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  • Ease Rotate RigidBody2D toward arbitrary angle

    - by Plastic Sturgeon
    I'm trying to make a rigidbody2D circle return to an orientation after a collision. But there is a weird behavior I do not expect - it always orients to the same direction. This is what I call in FixedUpdate(): rotationdifference = -halfPI + rigidbody2D.rotation; rigidbody2D.AddTorque (rotationdifference * ease); I would expect this would rotate 90 degrees (1/2 Pi Radians) off of the neutral axis. But it does not. In fact it performs exactly the same as: rotationdifference = rigidbody2D.rotation; rigidbody2D.AddTorque (rotationdifference * ease); What is going on? How would I be able to set an angle I want it to ease towards, and then have it ease towards it when its not colliding with some other force?

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  • Channelling an explosion along a narrow passage

    - by finnw
    I am simulating explosions in a 2D maze game. If an explosion occurs in an open area, it covers a circular region (this is the easy bit.) However if an explosion occurs in a narrow passage (i.e narrower than the blast range) then it should be "compressed", so that it goes further and also it should go around corners. Ultimately, unless it is completely boxed-in, then it should cover a constant number of pixels, spreading in whatever direction is necessary to reach this total area. I have tried using a shortest-path algorithm to pick the nearest N pixels to the origin avoiding walls, but the effect is exaggerated - the blast travels around corners too easily, making U-turns even when there is a clear path in another direction. I don't know whether this is realistic or not but it is counter-intuitive to players who assume that they can hide around a corner and the blast will take the path of least resistance in a different direction. Is there a well-known (and fast) algorithm for this?

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  • "Super meatboy"-ish replay

    - by Ron
    I'm making a platformer built from mini-levels - and I want to create a sort of a replay of all the player tries that the player did for the level. My question is - what is the best way to record the player's actions in-game, so that I could replay them later when he finishes the level. I thought about recording only the player's input and replay them later on, each on a clone of the player. The problem I have with this is with dynamic obstacles (that could be moved around) - if one clone moves them, it throws the simulation off for the rest of the clones. So then I thought about recording every frame the X/Y of the player, and then just replay it - but that seems it could cause a major memory leak and very ineffective. So - does anyone have any ideas? :)

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  • Unity falling body pendulum behaviour

    - by user3447980
    I wonder if someone could provide some guidance. Im attempting to create a pendulum like behaviour in 2D space in Unity without using a hinge joint. Essentially I want to affect a falling body to act as though it were restrained at the radius of a point, and to be subject to gravity and friction etc. Ive tried many modifications of this code, and have come up with some cool 'strange-attractor' like behaviour but i cannot for the life of me create a realistic pendulum like action. This is what I have so far: startingposition = transform.position; //Get start position newposition = startingposition + velocity; //add old velocity newposition.y -= gravity * Time.deltaTime; //add gravity newposition = pivot + Vector2.ClampMagnitude(newposition-pivot,radius); //clamp body at radius??? velocity = newposition-startingposition; //Get new velocity transform.Translate (velocity * Time.deltaTime, Space.World); //apply to transform So im working out the new position based on the old velocity + gravity, then constraining it to a distance from a point, which is the element in the code i cannot get correct. Is this a logical way to go about it?

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  • Box2D platformer movement. Are joints a good idea?

    - by Romeo
    So i smashed my brains trying to make my character move. As i wanted later in the game to add explosions and bullets it wasn't a good idea to mess with the velocity and the forces/impulses didn't work as i expected so something stuck in my mind: Is it a good idea to put at his bottom a wheel(circle) which is invisible to the player that will do the movement by rotation? I will attach this to my main body with a revolute joint but i don't really know how to make the main body and wheel body to don't collide one with each other since funny things can happen. What is your oppinion?

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  • Initial direction of intersection between two moving vehicles?

    - by Larolaro
    I'm working with a bit of projectile prediction for my AI and I'm looking for some ideas, any input? If a blue vehicle is moving in a direction at a constant speed of X m/s and a stationary orange vehicle has a rocket that travels Y m/s, which initial direction would the orange vehicle have to fire the rocket for it to hit the blue vehicle at the earliest time in the future? Thanks for reading!

