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  • What is the best way to exploit multicores when making multithread games?

    - by Keeper
    Many people suggest to write a program, and then start optimizing it. But I think that when it's coming to multithreading with multicore, a little think ahead is required. I've read about using threads, and experienced it myself during some courses at the university (still a student). The big question is simple, but a bit abstract: What thread related steps in game design do I need to take, before implementation? Now trying to be more specific. Let's say, as an example, that I'm making a small board game (like Monopoly) that I want to be multithreaded. My goal Is that this multithreaded game will exploit the best of the multicore system, lets say 4-6 cores (like in i7 processors). My answer to this question at the moment is, one thread for each of these four basic components: GUI User Input / Output AI (computer rival) Other game related calculations (like shortest path from A to B, or level up status change) I'm not an expert (yet!), and I'm sure there are better answers out there. Any suggestion, answer, different approach will be helpful. Some thoughts: Maybe splitting the main database is a good way.. (or total disaster.. )

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  • Multiplayer tile based movement synchronization

    - by Mars
    I have to synchronize the movement of multiple players over the Internet, and I'm trying to figure out the safest way to do that. The game is tile based, you can only move in 4 directions, and every move moves the sprite 32px (over time of course). Now, if I would simply send this move action to the server, which would broadcast it to all players, while the walk key is kept being pressed down, to keep walking, I have to take this next command, send it to the server, and to all clients, in time, or the movement won't be smooth anymore. I saw this in other games, and it can get ugly pretty quick, even without lag. So I'm wondering if this is even a viable option. This seems like a very good method for single player though, since it's easy, straight forward (, just take the next movement action in time and add it to a list), and you can easily add mouse movement (clicking on some tile), to add a path to a queue, that's walked along. The other thing that came to my mind was sending the information that someone started moving in some direction, and again once he stopped or changed the direction, together with the position, so that the sprite will appear at the correct position, or rather so that the position can be fixed if it's wrong. This should (hopefully) only make problems if someone really is lagging, in which case it's to be expected. For this to work out I'd need some kind of queue though, where incoming direction changes and stuff are saved, so the sprite knows where to go, after the current movement to the next tile is finished. This could actually work, but kinda sounds overcomplicated. Although it might be the only way to do this, without risk of stuttering. If a stop or direction change is received on the client side it's saved in a queue and the char keeps moving to the specified coordinates, before stopping or changing direction. If the new command comes in too late there'll be stuttering as well of course... I'm having a hard time deciding for a method, and I couldn't really find any examples for this yet. My main problem is keeping the tile movement smooth, which is why other topics regarding synchronization of pixel based movement aren't helping too much. What is the "standard" way to do this?

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  • jBullet Collision/Physics not working as expected

    - by Kenneth Bray
    Below is the code for one of my objects in the game I am creating (yes although this is a cube, I am not making anything remotely like MineCraft), and my issue is I while the cube will display and is does follow the physics if the cube falls, it does not interact with any other objects in the game. If I was to have multiple cubes in screen at once they all just sit there, or shoot off in all directions never stopping. Anyway, I am new to jBullet, and any help would be appreciated. // Constructor public Cube(float pX, float pY, float pZ, float pSize) { posX = pX; posY = pY; posZ = pZ; size = pSize; rotX = 0; rotY = 0; rotZ = 0; // physics stuff fallMotionState = new DefaultMotionState(new Transform(new Matrix4f(new Quat4f(0, 0, 0, 1), new Vector3f(posX, posY, posZ), 1))); fallRigidBodyCI = new RigidBodyConstructionInfo(mass, fallMotionState, fallShape, fallInertia); fallRigidBody = new RigidBody(fallRigidBodyCI); }

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  • How to apply a filter to the screen of a running program?

    - by Shahbaz
    The idea is to take old games without modifying them, but have the graphics card apply a series of filters to their output before sending them to the monitor. A very crude example would be to take a game that has a resolution of 640x480 and do: Increase the resolution to 1280x960 Apply a blur (low pass filter) Apply a sharpen (1 + high pass filter) These steps may not necessarily be the best to improve the visuals of an old game, but there are a lot of techniques that are well-known in image processing for this purpose. The question is, do the (NVidia) graphics cards give the ability to load a program that modifies the screen before sending it to the monitor? If so, how are they called and what terminology should I use to search? I would be comfortable with doing the programming myself if this ability is part of a library. Also, would the solution be different between Windows and Linux? If so, either is fine, since most of the games are probably runnable by wine.

