Questions tagged [mathematics]
Mathematics questions deal with the arithmetic, geometry, calculus, formulae and other calculations used in the development of a game.
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Rotating A two point around circle?
Currently I M Working On 2d Game
in my game problem is when i m click leftarrow and right arrrow point are not rotated??
Code:
...
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Reconstruct world position from depth
I am trying to restore the position from the depths. I separately created a position map in view space, which I use as a basis for tests. But I can not get the same result when I try to reconstruct ...
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1answer
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if rotation < -45 && > -140 issue
I have a problem with this if statement.
If the rotation is < -45. And > -140
Then this statement would be true when the rotation is = -90?
And it would be false if the rotation is = -170?
I'm ...
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How to implement Meshlab's rotation manipulator? [duplicate]
I want to implement a rotation handle/manipulator mechanism that would enable user to rotate a 3D model exactly like Meshlab does.
Unfortunately I don't fully understand how does the rotation gizmo ...
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1answer
69 views
Predict Time of projectile flight
I am trying to matemathically predict how long will projectile fly until it reach
the target. I am trying to implement this formula:
t = [V * sin(α) + √(V * sin(α))² + 2 * g * h)] / g
where I know ...
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31 views
The X axis becomes the Y axis after a quaternion rotation
I am making a FPS game, and I have a for loop where I place out "ground" objects.
(pseudo code)
...
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1answer
54 views
rotation matrix problems - opengl and own types
In an effort to learn things deeper I'm writing my own mathematics for the first time instead of using libraries. As far as I can tell my matrix multiplication is correct, and translation and scaling ...
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libGDX - Zooming on a specific point in 2D space
I was hoping to modify my game so zooming would focus on a point: the mouse location on desktop or the midpoint between two fingers on mobile. This appears to require a simultaneous zoom and translate....
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2answers
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1answer
44 views
Capsule to Sphere Collision
For my Maths unit at university, we have to manually calculate if a sphere is colliding with a capsule collider.
The information I have to go with is this;
You have the following Sphere:
LadyBird3 -...
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28 views
Yaw on a spherical world
I am trying to make a game where the player can walk along the surface of a spherical planet, and am not sure how to handle orientation. Pitch is relatively easy, as it is simply how much "above" or "...
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27 views
How to move an object in a heart shape pattern in javascript?
How can I move an object in a heart shaped pattern? I have a move(x, y) function that I can use to move the object, but how to I make a function that will move the object in a heart shaped pattern, ...
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1answer
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How to compute the moves amount in a match-3 game?
I have a match-3 mobile game, similar to these popular games in the store.
Mechanics are different, but the gameplay stays the same:
NxN board
X moves
Y objectives to complete to win
tons of ...
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21 views
Divide screen in eight sectors [duplicate]
Currently in our game we use a 4 directional movement. Some abilities are triggered on mouse click and "fired" in the direction the player has clicked.
For this, I have split the screen in 4 sectors (...
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Moving and rotating object with another object [duplicate]
Sorry i bad painter))
Need move and rotate 'OBJECT №2' with 'OBJECT №1'
I have origin point(also rotation point) and angles of two object. (Also min and max coordinates of these objects)
Vector ...
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0answers
58 views
Quaternion Rotation after performing previous rotations
Have Quaternion \$ Q\$ which is rotated on the \$X\$ axis 90 degrees.
\$Q\$ is now \$ (0.707106, 0.707106, 0, 0)\$.
I want to rotate \$Q\$ another ...
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2answers
88 views
A* GetNearest() implementation
I'm trying to implement pathfinding in my platformer and I'm having trouble coming up with a way to find the nearest node to a world point.
I tried this:
...
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1answer
43 views
An algorithm to make one object follow another on a 2D grid
I am using Greenfoot, but this can apply to pretty much any 2D engine.
So my question is a basic one that I somehow couldn't find an answer to already. Basically, if I have an enemy and the player, ...
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2answers
42 views
How to implement this XP formula?
I found this response but the thread is closed:
https://gamedev.stackexchange.com/a/13639
level = constant * sqrt(XP)
I seem unable to properly get current level, this is how I tried to do it, and ...
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1answer
36 views
Movement velocity relative to a static object (Vector Maths)
I have a static object. I have a moving player.
If the player is moving directly towards the object then I want to return the value of 1.
If the player is moving directly away from the the object ...
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1answer
41 views
Algorithm for finding edge vertex points on a tilemap
I have a 2d tilemap array contains 1 or 0. 0 corresponds empty tile, 1 corresponds solid tile. If tile is 1 I draw a texture.
I have to find edge vertices and coordinates that 1's grouped.
I couldn'...
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0answers
27 views
Rotate a Vector by Quaternions
I'm trying how to work out how to Rotate a Vertex using Quaternions, using a scientific calculator, or on paper. Exam preparation.
My lecturer has given us this;
Quaternion = (-0.5, 0, -0.7071067, 0....
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1answer
48 views
How would I rotate my billboards parallel to the camera view?
I'm trying to make my own space-sim in Godot and I'm stuck trying to get the visuals of the "starfield"-effect that is a staple of the genre. I'm using a Particle system with billboards that would be ...
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1answer
23 views
How can spotlights be implemented with a perspective projection?
I was reading Shadow Mapping with Directional Lights
and noted that spotlights are implemented by rendering with the perspective projection, stating that the spotlight worked just like the camera. ...