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

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

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  • Can these game be fully coded in html5/javascript?

    - by RufioLJ
    I mean the mechanics of the game. Would it be possible? -Pokemon GBA series, rendering the world would be easy, but what about battle mechanics? -MapleStory, after seen dragonbound.net which is an identical copy of Gunbound I would think it's rather possible, but I'm still not sure if javascript can handle all the mechanics of the world. It would be heavy on resources I guess? I'm asking this because I'm really interested in html5 game develop(I really think in a future will destroy flash on game dev ground). I want to have an idea of how far games developed with the html5/javascript technology can go. I got especially inspired by dragonbound. I really think it pushes htmlt/javascript to the limits (game dev).

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  • Debugging Minimum Translation Vector

    - by SyntheCypher
    I implemented the minimum translation vector from codezealot's tutorial on SAT (Separating Axis Theorem) but I'm having an issue I can't quite figure out. Here's the example I have: As you can see in top and bottom left images regardless of the side the of the green car which red car is penetrating the MTV for the red car still remains as a negative number also here is the same example when the front of the red car is facing the opposite direction the number will always be positive. When the red car is past the half way through the green car it should switch polarity. I thought I'd compensated for this in my code, but apparently not either that or it's a bug I can find. Here is my function for finding and returning the MTV, any help would be much appreciated: Code

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  • Projected trajectory of a vehicle?

    - by mac
    In the game I am developing, I have to calculate if my vehicle (1) which in the example is travelling north with a speed V, can reach its target (2). The example depict the problem from atop: There are actually two possible scenarios: V is constant (resulting in trajectory 4, an arc of a circle) or the vehicle has the capacity to accelerate/decelerate (trajectory 3, an arc of a spiral). I would like to know if there is a straightforward way to verify if the vehicle is able to reach its target (as opposed to overshooting it). I'm particularly interested in trajectory #3, as I the only thing I could think of is integrating the position of the vehicle over time. EDIT: of course the vehicle has always the capacity to steer, but the steer radius vary with its speed (think to a maximum lateral g-force). EDIT2: also notice that (as most of the vehicles in real life) there is a minimum steering radius for the in-game ones too).

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  • How are trajectories calculated and transmitted to other players in Multi-Player ?

    - by giulio
    I play alot of COD4. And can see tracers for gunfire, missles, care packages fall from helicopters etc. There is alot of activity. I am curious to know the algorithm (at a high level) that manages all this action when you have 20 people on a map shooting each other to death ? This question touches on the subject but doesn't ask for a more in-depth answer as to how you the developers go about calculating and transmitting movement and collision detection for projectiles, be it missles/bullets or any other object that is flying through the air in real-time.

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  • Get collision details from Rectangle.Intersects()

    - by Daniel Ribeiro
    I have a Breakout game in which, at some point, I detect the collision between the ball and the paddle with something like this: // Ball class rectangle.Intersects(paddle.Rectangle); Is there any way I can get the exact coordinates of the collision, or any details about it, with the current XNA API? I thought of doing some basic calculations, such as comparing the exact coordinates of each object on the moment of the collision. It would look something like this: // Ball class if((rectangle.X - paddle.Rectangle.X) < (paddle.Rectangle.Width / 2)) // Collision happened on the left side else // Collision happened on the right side But I'm not sure this is the correct way to do it. Do you guys have any tips on maybe an engine I might have to use to achieve that? Or even good coding practices using this method?

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  • Unable to find good parameters for behavior of a puck in Farseer

