Mathematics questions deal with the arithmetic, geometry, calculus, formulae and other calculations used in the development of a game.

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How to transition between night and day

I am making a open-world project in Unity 4.5.5 and I do not know how to create a transition from day to night. The Legend of Zelda: Wind Waker HD has a great example of the transition between day and ...
2
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2answers
93 views

Calculating gameObjects hit by a directional light source

I am trying to figure out in my current game whether a gameObject is lit by a directional light or not. Below is my image inside the Unity game engine As my game runs around a Day/Night cycle, I ...
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1answer
48 views

3D Translations relative to 3D Rotations

I'm trying to program camera movement to be relative to camera rotation. (Forward is always forward, regardless of pitch, yaw, and roll) I want to be able to move forward, backward, left, right, up, ...
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1answer
32 views

using rperp or perp to find perpendicular of a vector

i have code local coordinate Vec2 velo = Vec2(100,0); Vec2 Heading = velo.getNormalized(); Vec2 side = Heading.perp(); Vec2 trans = Vec2(12,12); then i can generate toWorldCoordinate for trans ...
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1answer
27 views

Determining if a Point3D passed another

I have 2 points A and B in 3D space (say of type Point3D). B needs to travel towards A and then stop either when it reached or passed B. The direction between the two points is known (can be easily ...
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0answers
68 views

Creating a arc path connecting two GameObjects in Unity

I am working on a game on a spherical surface which first of all is a big challenge in itself. I want to create a path on an arc which connects two points ( seen in the image ) and show an arc path ...
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0answers
57 views

How to manage stat gains using exponential growth in RPG? [closed]

I am creating a simple RPG and fiddling around with some equations for stat/exp growth and am not sure how to handle bonus stats in a fixed growth model. If you have played Ogre Battle Tactics, you ...
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0answers
37 views

Implicit Functions and extracting an isosurface

I recently discovered a paper on Dual Marching Cubes which produces a much reduced poly count to other methods like Dual Contouring and Marching Cubes, however a recurring theme when reading these ...
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1answer
47 views

Isometric View of “Voxel-Style” Terrain

Suppose you have an arrangement of data for a terrain set up like this: terrain[layer][cart-x][cart-y]. Each location (ex. terrain[0][0][0] for the top left corner of the lowest layer) in the array ...
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1answer
134 views

Mouse click movement

I need to make realistic human movement (3D) using mouse click. Get mouse click point using Raycast. Smoothly Slerp to LookRotation. Move transform.forward. Everything works fine, except I have ...
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2answers
128 views

Explaining vector math for a pendulum camera

I came across a code that I guess is doing a pendulum camera, that's the class name. I would like to know the math behind that. I would like also to know how to decipher those stuff in game math, ...
3
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1answer
828 views

Converting time of day into a smooth day/night variable?

I'm trying to make a smooth day/night cycle for a game project that I've been working on. I've already set up a clock that adds deltaTime to seconds, wraps seconds to gameMinutes, etc. The issue that ...
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1answer
36 views

Libgdx : point that scrolls on the edge of a circle

I'm not very familiar with libgdx vectors. I want to create my own joystick-controller and I want to know how can I find the coordinates of B by using Vectors. I can calculate the radius and I have ...
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2answers
65 views

Getting neighbors of hex tiles in 3D space

I have a hex tiled model like attached below. Each of the hex tiles are separate objects meaning I can access each of the hex tiles individually inside Unity Now in my program I want to be able to ...
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1answer
101 views

Finding a vector perpendicular to a current vector

Assume, that we have a player that has a vector direction. We have an enemy, that is shooting a player. And the task is to find out from which side the enemy is shooting. I know the algorithm, how to ...
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2answers
215 views

Can someone explain dual contouring?

