Tagged Questions

Arithmetic, geometry, calculus, and all else which resolves the number-crunching necessary in a game. Math questions are those that deal with the formulae and calculations used by the game in various parts.

67 views

Trouble figuring out some attack/defense formulas. What should I change? [duplicate]

I'm working on something which requires a hunter to attack an animal. This is what I have so far. Attacker/Weapon POV Level - 1 to 50 Base - base attack level of the weapon Weapon Impact - ...
56 views

Get rotate angle using a formula

I am developing a game that is being played on a board with the top first tile having the coordinates [0,0], the next one has [0,1], second row has [1,0]... and so on (most likely this would be a ...
131 views

Direct3D Math, Yaw + Roll = Pitch?

I know this is an odd question, however I'm scripting for a game using DirectX9 and the only floating-point rotation 'functions' I have access to is Yaw(X) and Roll(Y) and I need the Pitch(Z) The ...
100 views

How to get the angle to an object from angle you are facing [duplicate]

I am making an creature simulator where the creatures have a neural net for a brain. One of the inputs to the net is the angle it has to travel to go to be facing the nearest piece of food. I can get ...
213 views

Normalizing the direction to check if able to move

i have a a room with 4 walls along the x and z axis respectively. My player who is in first person (therefore the camera) should have collision detection with these walls. I'm relatively new to this ...
149 views

Space Strategy Ship Movement Math

This is similar to a question I asked a while ago, but I phrased it so terribly so might as well start over. I am trying to implement ship movement in 3D space, but confined to a 2D plane at y=0 (see ...
1k views

Arc Length of Bezier Curves

I'm not sure if this is more of a math.stackexchange.com (or physics??) question, but here it is: How can I find out the distance traveled by a Bezier Curve? For example, the distance traveled by a ...
493 views

How can I maintain a rectangular formation when units are added or removed?

I've got bots in a rectangular formation with rows and columns. A problem arises when a bot is added or removed from the formation. When this happens, the bots have to rearrange themselves so that the ...
126 views

Implementing a time scale in game with fixed physics update

I'm currently putting together my game loop based on the "Fix Your Timestep" article at gafferongames.com. This is going fine, but I'm also trying to implement a 'time scale', i.e. a way to control ...
89 views

2D vector to Quaternion

I have a 2D vector (with only X and Y), and my engine only supports orientation through Quaternions. How do I translate a 2D vector to a quaternion? The X and Y represent the direction (so X = 0 ...
70 views

I would like to make an arm follow the sinus of the ball. When I add an absolute value to the ball (on the y axis) to get a more realistic bounce, the ball is going 2 times faster. How could I ask ...
962 views

Find the closest point along a rectangle, given an another point and direction

Given a rectangle, and a point with a vector direction towards the rectangle. How can I find the closest point on the outside of that rectangle to the point in question?
442 views

Isometric - precise screen coordinates to isometric

I'm trying to translate mouse coords to precise isometric coords (I can already find the tile the mouse is over, but I want it to be more precise). I've tried several different methods but I seem to ...
114 views

Display and Hide CCSprite with Genie effect

I am new at cocos2D. I started to learn cocos2D with simple game from http://www.raywenderlich.com/tutorials#cocos2d tutorial. Now I'm crazy with animation, so now i want to display CCSprite as OSX ...
117 views

Trying to convert as3 Matrix to C++ glm matrix

I am trying to convert a library called DragonBones to C++ Opengl which allows you to use Flash based skeletal animation. I'm almost done but I am running into a problem. I am trying to transform the ...
108 views

Precalculate the position of a rotating Aircraft

To start honestly, this question is probably mostly handling math. But thats only the road I tried to go and failed miserably, so maybe theres a much more simple way to do. Ok the game situation is ...
63 views

Need transform matrix to translate the center of the view to a custom position within the target texture

My problem is as follows: I want to use a single render target texture for drawing 16 viewports where I want to display the 16 different combinations of the marching squares algorithm with my 3D ...
88 views

Stereo 3D: drawing 2D elements at apparent screen depth

I'm developing an application making use of DirectX11's stereoscopic features. At such I am not relying on nVidia's automatic implementation. That means I have to replicate a way to render 2d elements ...
60 views

Surface normal to screen angle

I've been struggling to get this working. I simply wish to take a surface normal and convert it to a screen angle. As an example, assuming we're working with the highlighted surface on the sphere ...
103 views

Determining explosion radius damage - Circle to Rectangle 2D

One of the Cocos2D games I am working on has circular explosion effects. These explosion effects need to deal a percentage of their set maximum damage to all game characters (represented by ...
341 views

Procedural dungeon generation. No corridors, color key doors

I am curious how dungeons like the one in Runescape dungeoneering skill are generated. They basicaly have a 10x10 grid. So theres 100 rooms total. There's starting room and exit room. And each one are ...
153 views

Matrix multiplication - Scene Graphs

I wrote a MatrixStack class in C# to use in a SceneGraph. So, to get the world matrix for an object I am suposed to use: WorldMatrix = ParentWorld * LocalTransform But, in fact, it only works as ...
192 views

How to balance this Pokémon simulator metagame by feedback?