    - by Krumelur
    EDIT: I have tried all kinds of variations now. The last one was to adjust the linear velocity in each step: newVel = oldVel * 0.9f - all of this including your proposals kind of work, however in the end if the velocity is little enough, the puck sticks to the wall and slides either vertically or horizontally. I can't get rid of this behavior. I want it to bounce, no matter how slow it is. Retitution is 1 for all objects, Friction is 0 for all. There is no gravity. What am I possibly doing wrong? In my battle to learn and understand Farseer I'm trying to setup a simple Air Hockey like table with a puck on it. The table's border body is made up from: Vertices aBorders = new Vertices( 4 ); aBorders.Add( new Vector2( -fHalfWidth, fHalfHeight ) ); aBorders.Add( new Vector2( fHalfWidth, fHalfHeight ) ); aBorders.Add( new Vector2( fHalfWidth, -fHalfHeight ) ); aBorders.Add( new Vector2( -fHalfWidth, -fHalfHeight ) ); FixtureFactory.AttachLoopShape( aBorders, this ); this.CollisionCategories = Category.All; this.CollidesWith = Category.All; this.Position = Vector2.Zero; this.Restitution = 1f; this.Friction = 0f; The puck body is defined with: FixtureFactory.AttachCircle( DIAMETER_PHYSIC_UNITS / 2f, 0.5f, this ); this.Restitution = 0.1f; this.Friction = 0.5f; this.BodyType = FarseerPhysics.Dynamics.BodyType.Dynamic; this.LinearDamping = 0.5f; this.Mass = 0.2f; I'm applying a linear force to the puck: this.oPuck.ApplyLinearImpulse( new Vector2( 1f, 1f ) ); The problem is that the puck and the walls appear to be sticky. This means that the puck's velocity drops to zero to quickly below a certain velocity. The puck gets reflected by the walls a couple of times and then just sticks to the left wall and continues sliding downwards the left wall. This looks very unrealistic. What I'm really looking for is that a puck-wall-collision does slow down the puck only a tiny little bit. After tweaking all values left and right I was wondering if I'm doing something wrong. Maybe some expert can comment on the parameters?

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  • 2D Collision in Canvas - Balls Overlapping When Velocity is High

    - by kushsolitary
    I am doing a simple experiment in canvas using Javascript in which some balls will be thrown on the screen with some initial velocity and then they will bounce on colliding with each other or with the walls. I managed to do the collision with walls perfectly but now the problem is with the collision with other balls. I am using the following code for it: //Check collision between two bodies function collides(b1, b2) { //Find the distance between their mid-points var dx = b1.x - b2.x, dy = b1.y - b2.y, dist = Math.round(Math.sqrt(dx*dx + dy*dy)); //Check if it is a collision if(dist <= (b1.r + b2.r)) { //Calculate the angles var angle = Math.atan2(dy, dx), sin = Math.sin(angle), cos = Math.cos(angle); //Calculate the old velocity components var v1x = b1.vx * cos, v2x = b2.vx * cos, v1y = b1.vy * sin, v2y = b2.vy * sin; //Calculate the new velocity components var vel1x = ((b1.m - b2.m) / (b1.m + b2.m)) * v1x + (2 * b2.m / (b1.m + b2.m)) * v2x, vel2x = (2 * b1.m / (b1.m + b2.m)) * v1x + ((b2.m - b1.m) / (b2.m + b1.m)) * v2x, vel1y = v1y, vel2y = v2y; //Set the new velocities b1.vx = vel1x; b2.vx = vel2x; b1.vy = vel1y; b2.vy = vel2y; } } You can see the experiment here. The problem is, some balls overlap each other and stick together while some of them rebound perfectly. I don't know what is causing this issue. Here's my balls object if that matters: function Ball() { //Random Positions this.x = 50 + Math.random() * W; this.y = 50 + Math.random() * H; //Random radii this.r = 15 + Math.random() * 30; this.m = this.r; //Random velocity components this.vx = 1 + Math.random() * 4; this.vy = 1 + Math.random() * 4; //Random shade of grey color this.c = Math.round(Math.random() * 200); this.draw = function() { ctx.beginPath(); ctx.fillStyle = "rgb(" + this.c + ", " + this.c + ", " + this.c + ")"; ctx.arc(this.x, this.y, this.r, 0, Math.PI*2, false); ctx.fill(); ctx.closePath(); } }

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  • Using box2d DrawDebugData with multi layer scene ?