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  • Transform 3d viewport vector to 2d vector

    - by learning_sam
    I am playing around with 3d transformations and came along an issue. I have a 3d vector already within the viewport and need to transform it to a 2d vector. (let's say my screen is 10x10) Does that just straight works like regualar transformation or is something different here? i.e.: I have the vector a = (2, 1, 0) within the viewport and want the 2d vector. Does that works like this and if yes how do I handle the "0" within the 3rd component?

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  • Implement Fast Inverse Square Root in Javascript?

    - by BBz
    The Fast Inverse Square Root from Quake III seems to use a floating-point trick. As I understand, floating-point representation can have some different implementations. So is it possible to implement the Fast Inverse Square Root in Javascript? Would it return the same result? float Q_rsqrt(float number) { long i; float x2, y; const float threehalfs = 1.5F; x2 = number * 0.5F; y = number; i = * ( long * ) &y; i = 0x5f3759df - ( i >> 1 ); y = * ( float * ) &i; y = y * ( threehalfs - ( x2 * y * y ) ); return y; }

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  • Different iPhone screen resolutions and game graphics

    - by Luke
    We are developing a 2D game for iPhone using cocos2d-x. The artists are drawing the raster graphic for a resoluion of 640x960. For older iPhone devices, those that have a resolution of 320x480, should we provide a completely new set of graphics, to be adapted to the smaller resolution? I was thinking of simply scaling the whole scene of a factor of 2. That would save us the time to write a specific set of graphic elements for the smaller resolution. What is the best practices? How do you guys handle the different screen resolution w.r.t. the graphic part of the game?

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  • 2D Smooth Turning in a Tile-Based Game

    - by ApoorvaJ
    I am working on a 2D top-view grid-based game. A ball that rolls on the grid made up of different tiles. The tiles interact with the ball in a variety of ways. I am having difficulty cleanly implementing the turning tile. The image below represents a single tile in the grid, which turns the ball by a right angle. If the ball rolls in from the bottom, it smoothly changes direction and rolls to the right. If it rolls in from the right, it is turned smoothly to the bottom. If the ball rolls in from top or left, its trajectory remains unchanged by the tile. The tile shouldn't change the magnitude of the velocity of the ball - only change its direction. The ball has Velocity and Position vectors, and the tile has Position and Dimension vectors. I have already implemented this, but the code is messy and buggy. What is an elegant way to achieve this, preferably by modification of the ball's Velocity vector by a formula?

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  • Rotation angle based on touch move

    - by Siddharth
    I want to rotate my stick based on the movement of the touch on the screen. From my calculation I did not able to find correct angle in degree. So please provide guidance, my code snippet for that are below. if (pSceneTouchEvent.isActionMove()) { pValueX = pSceneTouchEvent.getX(); pValueY = CAMERA_HEIGHT - pSceneTouchEvent.getY(); rotationAngle = (float) Math.atan2(pValueX, pValueY); stick.setRotation((float) MathUtils.radToDeg(rotationAngle)); }

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  • Checking for collisions on a 3D heightmap

    - by Piku
    I have a 3D heightmap drawn using OpenGL (which isn't important). It's represented by a 2D array of height data. To draw this I go through the array using each point as a vertex. Three vertices are wound together to form a triangle, two triangles to make a quad. To stop the whole mesh being tiny I scale this by a certain amount called 'gridsize'. This produces a fairly nice and lumpy, angular terrain kind of similar to something you'd see in old Atari/Amiga or DOS '3D' games (think Virus/Zarch on the Atari ST). I'm now trying to work out how to do collision with the terrain, testing to see if the player is about to collide with a piece of scenery sticking upwards or fall into a hole. At the moment I am simply dividing the player's co-ordinates by the gridsize to find which vertex the player is on top of and it works well when the player is exactly over the corner of a triangle piece of terrain. However... How can I make it more accurate for the bits between the vertices? I get confused since they don't exist in my heightmap data, they're a product of the GPU trying to draw a triangle between three points. I can calculate the height of the point closest to the player, but not the space between them. I.e if the player is hovering over the centre of one of these 'quads', rather than over the corner vertex of one, how do I work out the height of the terrain below them? Later on I may want the player to slide down the slopes in the terrain.

