: And when textured(tried to repeat the texture): And my texture:

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  • 2D SAT Collision Detection not working when using certain polygons

    - by sFuller
    My SAT algorithm falsely reports that collision is occurring when using certain polygons. I believe this happens when using a polygon that does not contain a right angle. Here is a simple diagram of what is going wrong: Here is the problematic code: std::vector<vec2> axesB = polygonB->GetAxes(); //loop over axes B for(int i = 0; i < axesB.size(); i++) { float minA,minB,maxA,maxB; polygonA->Project(axesB[i],&minA,&maxA); polygonB->Project(axesB[i],&minB,&maxB); float intervalDistance = polygonA->GetIntervalDistance(minA, maxA, minB, maxB); if(intervalDistance >= 0) return false; //Collision not occurring } This function retrieves axes from the polygon: std::vector<vec2> Polygon::GetAxes() { std::vector<vec2> axes; for(int i = 0; i < verts.size(); i++) { vec2 a = verts[i]; vec2 b = verts[(i+1)%verts.size()]; vec2 edge = b-a; axes.push_back(vec2(-edge.y,edge.x).GetNormailzed()); } return axes; } This function returns the normalized vector: vec2 vec2::GetNormailzed() { float mag = sqrt( x*x + y*y ); return *this/mag; } This function projects a polygon onto an axis: void Polygon::Project(vec2* axis, float* min, float* max) { float d = axis->DotProduct(&verts[0]); float _min = d; float _max = d; for(int i = 1; i < verts.size(); i++) { d = axis->DotProduct(&verts[i]); _min = std::min(_min,d); _max = std::max(_max,d); } *min = _min; *max = _max; } This function returns the dot product of the vector with another vector. float vec2::DotProduct(vec2* other) { return (x*other->x + y*other->y); } Could anyone give me a pointer in the right direction to what could be causing this bug?

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  • SceneManagers as systems in entity system or as a core class used by a system?

    - by Hatoru Hansou
    It seems entity systems are really popular here. Links posted by other users convinced me of the power of such system and I decided to try it. (Well, that and my original code getting messy) In my project, I originally had a SceneManager class that maintained needed logic and structures to organize the scene (QuadTree, 2D game). Before rendering I call selectRect() and pass the x,y of the camera and the width and height of the screen and then obtain a minimized list containing only visible entities ordered from back to front. Now with Systems, originally in my first attempt my Render system required to get added all entities it should handle. This may sound like the correct approach but I realized this was not efficient. Trying to optimize It I reused the SceneManager class internally in the Renderer system, but then I realized I needed methods such as selectRect() in others systems too (AI principally) and make the SceneManager accessible globally again. Currently I converted SceneManager to a system, and ended up with the following interface (only relevant methods): /// Base system interface class System { public: virtual void tick (double delta_time) = 0; // (methods to add and remove entities) }; typedef std::vector<Entity*> EntitiesVector; /// Specialized system interface to allow query the scene class SceneManager: public System { public: virtual EntitiesVector& cull () = 0; /// Sets the entity to be used as the camera and replaces previous ones. virtual void setCamera (Entity* entity) = 0; }; class SceneRenderer // Not a system { vitual void render (EntitiesVector& entities) = 0; }; Also I could not guess how to convert renderers to systems. My game separates logic updates from screen updates, my main class have a tick() method and a render() method that may not be called the same times. In my first attempt renderers were systems but they was saved in a separated manager, updated only in render() and not in tick() like all other systems. I realized that was silly and simply created a SceneRenderer interface and give up about converting them to systems, but that may be for another question. Then... something does not feel right, isn't it? If I understood correctly a system should not depend on another or even count with another system exposing an specific interface. Each system should care only about its entities, or nodes (as optimization, so they have direct references to relevant components without having to constantly call the component() or getComponent() method of the entity).

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  • Will a polled event system cause lag for a server?

    - by Milo
    I'm using a library called ENet. It is a reliable UDP library. The way it works is a polled event system like this: ENetEvent event; /* Wait up to 1000 milliseconds for an event. */ while (enet_host_service (client, & event, 1000) > 0) { switch (event.type) { case ENET_EVENT_TYPE_CONNECT: printf ("A new client connected from %x:%u.\n", event.peer -> address.host, event.peer -> address.port); /* Store any relevant client information here. */ event.peer -> data = "Client information"; break; case ENET_EVENT_TYPE_RECEIVE: printf ("A packet of length %u containing %s was received from %s on channel %u.\n", event.packet -> dataLength, event.packet -> data, event.peer -> data, event.channelID); /* Clean up the packet now that we're done using it. */ enet_packet_destroy (event.packet); break; case ENET_EVENT_TYPE_DISCONNECT: printf ("%s disconected.\n", event.peer -> data); /* Reset the peer's client information. */ event.peer -> data = NULL; } } It waits up to 1000 milliseconds for an event. If I'm hosting say 75 event driven card games and a lobby on the same thread as this code, will it cause any problems. If my understanding is correct, the process will simply sleep until there is an event, when there is one, it will process the event then come back here where potentially 5 or so events have queued up since so enet_host_services would return right away and not cause lag. I have been advised not to use multiple threads, will that be alright like this? Thanks

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  • Calculating 3D camera positions from a video