I've been trying to understand voxel rendering and have been looking at dual contouring (DC). So far I understand this much: Run a density function for a set of grid points (i.e noise function) ...
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0answers
30 views

Calculate required resolution

Lets say I have a rectangle with width x and height y. Then there is transformation matrix T. Now, how using only those data can I estimate minimal resolution of texture (that is its width and ...
3
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3answers
121 views

2 component unit vector

Is it possible to store a 3d unit length vector with only 2 components, for example as coordinates on a unit sphere? It seems possible but I have never seen anyone do this. Would this be at all ...
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1answer
81 views

Usage of math.Atan2 in a 3D coordinate system with Unity

I have a simple question on usage of math.Atan2 function with Unity in a 3D environment. I found this code on Unity's documentation for Math.Atan2. I changed it a bit to fit my needs. Vector3 ...
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1answer
90 views

Gun Bobbing Algorithm Math Explanation

I stumbled across this really neat algorithm which I don't fully understand. It simulates a camera's bobbing effect commonly witnessed in first person shooters while running/walking. I'm mainly unsure ...
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0answers
65 views

How to rotate enemies on 2D radar and clip them to circle shape? [duplicate]

I've been working on implementing a 2D radar for a 3D game lately, it's working fine in a very basic version. This is what is looks like: It works by transforming the 3D coordinates of the enemies ...
1
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1answer
53 views

Scale around a point

I am trying to create an image editing application for the purpose of generating UV maps in my own format. I am currently working on scaling the image for the purpose of zooming. I can get the image ...
2
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1answer
85 views

Screen coordinates to isometric coordinates?

I know this has been discussed here before, but I couldn't find an easy solution for my particular problem. I have a tile system and I'd like to convert screen coordinates into isometric tile ...
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3answers
132 views

How do I generate solar systems for a 2d universe map, but still look random

I need to generate 64 systems separated into 16 sectors, each with 4 systems. Each system must have another system within 10 units in it's own sector, but no closer than 3. One system in a sector ...
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1answer
24 views

Camera world matrix to view matrix

I've been working on a game engine and I model every object in my scene graph as an "entity" this includes my camera. My camera therefore has a position and rotation in world space and at the moment ...
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1answer
53 views

Computing Field-of-View from window dimensions

I'm looking into computing the vertical Field-of-View (FOVy) based on the projection parameters of my camera. From this source, I've found an equation that seems to work. float ...
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1answer
54 views

Is the rendering of distorted point clouds more complex?

I have two point clouds of n points: A dense ball-shape point cloud with many points inside A spherical point cloud with points on its surface. Is there (really) any difference between rendering ...
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4answers
254 views

RPG like hit points growth algorithms help

I am currently making an XNA game in C#. I want to increase health as the player level up. I am currently using this equation. MaxHealth = Convert.ToInt32(100 * Math.Pow(1.17, level - 1)); Its ...
2
votes
1answer
59 views

Impact of object's statistics on the rendering

Consider two 3D objects with n points and n triangles. One of the objects has a smooth surface such as a ball or a box, and the other object is like a fuzzy onion-layered object with large ...
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vote
1answer
47 views

Rotating a square rendered on a Bitmap

I'm writing a Software Renderer for fun/learning. Basically, it's just a giant array of integers which contain hexadecimal values (representing colour) that are rendered to the screen.... int ...
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1answer
58 views

Compute billboard rotation

I'm trying to compute a matrix to have object always facing the camera. For the moment, my result look pretty good, the problem is that my original billboard scale isn't preserved (Every billboard ...
2
votes
1answer
70 views

AABB implementation

I have seen in some texts and tutorials on the web where an AABB is implemented as a position vector and then half-width and half-height vectors. What is the advantage in using the half-width and ...
1
vote
1answer
83 views

How can I test if an oriented rectangle contains another oriented rectangle?

I have the following situation: To detect whether is the red rectangle is inside orange area I use this function: - (BOOL)isTile:(CGPoint)tile insideCustomAreaMin:(CGPoint)min max:(CGPoint)max { ...
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1answer
38 views

Find normal based on rotation?