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  • Bukkit inventory saving: crashing somewhere

    - by HcgRandon
    I'm working on a command for a bukkit plugin that lets you transfer worlds. In the section about saving the player's inventory, I'm getting a runtime error. My question is: Why is the error happening, and how can I prevent it? The plugin code public void savePlayerInv(Player p, World w){ File playerInvConfigFile = new File(plugin.getDataFolder() + File.separator + "players" + File.separator + p.getName(), "inventory.yml"); FileConfiguration pInv = YamlConfiguration.loadConfiguration(playerInvConfigFile); PlayerInventory inv = p.getInventory(); int i = 0; for (ItemStack stack : inv.getContents()) { //increment integer i++; String startInventory = w.getName() + ".inv." + Integer.toString(i); //save inv pInv.set(startInventory + ".amount", stack.getAmount()); pInv.set(startInventory + ".durability", Short.toString(stack.getDurability())); pInv.set(startInventory + ".type", stack.getTypeId()); //pInv.set(startInventory + ".enchantment", stack.getEnchantments()); //TODO add enchant saveing } i = 0; for (ItemStack armor : inv.getArmorContents()){ i++; String startArmor = w.getName() + ".armor." + Integer.toString(i); //save armor pInv.set(startArmor + ".amount", armor.getAmount()); pInv.set(startArmor + ".durability", armor.getDurability()); pInv.set(startArmor + ".type", armor.getTypeId()); //pInv.set(startArmor + ".enchantment", armor.getEnchantments()); } //save exp if (p.getExp() != 0) { pInv.set(w.getName() + ".exp", p.getExp()); } } The offending line The stack trace complains about line 130, which is this line. pInv.set(startInventory + ".amount", stack.getAmount()); The stack trace 2012-03-21 13:23:25 [SEVERE] null org.bukkit.command.CommandException: Unhandled exception executing command 'wtp' in plugin Needs v1.0 at org.bukkit.command.PluginCommand.execute(PluginCommand.java:42) at org.bukkit.command.SimpleCommandMap.dispatch(SimpleCommandMap.java:166) at org.bukkit.craftbukkit.CraftServer.dispatchCommand(CraftServer.java:461) at net.minecraft.server.NetServerHandler.handleCommand(NetServerHandler.java:818) at net.minecraft.server.NetServerHandler.chat(NetServerHandler.java:778) at net.minecraft.server.NetServerHandler.a(NetServerHandler.java:761) at net.minecraft.server.Packet3Chat.handle(Packet3Chat.java:33) at net.minecraft.server.NetworkManager.b(NetworkManager.java:229) at net.minecraft.server.NetServerHandler.a(NetServerHandler.java:112) at net.minecraft.server.NetworkListenThread.a(NetworkListenThread.java:78) at net.minecraft.server.MinecraftServer.w(MinecraftServer.java:554) at net.minecraft.server.MinecraftServer.run(MinecraftServer.java:452) at net.minecraft.server.ThreadServerApplication.run(SourceFile:490) Caused by: java.lang.NullPointerException at com.devoverflow.improved.needs.commands.CommandWorldtp.savePlayerInv(CommandWorldtp.java:130) at com.devoverflow.improved.needs.commands.CommandWorldtp.onCommand(CommandWorldtp.java:60) at org.bukkit.command.PluginCommand.execute(PluginCommand.java:40) ... 12 more

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  • Low CPU/Memory/Memory-bandwith Pathfinding (maybe like in Warcraft 1)

    - by Valmond
    Dijkstra and A* are all nice and popular but what kind of algorithm was used in Warcraft 1 for pathfinding? I remember that the enemy could get trapped in bowl-like caverns which means there were (most probably) no full-path calculations from "start to end". If I recall correctly, the algorithm could be something like this: A) Move towards enemy until success or hitting a wall B) If blocked by a wall, follow the wall until you can move towards the enemy without being blocked and then do A) But I'd like to know, if someone knows :-) [edit] As explained to Byte56, I'm searching for a low cpu/mem/mem-bandwidth algo and wanted to know if Warcraft had some special secrets to deliver (never seen that kind of pathfinding elsewhere), I hope that that is more concordant with the stackexchange rules.