    - by Mr.Gando
    In my Game, a Scene is composed by several layers. Each layer has different camera transformations. This way I can have a layer at z=3 (GUI), z=2 (Monsters), z=1 (scrolling background), and this 3 layers compose my whole Scene. My render loop looks something like: renderLayer() applyTransformations() renderVisibleEntities() renderChildLayers() end If I call DrawDebugData() in the render loop, the whole b2world debug data will be rendered once for each layer in my scene, this generates a mess, because the "debug boxes" get duplicated, some of them get the camera transformations applied and some of them don't, etc. What I would like to do, would be to make DrawDebugData to draw only certain debug boxes. In that way, I could call something like b2world->DrawDebugDataForLayer(int layer_id) and call that on each layer like : renderLayer() applyTransformations() renderVisibleEntities() //Only render my corresponding layer debug data b2world->DrawDebugDataForLayer(layer_id) renderChildLayers() end Is there a way to subclass b2World so I could add this functionality ( specific to my game ) ? If not, what would be the best way to achieve this (Cocos2d uses a similar scene graph approach and box2d, but I'm not sure if debugDraw works in Cocos2d... ) Thanks

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  • Basic collision direction detection on 2d objects

    - by Osso Buko
    I am trying to develop a platform game for Android by using ANdroid GL Engine (ANGLE). And I am having trouble with collision detection. I have two objects which is shaped as rectangular. And no change in rotation. Here is a scheme of attributes of objects. What i am trying to do is when objects collide they block each other's movement on that direction. Every object has 4 boolean (bTop, bBottom, bRight, bLeft). For example when bBottom is true object can't advance on that direction. I came up with a solution but it seems it only works on one dimensional. Bottom and top or right and left. public void collisionPlatform (MyObject a, MyObject b) { // first obj is player and second is a wall or a platform Vector p1 = a.mPosition; // p1 = middle point of first object Vector d1 = a.mPosition2; // width(mX) and height of first object Vector mSpeed1 = a.mSpeed; // speed vector of first object Vector p2 = b.mPosition; // p1 = middle point of second object Vector d2 = b.mPosition2; // width(mX) and height of second object Vector mSpeed2 = b.mSpeed; // speed vector of second object float xDist, yDist; // distant between middle of two object float width , height; // this is average of two objects measurements width=(width1+width2)/2 xDist=(p1.mX - p2.mX); // calculate distance // if positive first object is at the right yDist=(p1.mY - p2.mY); // if positive first object is below width = d1.mX + d2.mX; // average measurements calculate height = d1.mY + d2.mY; width/=2; height/=2; if (Math.abs(xDist) < width && Math.abs(yDist) < height) { // Two object is collided if(p1.mY>p2.mY) { // first object is below second one a.bTop = true; if(a.mSpeed.mY<0) a.mSpeed.mY=0; b.bBottom = true; if(b.mSpeed.mY>0) b.mSpeed.mY=0; } else { a.bBottom = true; if(a.mSpeed.mY>0) a.mSpeed.mY=0; b.bTop = true; if(b.mSpeed.mY<0) b.mSpeed.mY=0; } } As seen in my code it simply will not work. when object comes from right or left it doesn't work. I tried couple of ways other than this one but none worked. I am guessing right method will include mSpeed vector. But I have no idea how to do it. I really appreciate if you could help. Sorry for my bad english.

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  • How can I simulate a rigid body bounced from a wall in 3D world?

    - by HyperGroups
    How can I simulate a rigid sword bounced from a wall and hit the ground (like in physical world)? I want to use this for a simple animation. I can detect the figure and the size of the sword (maybe needed in doing bounce). Rotation can be controlled by quaternions/matrix/euler angles. It should turn the head and do rotations and fly to the ground. How can I simulate this physical process? Maybe what I need is an equation and some parameters? I need these data, and would combine them into my movie file, I use Mathematica to do the thing that generate the movie file(If I have the data, I can also export it into a 3DSMax script for example).

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  • Sensor based vs. AABB based collision

    - by Hillel
    I'm trying to write a simple collision system, which will probably be primarily used for 2D platformers, and I've been planning out an AABB system for a few weeks now, which will work seamlessly with my grid data structure optimization. I picked AABB because I want a simple system, but I also want it to be perfect. Now, I've been hearing a lot lately about a different method to handle collision, using sensors, which are placed in the important parts of the entity. I understand it's a good way to handle slopes, better than AABB collision. The thing is, I can't find a basic explanation of how it works, let alone a comparison of it and the AABB method. If someone could explain it to me, or point me to a good tutorial, I'd very much appreciate it, and also a comparison of the advantages and disadvantages of the two techniques would be nice.