Given the XYZ rotation of an object, e.g. (90,0,0), how can I find the object's normal assuming the object is pointing along it's local Z axis? In the above example the desired result is (0,1,0). ...
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0answers
29 views

Parabolic throw with set Height and range (libgdx) [duplicate]

Currently i'm working on a minigame for android where you have a rotating ball in the center of the display which jumps when touched in the direction of his current angle. I'm simply using a gravity ...
4
votes
2answers
174 views

How can I manually construct a right-handed orthographic projection matrix?

I need the formula to create a orthographic projection matrix. I am using GLM math libary and DirectX11. The reason I cannot use GLM to create it is because the NDC spaces are different between DX11 ...
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2answers
39 views

Converting A 3D Rotational Vector Into A 3D Forward Heading Vector

I need to do a raycast which accepts a Vector3D StartPos and a Vector3D EndPos. I have available to me the characters position and the cameras rotation in 3D vectors. I need to somehow compute a ...
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votes
3answers
95 views

Shooting based off mouse position [duplicate]

I'm trying to shoot bullets where the mouse is aiming using one image as a test. I'm trying to get the mechanics like this I have some kind of algorithm to handle that but the results arn't too ...
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0answers
34 views

Calculating co-ordinates of a line/ray that's increasing in height with a known slope/radians. Height increase is also known

basically in my game I'm firing a line. The line's anchor point is at the very bottom of it, and half of its width. When I fire the line, its rotation gets set to face where we want it to go. Then, ...
4
votes
1answer
90 views

Determining a sensible gear-like hierarchy for a series of connected objects

I would like a series of objects to behave in similar manner to a series of connected gears. This means that each black object in the diagram below will rotate at a speed based on the ratio of their ...
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1answer
86 views

Code explanation

Can someone please explain whats going on in this code written by Paul Irish I did not understand the draw(). function draw() { var time = new Date().getTime() * 0.002; var x = Math.sin( ...
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1answer
74 views

What is the optimal way to handle matrix internal data storage for interop with native graphics apis?

I'm writing a managed (c#) game engine and have stumbled on a bit of a crossroads in design/implementation regarding matrix types. Matrix types need to be optimized for marshaling to native graphics ...
0
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1answer
83 views

Rotating a vector around a vector in 3D space

I am trying to rotate a moon around a planet (the planet is also rotating around an axis) but I am having trouble doing so. I tried to make the model move through space like so: @Override public ...
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3answers
114 views

Bridge made out of blocks at an angle

I want the player to select 2 points (vectors). With these 2 points a floor should be created. When these points are parallel to the x-axis it's easy, just calculate the amount of blocks needed by a ...
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0answers
30 views

Map to Screen Coordinates for isometric style map with tile height of 71 and width of 110

I am aware of the coordinates to convert map to screen coordinates and back with isometric tiles with a height and width ratio of 2:1. What I need is the same for tile width of 110 and height of 71, I ...
1
vote
2answers
183 views

How do I create a knockback-movement?

I am a web developer new to game development, and with limited math knowledge. I am writing a character movement controller in Unity. The game has an isometric Diablo-like camera. The character moves ...
2
votes
2answers
52 views

How to use “weighted average easing” correctly with variable framerate?

I often use a weighted average for smoothly animating numerical values to a target value, like so: frame(dt) { value = ((value*someFactor) + targetValue) / (someFactor+1) } As you can see dt ...
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vote
1answer
47 views

Fit a bounding box in the scene modifying FOV

Suppose I have a radius for a spherical bounding box around a mesh. My goal is to render the scene such as when the camera moves, the bounding box whose centre the camera look at, occupies always ...
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0answers
68 views

Closest distance from 3D point to vector line

First let's have a look at my little drawing: I have an origin point p1 defined by x, y and z co-ordinates, and a vector v given by x, y and z magnitude. I also have an arbitrary point, p2, given ...
6
votes
4answers
527 views

How do I convert from the global coordinate space to a local space?

Given an entity named EntityA, I want to define a local coordinate space, where the position of EntityA is the origin, its heading vector is the X axis, and the normal of the heading vector is the Y ...