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  • 2d ball collision code problem XNA, over accelerated balls and stick together sometimes. help please? [closed]

    - by Sivan
    public static void Collision(Ball ball1, Ball ball2) { Vector3 x = new Vector3((ball1.BallPosition.X - ball2.BallPosition.X), (ball1.BallPosition.Y - ball2.BallPosition.Y), 0); x.Normalize(); Vector3 v1 = new Vector3(ball1.Speed, 0); float x1 = Vector3.Dot(x, v1); Vector3 v1x = x * x1; Vector3 v1y = v1 - v1x; x = -x; Vector3 v2 = new Vector3(ball2.Speed, 0); float x2 = Vector3.Dot(x, v2); Vector3 v2x = x * x2; Vector3 v2y = v2 - v2x; float m1 = 12, m2 = 4; float combinedMass = m1 + m2; Vector3 newVelA = (v1x * ((m1 - m2) / combinedMass)) + (v2x * ((2f * m2) / combinedMass)) + v1y; Vector3 newVelB = (v1x * ((2f * m1) / combinedMass)) + (v2x * ((m2 - m1) / combinedMass)) + v2y; ball1.Speed = new Vector2(newVelA.X, newVelA.Y); ball2.Speed = new Vector2(newVelB.X,newVelB.Y ); }

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  • Costs/profit of/when starting an indie company

    - by Jack
    In short, I want to start a game company. I do not have much coding experience (just basic understanding and ability to write basic programs), any graphics design experience, any audio mixing experience, or whatever else technical. However, I do have a lot of ideas, great analytical skills and a very logical approach to life. I do not have any friends who are even remotely technical (or creative in regards to games for that matter). So now that we've cleared that up, my question is this: how much, minimally, would it cost me to start such a company? I know that a game could be developed in under half a year, which means it would have to operate for half a year prior, and that's assuming that the people working on the first project do their jobs good, don't leave game breaking bugs, a bunch of minor bugs, etc.. So how much would it cost me, and what would be the likely profit in half a year? I'm looking at minimal costs here, as to do it, I would have to sell my current apartment and buy a new, smaller one, pay taxes, and likely move to US/CA/UK to be closer to technologically advanced people (and be able to speak the language of course). EDIT: I'm looking at a small project for starters, not a huge AAA title.

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  • Nice function for "rolling score up"?

    - by bobobobo
    I'm adding to the player's score, and I'm using a per-frame formula like: int score, displayedScore ;// score is ACTUAL score player has, // displayedScore is what is shown this frame to the player // (the creeping/"rolling" number) float disparity = score - displayedScore ; int d = disparity * .1f ; // add 1/10 of the difference, if( !d ) d = signum( disparity ) ; // last 10 go by 1's score += d ; Where inline int signum( float val ){ if( val > 0 ) return 1 ; else if( val < 0 ) return -1 ; else return 0 ; } So, it kind of works where it makes big changes rapidly, then it creeps in the last few one at a time. But I'm looking for better (or possibly well known?) score-creeping functions. Any one?

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  • Deleting a game object causing an access violation

    - by Balls
    I tried doing this but it cause an access violation. void GameObjectFactory::Update() { for( std::list<GameObject*>::iterator it=gameObjectList.begin() ..... (*it)->Update(); } void Bomb::Update() { if( time == 2.0f ) { gameObjectFactory->Remove( this ); } } void GameObjectFactory::Remove( ... ) { gameObjectList.remove( ... ); } My thoughts would be to mark the object to be dead then let the factory handle it the on next frame for deletion. Is it the best and fastest way? What do you think?

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  • Gui not showing when accessing AudioSource.Volume

    - by Lautaro
    I have A GuiManager class A SoundManager with 2 AudioSources SfxPlayer is created in the inspector on the same object as SoundManager MusicPlayer is created programatically within the SoundManager If i from anywhere in the GuiManager access the volume of MusicPlayer then all the Gui dissapears. Nothing is shown, not even the start menu. I dont get any errors or exceptions. I dont have any Try Catch statements. Anyone knows whats up?

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  • What are the pros and cons of non-unique display names?

    - by Davy8
    I know of at least big title game (Starcraft II) that doesn't require unique display names, so it would seem like it can work in at least some circumstance. Under what situations does allowing non-unique display names work well? When does it not work well? Does it come down to whether or not impersonation of someone else is a problem? The reasons I believe it works for Starcraft II is that there isn't any kind of in-game trading of virtual goods and other than "for kicks" there isn't much incentive to impersonate someone else in the game. There's also ladder rankings so even trying to impersonate a pro is easily detectable unless you're on a similar skill level. What are some other cases where it makes sense to specifically allow or disallow duplicate display names?