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  • techniques for displaying vehicle damage

    - by norca
    I wonder how I can displaying vehicle damage. I am talking about an good way to show damage on screen. Witch kind of model are common in games and what are the benefits of them. What is state of the art? One way i can imagine is to save a set of textures (normal/color/lightmaps, etc) to a state of the car (normal, damage, burnt out) and switch or blending them. But is this really good without changing the model? Another way i was thinking about is preparing animations for different locations on my car, something like damage on the front, on the leftside/rightside or on the back. And start blending the specific animation. But is this working with good textures? Whats about physik engines? Is it usefull to use it for deforming vertexdata? i think losing parts of my car (doors, sirens, weapons) can looks really nice. my game is a kind of rts in a top down view. vehicles are not the really most importend units (its no racing game), but i have quite a lot in. thx for help

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  • Resolving collisions between dynamic game objects

    - by TheBroodian
    I've been building a 2D platformer for some time now, I'm getting to the point where I am adding dynamic objects to the stage for testing. This has prompted me to consider how I would like my character and other objects to behave when they collide. A typical staple in many 2D platformer type games is that the player takes damage upon touching an enemy, and then essentially becomes able to pass through enemies during a period of invulnerability, and at the same time, enemies are able to pass through eachother freely. I personally don't want to take this approach, it feels strange to me that the player should receive arbitrary damage for harmless contact to an enemy, despite whether the enemy is attacking or not, and I would like my enemies' interactions between each other (and my player) to be a little more organic, so to speak. In my head I sort of have this idea where a game object (player, or non player) would be able to push other game objects around by manner of 'pushing' each other out of one anothers' bounding boxes if there is an intersection, and maybe correlate the repelling force to how much their bounding boxes are intersecting. The problem I'm experiencing is I have no idea what the math might look like for something like this? I'll show what work I've done so far, it sort of works, but it's jittery, and generally not quite what I would pass in a functional game: //Clears the anti-duplicate buffer collisionRecord.Clear(); //pick a thing foreach (GameObject entity in entities) { //pick another thing foreach (GameObject subject in entities) { //check to make sure both things aren't the same thing if (!ReferenceEquals(entity, subject)) { //check to see if thing2 is in semi-near proximity to thing1 if (entity.WideProximityArea.Intersects(subject.CollisionRectangle) || entity.WideProximityArea.Contains(subject.CollisionRectangle)) { //check to see if thing2 and thing1 are colliding. if (entity.CollisionRectangle.Intersects(subject.CollisionRectangle) || entity.CollisionRectangle.Contains(subject.CollisionRectangle) || subject.CollisionRectangle.Contains(entity.CollisionRectangle)) { //check if we've already resolved their collision or not. if (!collisionRecord.ContainsKey(entity.GetHashCode())) { //more duplicate resolution checking. if (!collisionRecord.ContainsKey(subject.GetHashCode())) { //if thing1 is traveling right... if (entity.Velocity.X > 0) { //if it isn't too far to the right... if (subject.CollisionRectangle.Contains(new Microsoft.Xna.Framework.Rectangle(entity.CollisionRectangle.Right, entity.CollisionRectangle.Y, 1, entity.CollisionRectangle.Height)) || subject.CollisionRectangle.Intersects(new Microsoft.Xna.Framework.Rectangle(entity.CollisionRectangle.Right, entity.CollisionRectangle.Y, 1, entity.CollisionRectangle.Height))) { //Find how deep thing1 is intersecting thing2's collision box; float offset = entity.CollisionRectangle.Right - subject.CollisionRectangle.Left; //Move both things in opposite directions half the length of the intersection, pushing thing1 to the left, and thing2 to the right. entity.Velocities.Add(new Vector2(-(((offset * 4) * (float)gameTime.ElapsedGameTime.TotalMilliseconds)), 0)); subject.Velocities.Add(new Vector2((((offset * 4) * (float)gameTime.ElapsedGameTime.TotalMilliseconds)), 0)); } } //if thing1 is traveling left... if (entity.Velocity.X < 0) { //if thing1 isn't too far left... if (entity.CollisionRectangle.Contains(new Microsoft.Xna.Framework.Rectangle(subject.CollisionRectangle.Right, subject.CollisionRectangle.Y, 1, subject.CollisionRectangle.Height)) || entity.CollisionRectangle.Intersects(new Microsoft.Xna.Framework.Rectangle(subject.CollisionRectangle.Right, subject.CollisionRectangle.Y, 1, subject.CollisionRectangle.Height))) { //Find how deep thing1 is intersecting thing2's collision box; float offset = subject.CollisionRectangle.Right - entity.CollisionRectangle.Left; //Move both things in opposite directions half the length of the intersection, pushing thing1 to the right, and thing2 to the left. entity.Velocities.Add(new Vector2((((offset * 4) * (float)gameTime.ElapsedGameTime.TotalMilliseconds)), 0)); subject.Velocities.Add(new Vector2(-(((offset * 4) * (float)gameTime.ElapsedGameTime.TotalMilliseconds)), 0)); } } //Make record that thing1 and thing2 have interacted and the collision has been solved, so that if thing2 is picked next in the foreach loop, it isn't checked against thing1 a second time before the next update. collisionRecord.Add(entity.GetHashCode(), subject.GetHashCode()); } } } } } } } } One of the biggest issues with my code aside from the jitteriness is that if one character were to land on top of another character, it very suddenly and abruptly resolves the collision, whereas I would like a more subtle and gradual resolution. Any thoughts or ideas are incredibly welcome and helpful.