This is a Pokémon simulator where you build a team of 6 pokémon and battle with someone. Unfortunately, some Pokémon are stronger than others and only a few of the hundredth species are practical. I'm ...
84 views

Premultiplying matrices with Perspective destroys them

If I apply world_to_camera, perspective and camera_to_screen to my mesh, everything is okay. But if I premultiply given matrices (i.e. transform = world_to_camera * perpective * camera_to_screen) ...
89 views

Which is the right way to build a OpenGL Projection Matrix

This time I'm trying to learn the core of matrix transformations. I dont like the idea to using a Math library and dont understand what is hapening on background, because this I'm having some ...
145 views

Making Ball Fling in a Curve Direction

I was wondering how to figuring out how to slice a ball (banana kick) by flinging it curve-ways. However, according to the LibGDX's gesture listener, the method for flinging only focuses on a straight ...
649 views

Algorithm to shoot at a target in a 3d game

For those of you remembering Descent Freespace it had a nice feature to help you aim at the enemy when shooting non-homing missiles or lasers: it showed a crosshair in front of the ship you chased ...
97 views

Quaternion to direction vector - flipping

I've kinda solved this myself by adapting the Camera::setDirection code from OGRE to work for my need: Now I have the following code: Vector3 boneDir = getBoneWorldOrientation(mEntity, mHips) * ...
746 views

What is a good way to determine if a vector is between two other vectors?

I could operate with the angles, but I do not have the angles calculated yet (and would like to avoid having to do that). It would be possible to calculate and cache the local-coordinate-frame angles, ...
39 views

How do I fire a projectile at where an object will be located in the future? [duplicate]

I'm making a tower defense game where the towers are shooting projectiles at enemies. I do not want to make the projectiles homing, and I want to make sure that when a tower fires a projectile, it ...
129 views

Is this Rotation Matrix correct?

I'm having heavly troubles with setting up a View Matrix and a Projection Matrix. It simply doesnt work. So I think my problem is related to my rotationMatrix function. I'm using this tutorial to ...
108 views

How do I derive the angular movement for a craft

I have the regular (linear) motion implemented like this: class Craft{ ... Vector location, velocity, acceleration, angularVelocity, angularAcceleration; ... //the move class responsible for linear ...
79 views

Getting half plane direction relative from cam position

Im implementing certain Camera movements in my turn based games. I'm able to place and rotate the camera between two units that attack each other. However it will always move to the same "side". Which ...
310 views

Generate equal regions in a hex map

Taking for example large (X by Y) hex map, how can I divide the map into N regions of connected hexes to simulate countries? The goal is to generate a hex map that looks like a real life map with ...
123 views

How good do I have to be at Math to create a 3D game using three.js? [closed]

A question I've often had, how good at Math do I need to be to create 3 dimensional games? I get along with 2d games just fine. I understand everything I'm doing without problems after practise. ...
199 views

How to account for acceleration when aiming projectiles?

How do I aim a constant speed projectile to hit a target if there is a constant acceleration vector acting on it? (For example, the wind and gravity from Worms.)
88 views

Move from point a, to point b, and determine the accuracy

Let's say I have a circle at point a (0,0), and I wish to move it to point b (23,58), whatever, how can I accurately do this with a speed variation if I wanted. (I'm doing this in javascript). Every ...
305 views

Calculate object coordinates from window coordinates using inverse projection matrix

What I am trying to to is placing 3D Objects (A Sphere) in the world when I click there. I am using a perspective projection so the first step after calculating the canonical clip coordinates from ...
2k views

Determine arc-length of a Catmull-Rom spline

I have a path that is defined by a concatenation of Catmull-Rom splines. I use the static method Vector2.CatmullRom in XNA that allows for interpolation between points with a value going from 0 to 1. ...
3k views

How does UVW texture mapping work?

I'm trying to understand the mathematical theory behind UVW mapping. Can anyone explain me how UVW mapping works? Or at least provide me a pointer?
1k views

How can I make my score-based game addictive?

I need some ideas to make players interested in the game result. Otherwise, the player plays again to get high score. My game is a calculation game that measures the speed of calculations that the ...
274 views

D3DXMatrixDecompose gives different quaternion than D3DXQuaternionRotationMatrix

In trying to solve this problem, I tracked down the problem to the conversion of the rotation matrix to quaternion. In particular, consider the following matrix: -0.02099178 0.9997436 -0.008475631 0 ...
76 views

Opengl 3.2 Flickering after smooth animation?

Okay I am new to OpenGL I am getting an odd issue. I am performing rotation on a bunch of triangles on a scene graph. The rotation starts off really smooth everything is animating then much later you ...
389 views

make a sphere rolling on a roulette mesh stop at predetermined place

I have a roulette and a ball(sphere) placed on it. When the game begins the roulette spins. The spinning of the roulette and gravitational forces on the ball makes it roll along the 3d roulette mesh. ...
199 views

Matrix represents same rotation with different euler angles

I have Transform component storing it's rotation as Quaternion. Transform has set/getEulerAngles (rotation order oy, ox, oz). I want to rotate object in any direction but while testing I get ...
1k views

Random Vector within a cone [duplicate]

I'm looking to create a random vector within a cone given the radius (base). It feels like I've been traversing through many pages on the internet and still I'm no further forward to getting an ...
180 views

Heightmap implementation in javascript question, a 2D water heightmap

I have a height map function from GPU Gems 2 Chapter 18, where they're generating a set of B/W pixels from this equation: H(x,y,t) = Σi=0N h ( Axi x + Bxi,  Ayi y + Byi,  Ati x + ...
472 views

Quaternion Look At with Up vector

I have implemented a "look at" method for my screen elements and it almost works how I want it to work. The ScreenElement class uses a R3 Vector and a Quaternion to determine the position and ...