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  • Including Microsoft.XNA.Framework.Input.Touch in a project?

    - by steven_desu
    So after running through tutorials by both Microsoft and www.xnadevelopment.com I feel very confident in my ability to get to work on my first game using the XNA Framework. I've manipulated sprites, added audio, changed game states, and even went a step further to apply the knowledge I had and figure out how to make animations and basic 2-dimensional physics (including impulses, force, acceleration, and speed calculations) But then shortly into the project I hit a curious bump that I've been unable to figure out. In wanting to implement menus, pause screens, and several different aspects of play (a "pre-level" prep screen, the level itself, and a screen after the level to review how well you did) I took a look at Microsoft's Game State Management sample. I understood the concept, although it was admittedly quite a lot to take in. Not wanting to recreate the entire concept by scratch (after all- what purpose would that serve?) I tried copying and pasting the sample code into my own ScreenManager class (as well as InputState and GameScreen classes) to try and borrow their ingenuity. When I did this, however, my project stopped compiling. I was getting the following error: The type or namespace name 'Touch' does not exist in the namespace 'Microsoft.Xna.Framework.Input' (are you missing an assembly reference?) Having read through their sample code already, I realized that this namespace and every function and class within it could be safely ripped from the code without losing functionality. It's a namespace simply for integrating with touchscreen devices (presumably Windows Phone 7, but maybe also tablets). But then I began to wonder- how come Microsoft's sample compiled but mine didn't? I copied their code exactly so there must be a setting somewhere that I need to change in Visual Studio in order to correct this. I tried creating a new project as a Windows Phone 7 game rather than a Windows game, however that only forced it to compile to a Windows Phone emulator and denied me the ability to change the resolution and other features which I clearly had the power to do in the sample code. So my question is simple - how do I properly use the namespace Microsoft.XNA.Framework.Input.Touch?

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  • Architectural advice - websockets javascript/php integration

    - by Ewan Vaentine
    Myself and a friend have started making a game, he's likely to be using impact.js for the user interaction etc, but we need multiplayer functionality so some form of websockets for TCP connections etc. So we were thinking impact.js into socket.io and node.js. However, user accounts, ecommerce, session handling and social media integration will all be handled with Codeigniter (PHP), my question is, is it wise to have node.js running in parallel with Codeigniter, or if this is even possible? If not, if you were to create a multiplayer online game utilising ecomms to buy credits and user accounts, how would you go about this from a structural position and what engines/frameworks would you recommend? I'm new to this site so I apologise in advance if I'm posting something inappropriate. Cheers, Ewan

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  • Entiity System with C++

    - by Dono
    I'm working on a game engine using the Entity System and I have some questions. How i see Entity System : Components : A class with attributs, set and get. Sprite Physicbody SpaceShip ... System : A class with a list of components. (Component logic) EntityManager Renderer Input Camera ... Entity : Just a empty class with a list of components. What i've done : Currently, i've got a program who allow me to do that : // Create a new entity/ Entity* entity = game.createEntity(); // Add some components. entity->addComponent( new TransformableComponent() ) ->setPosition( 15, 50 ) ->setRotation( 90 ) ->addComponent( new PhysicComponent() ) ->setMass( 70 ) ->addComponent( new SpriteComponent() ) ->setTexture( "name.png" ) ->addToSystem( new RendererSystem() ); My questions Did the system stock a list of components or a list of entities ? In the case where I stock a list of entities, I need to get the component of this entities on each frame, that's probably heavy isn't it ? Did the system stock a list of components or a list of entities ? In the case where I stock a list of entities, I need to get the component of this entities on each frame, that's probably heavy isn't it ?