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1answer
49 views
2D vehicle collision detection and rotation
I'm attempting to make a simple 2D car game from scratch, but I can't figure out the collision detection between a vehicle and a road. The vehicle should also rotate appropriately to its position on ...
2
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1answer
73 views
Math needed to create a very simple 2D side view car game
I'm trying to create a 2D side view car game (something like Hill Climb Racing, but much more simpler), but I'm confused on the math and physics.
Most of the tutorials I found were about making a top-...
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1answer
42 views
Understanding the “gradient” in Perlin Noise
If I didn't get it wrong from the wikipedia, the word "gradient" should represents either the derivative for continuous functions, or the differential for discrete functions.
To rebuild the original ...
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1answer
18 views
How to scale a sprite on x axis to touch the point without changing pivot?
I have a sprite. The pivot is at random point.
I want to increase the sprite's scale on the x axis, without moving the pivot, until its edge touches a point at right.
I have a method to set/add size....
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1answer
47 views
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1answer
28 views
Rotating on a slanted surface?
I want to rotate (change it's yaw) an object when its sitting on slanted ground. Pretty much I want to rotate around the ground's normal.
Right now I ray cast down, get the ground's normal.
Then I do:...
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0answers
27 views
Circle ceases to be a circle when radius is below a certain value
I'm using the LineRenderer component to draw a circle. It renders fine, but it's a little too large. The smallest I can set the radius is .06f. If I try to set the radius to anything less than that, ...
2
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2answers
61 views
Midpoint displacement generating unsatisfactory terrain
Following this lesson for implementing mid-point displacement algorithm for terrain generation. I aim at generating a wavefront(obj) file of the terrain
I have an array of dimension (2^n + 1) x (2^n +...
1
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1answer
58 views
Algorithms for Automated Game Levels Creation ( 2D )?
I am trying to algorithmically create a game like the one in the picture below
I am trying to Create random levels from an algorithm.
Ideally, the algorithm will take into account the desired ...
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From look-at vectors to a quaternion
So, I have code to create a quaternion from a matrix (using the 3x3 rotational part.)
And I have code to construct a transformation matrix from a lookat + up vector pair.
To go from lookat+up to ...
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1answer
38 views
How to get the tangent and normal of a collision?
In my game, one of my objects casts a ray into a 2d space. If that ray were to hit another object, I'd like to draw a line that is perpendicular to the tangent of the ray's hit point. So when the ray ...
3
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1answer
131 views
Octahedral impostors, Octahedral mapping
I'm facing some issues understanding this article about octahedral impostors.
More specifically I quite don't understand how one can map the hemi-octahedron (subdivided) vertices to texture ...
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2answers
42 views
How to calculate turret position after rotation
I'm trying to make a tank character for my game but I couldn't do the math of firing bullets from turret instead of center of the tank.
I tried some Stack Overflow solutions but I couldn't understand ...
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0answers
60 views
algorithm to change the center of the image
I need and algorithm in Java if possible to change the center of the image when scaling.What is happening to me is represented in the first image:
when I scale the image the image scale according to ...
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0answers
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creating levelup stats based on curves [duplicate]
I'm creating a simple level-up system and I'm looking to base the stats gain on curves so I can tweak them easier, I know it's a math function, but I have no idea what to search for.
I need to create ...
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XMMATRIX performance
Dears,
I am facing a performance problem when I try to access cell 42 and 43 in XMMATRIX define in DirectXMath.h. The frames dropped by 100 FPS.
Here is my code:
...
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37 views
Get Position and percentage of a given point on a Spline
I have a spline data, in a List chunkPath;
and a player position (x, y, z).
I would like to get the closest point in the path, and get the actual percentage we are inside the path...
So What I have:
...
6
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0answers
116 views
How to move a portion of bezier/spline curve along its complete bezier/spline curve?
Based on the image below, I have a curve (orange) which is a bezier sub-curve of an original curve (longer black curve). The original curve consists of a number of cubic bezier curves joined together. ...
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2answers
112 views
Calculating the intersection of a fast moving circle and a line
Inside of my game, I am in need of a way to test the collision between a line segment and a fast-moving circle. I would say I need a line v capsule collision however the problem is I need the ...
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2answers
42 views
Having two points (line) how can I substract a specific amount to each point?
I have two points that make a line. And I need to subtract a specific amount to each point keeping the direction of the line. I know the radius which is the amount to subtract.
The red dots of the ...
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1answer
51 views
Distance function on a pacman plane
I am making a game, where if you go through the right wall, you pop up on the left. I want to have a function that calculates the distance between two objects, where we can have a line that goes ...
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1answer
49 views
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1answer
98 views
Redundant checks from spatial partitioning
A simple 2D grid partition system for collision detection divides space into equal-sized tiles. Colliders then map themselves to tiles with their bounding box in O(1) time. Collision detection only ...
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0answers
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Simple Automation of Car Path Finding Between 2 Points [duplicate]
I would think that it would be simple to have a car drive from A to B, but apparently I haven't been able to figure it out. My goal is to have a car begin at a certain position and angle, calculate ...
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How to convert a rotation around an axis into pitch and yaw rotation
So i want to rotate particles towards a point and i've already figured out how to calculate the angle and the rotation axis.
Currently what i do is simply use a 3 dimensional matrix, apply the ...
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1answer
59 views
Orbital rotation equation
I am developing a space sandbox (3D). Now I am working on an asteroid belt around a planet. I have an Asteroid class and an ...