    - by Geotarget
    I need to calculate the 3D camera position and rotation for each frame in a given video. This is typically used for motion-tracking, and to insert 3D objects into a video. I'm currently using VideoTrace to calculate this for me, and I'm getting the data exported as a 3DS Maxscript file. However when I try to use the 3D camera rotations, I'm getting strange errors in my 3D calculations, as if there is an error with the 3x3 rotation matrices. Can you spot any error with the data itself? Or is it my other calculations that are erroneous? frame 1 rotation=(matrix3[-0.011938, 0.756018, -0.654442][-0.382040, -0.608284, -0.695727][-0.924068, 0.241718, 0.296091][0, 0, 0]).rotationpart position=[-0.767177, 0.308723, -0.232722] fov=57.352135 frame 2 rotation=(matrix3[-0.460922, -0.726580, -0.509541][-0.200163, 0.644491, -0.737947][ 0.864572, -0.238145, -0.442495][0, 0, 0]).rotationpart position=[-0.856630, 0.198654, -0.243853] fov=57.352135

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  • How can I test different TV display types for my XBLIG game?

    - by Steve Dunn
    The XBLIG submission check-list says to ensure that all important stuff critical to game-play be visible in the 'TitleSafeArea'. I've received a bug report during play-test of my game (Crazy Balloon Lite) that says parts of my scrolling 2D map are only half visible (i.e. chopped at the left of the screen). I've tested my game myself on a 47" TV and also a 19" VGA monitor, both of which look fine. The bug report says the issue occurs on a standard 20" TV. My question is: without buying different sizes of TVs, is there a way to test what my game will look like on different sized displays?

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  • How to correctly export UV coordinates from Blender

    - by KlashnikovKid
    Alright, so I'm just now getting around to texturing some assets. After much trial and error I feel I'm pretty good at UV unwrapping now and my work looks good in Blender. However, either I'm using the UV data incorrectly (I really doubt it) or Blender doesn't seem to export the correct UV coordinates into the obj file because the texture is mapped differently in my game engine. And in Blender I've played with the texture panel and it's mapping options and have noticed it doesn't appear to affect the exported obj file's uv coordinates. So I guess my question is, is there something I need to do prior to exporting in order to bake the correct UV coordinates into the obj file? Or something else that needs to be done to massage the texture coordinates for sampling. Or any thoughts at all of what could be going wrong? (Also here is a screen shot of my diffused texture in blender and the game engine. As you can see in the image, I have the same problem with a simple test cube not getting correct uv's either) http://www.digitalinception.net/blenderSS.png http://www.digitalinception.net/gameSS.png

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  • Is there an open source sports manager project?

    - by massive
    For a long time I've tried to search for an open source manager game, but without any luck. I'm looking for a suitable project for a reference to my own pet project. Features like well designed data model, tournament and fixture generation and understandable match simulation algorithm would be a great bonuses. I'm especially interested in game projects like Hattrick and SI Games' Football Manager, although it is irrelevant what the particular sport is. The project should be preferably web-based as Hattrick is. I've crawled through GitHub and SourceForge, but I found only a few sports simulation projects. Projects, which I have found, were either dead or not fulfilling my wishes. Do you know any open source manager game / fantasy sports game project, which would be available as open source, OR at least any material, which would be useful when building a such project?

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  • Examples of good Javascript/HTML5 based games

    - by Zuch
    Now that Flash is largely being replaced with HTML5 elements (video, audio, canvas, etc.) are there any good examples of web-based games built on completely open standards (meaning Javascript, HTML and CSS)? I see a lot of examples of pure HTML5 implementations of what was once only in Flash (like stuff here: http://www.html5rocks.com/) but not many games, a domain which still seem dominated by Flash. I'm curious what's possible and what the limitations are.

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  • What's the proper way to calculate probability for a card game?

    - by Milan Babuškov
    I'm creating AI for a card game, and I run into problem calculating the probability of passing/failing the hand when AI needs to start the hand. Cards are A, K, Q, J, 10, 9, 8, 7 (with A being the strongest) and AI needs to play to not take the hand. Assuming there are 4 cards of the suit left in the game and one is in AI's hand, I need to calculate probability that one of the other players would take the hand. Here's an example: AI player has: J Other 2 players have: A, K, 7 If a single opponent has AK7 then AI would lose. However, if one of the players has A or K without 7, AI would survive. Now, looking at possible distribution, I have: P1 P2 AI --- --- --- AK7 loses AK 7 survives A7 K survives K7 A survives A 7K survives K 7A survives 7 KA survives AK7 loses Looking at this, it seems that there is 75% chance of survival. However, I skipped the permutations that mirror the ones from above. It should be the same, but somehow when I write them all down, it seems that chance is only 50%: P1 P2 AI --- --- --- AK7 loses A7K loses K7A loses KA7 loses 7AK loses 7KA loses AK 7 survives A7 K survives K7 A survives KA 7 survives 7A K survives 7K A survives A K7 survives A 7K survives K 7A survives K A7 survives 7 AK survives 7 KA survives AK7 loses A7K loses K7A loses KA7 loses 7AK loses 7KA loses 12 loses, 12 survivals = 50% chance. Obviously, it should be the same (shouldn't it?) and I'm missing something in one of the ways to calculate. Which one is correct?

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