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  • GameStateManagement and inputs not being recognized

    - by Dave Voyles
    EDIT: I've removed a bit of code from the input class to make this more readable, and updated my StartScreen class, which is now at the bottom. I have the same issues though, but they are explained in my comments on the bottom of this page. It won't let me paste my additional code here (the format comes out crazy), so I've linked to pastebin with the code pastebin I've been trying to implement the MS provided GameStateManagement sample with my game, but it has proven a bit difficult. Really, I'm using Oneksoft's Starter Kit, which uses the MS provided sample, so they are identical, except for my splash screen. I'm able to get the splash screen to launch, where it informs the player to press A to advance the screen, but this doesn't seem to accept any of my inputs. I’ve also added Console.Writeline(“Pressing A”) under the IsMenuPressed method in Input.cs to verify that it is getting called, but for some reason it is constantly spamming my log, rather than just appearing each time I press it. Not sure why this is happening. I have a bit too much code to post it all here, so I’ve attached a link to my .rar with my classes, but I’ll also leave a bit here which I thinkmay be applicable. https://www.dropbox.com/sh/6ek4uru2jc2ch0k/JTeBWN_3PQ What do you guys think the issue is? namespace Pong { public class Input { public const int MaxInputs = 4; public readonly KeyboardState[] CurrentKeyboardState; public readonly GamePadState[] CurrentGamePadState; public KeyboardState[] LastKeyboardState; public GamePadState[] LastGamePadState; public readonly bool[] GamePadWasConnected; public Input() { // Get input state CurrentKeyboardState = new KeyboardState[MaxInputs]; CurrentGamePadState = new GamePadState[MaxInputs]; // Preserving last states to check for isKeyUp events LastKeyboardState = CurrentKeyboardState; LastGamePadState = CurrentGamePadState; } /// <summary> /// Checks for a "menu select" input action. /// The controllingPlayer parameter specifies which player to read input for. /// If this is null, it will accept input from any player. When the action /// is detected, the output playerIndex reports which player pressed it. /// </summary> public bool IsMenuSelect(PlayerIndex? controllingPlayer, out PlayerIndex playerIndex) { Console.WriteLine("Pressing A"); return IsNewKeyPress(Keys.Space, controllingPlayer, out playerIndex) || IsNewKeyPress(Keys.Enter, controllingPlayer, out playerIndex) || IsNewButtonPress(Buttons.A, controllingPlayer, out playerIndex) || IsNewButtonPress(Buttons.Start, controllingPlayer, out playerIndex); } /// <summary> /// Checks for a "menu cancel" input action. /// The controllingPlayer parameter specifies which player to read input for. /// If this is null, it will accept input from any player. When the action /// is detected, the output playerIndex reports which player pressed it. /// </summary> public bool IsMenuCancel(PlayerIndex? controllingPlayer, out PlayerIndex playerIndex) { return IsNewKeyPress(Keys.Escape, controllingPlayer, out playerIndex) || IsNewButtonPress(Buttons.B, controllingPlayer, out playerIndex) || IsNewButtonPress(Buttons.Back, controllingPlayer, out playerIndex); }

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  • Abstract skill/talent system implementation

    - by kiliki
    I've been making small 2D games for about 3 years now (XNA and more recently LWJGL/Slick2D). My latest idea would involve some form of "talent tree" system in a real time game. I've been wracking my brain but can't think of a structure to hold a talent. Something like "Your melee attack is an instant kill if behind the target" I'd like to come up with an abstract object rather than putting random conditionals into other methods. I've solved some relatively complex problems before but I don't even know where to begin with this one. Any help would be appreciated - Java, pseudocode or general concepts are all great.

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  • How to obtain window handle in SDL 2.0.3

    - by Diorthotis
    I need to obtain the handle of the window for SDL 2.0.3. I got the suggestion to use info.window after initializing SDL and filling the info variable with data by calling SDL_GetWindowWMInfo(); included in the header file SDL_syswm.h. My compiler (visual studio 2008 professional edition) gives the following error: 226) : error C2039: 'window' : is not a member of 'SDL_SysWMinfo' 1 include\sdl_syswm.h(173) : see declaration of 'SDL_SysWMinfo' Any help appreciated. Thanks. Nevermind, I needed to use "info.info.win.window". That seems a bit redundant, but whateves.

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  • Calculating the rotational force of a 2D sprite

    - by Jon
    I am wondering if someone has an elegant way of calculating the following scenario. I have an object of (n) number of squares, random shapes, but we will pretend they are all rectangles. We are dealing with no gravity, so consider the object in space, from a top down perspective. I am applying a force to the object at a specific square (as illustrated below). How do I calculate the rotational angle, based on the force being applied, at the location being applied. If applied in the center square, it would go straight. How should it behave the further I move from the center? How do I calculate the rotational velocity?

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