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  • 3d trajectory - calculate initial velocity

    - by Skoder
    Hey, I've got a 2D projectile code sample working, but would like to extend it to 3D. How would I calculate the initial velocity of the Z-axis? At the moment, I've got: initVel.X = (float)Math.Cos(45.0); initVel.Y = (float)Math.Sin(45.0); How would I convert this to work in 3D (and add the initial velocity for the Z-axis)? In my example, X is across, Y is up down and Z is going into the screen. I also normalize the vector and multiply it by the speed. Thanks

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  • Pseudo-magnet implementation with chipmunk

    - by Eimantas
    How should I go about implementing "natural" magnet on a certain body in chipmunk space? Context is of simple bodies lying in the space (think chessboard). When one of the figures is activated as a magnet - others should start moving towards it. Currently I'm applying force (cpBodyApplyForce)to the other figures with vector calculated towards the activated figure. However this doesn't really feel "natural". Are there any known algorithms for imitating magnets?

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  • Detect Open Space in Farseer

    - by Tom G
    I'm working on a 2D platformer using XNA and Farseer. I would like the player's character to be able to grab and climb up ledges. Detecting a collision between the player and the side of a wall is simple enough with the OnCollision delegate, but I have to admit I'm a bit stumped on how to detect that there's enough clearance for the PC to mount the ledge. Essentially, I want to ensure there's an appropriately sized rectangle above and to the left or right of the PC (depending on their direction) and I'm not sure how I would check for such a space. Any suggestions on how to determine there is nothing in the simulated world within some bounding rectangle?

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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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  • Bending of track in a racing game

    - by caius
    I am trying to create a small racing game in which the track would be modeled using a BSpline curve for the path's center line and directional vectors to define the 'bending' of the track at each point. My problem is that I don't know how to calculate the correct bending / slope of the curve, in such a way that it would be optimal or at least visually nice for a car to 'bend in the corner'. My idea was to use the direction of the 2nd derivatives of the curve, however while this approach looks fine for most of the track, there are points in which the 2nd derivative makes sharp 'twists' / very quick 180 degree flips. I also read about 'knots' of bsplines, but I don't know if such 'twist' in 2nd derivatives is a knot or knots are something else. Can you tell me that using a BSpline: 1. How could I calculate a visually nice bending of a track for a racing game? 2. Is it possible to do this by using some simple calculations of centripertal force / gravity? 3. Is it possible to do this by using 1st, 2nd and 3rd derivatives of the BSpline curve? I am not looking for the 'physically correct' bending angle for the track, I would just like to create something which is visually pleasing in a simple game. I am using a framework which has a built-in class for BSpline, including support for 1st, 2nd and 3rd derivatives of the curve.

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