Questions tagged [mathematics]
Mathematics questions deal with the arithmetic, geometry, calculus, formulae and other calculations used in the development of a game.
2,022 questions
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How to Rotate a Sphere around a Tilted Axis in a 3D space
I'm developing a game with Unreal Engine 5.4.4.
In the game, I'm trying to rotate a sphere around its Z axis. If I put the sphere on the map and add a rotation around its Z axis is easy.
I only have ...
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Resizing a Sprite in 3D space to match its native pixel size at a target screen resolution?
I am placing a 3D game object with a SpriteRenderer + Billboard attached to it in my scene.
However, since it's a distance away from a perspective camera, the sprite gets scaled, losing a lot of the ...
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How to calculate the Number of blocks per column in an N step pyramid?
Designing a space game, where each ship has a certain size/ number of layers of armor.
for example 3 layers size 7.. .Which would look like this:
...
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Shrink a Circle's Radius Without Deformation Until It's a Solid Spot
I need to shrink the radius of a ring without deforming it by shrinking it's outline(the way scaling it would).
I need to do this until the hollow fill is gone and its a solid spot.
Here's an example:
...
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Post process effect with sphere mask is offset until the window is resized
I am having a weird issue with the position of my sphere mask. Here is what it looks like currently:
The white disc should be directly under the player character, not shifted off to the side.
...
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How can I detect which slice of the pie chart my mouse is hovering over?
I'm trying to create a simple pie chart for my game (a strategy/simulation game) to show population demographic data for a province, but I'm struggling to figure out how to detect which slice is being ...
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Rotation Matrix rotating in context over another Rotation Matrix
I have 2 rotation matrixes than work in a world that have three dimensions (X, Y and Z) being Y the one of the height.
One of such rotations works using Y dimension, from the point of the center of ...
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Zoom in and out centered about the mouse cursor in 2D using ImGUI
I have a 2D canvas used in a ImGUI context, that requires Zoom and Pan functionality.
Currently the Pan functionality works fine. However the zoom functionality does scale but the result is not ...
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Moving SplineAnimate Objects Over Time With Proportional Speed
What I'm doing
I'm using Unity's Spline package and I'm trying to move SplineAnimate objects across a Spline, similar to a racing game's mini-map UI.
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How to express parabolic motion using delta time?
I'm trying to figure out how to express parabolic motion (for example: \$y = x^2\$) using delta time. I thought about deriving it using a differential like \$y' = \frac{1}{2}x\$ but that results in a ...
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CGLM Not Rendering with Sokol [closed]
I've setup cglm from a wrap configured with Meson, and have copied one of the samples from https://github.com/floooh/sokol-samples/tree/master (cube-sapp, to be exact). I've tried to replace sokol's ...
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How to snap an object to a grid? [duplicate]
I am trying to emulate something like Factorio's train system and a core component involves placing rails. One of the game's mechanics has objects snapping to a grid. Another example would be Fortnite ...
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Converting a Transform from Unity's Coordinate System to Unreal Engine's
I am trying to convert a transform from the Unity Coordinate System to the Unreal Engine Coordinate System (and others).
Ideally, I want to take a position, rotation (in Euler angles), and a scale as ...
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How to propagate velocities correctly with tile based destructible physics objects
A somewhat complicated question but, I am working on a system where physics bodies can be made out of tiles. These tiles can be edited similar to a game like Terraria. When a body should logical be ...
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How to make objects appear on the map at a certain distance based on scale?
Mode7 - Sprites on Screen / Pseudo 3D
Scale x1:
Scale x16:
I'm trying to recreate this system with JAVASCRIPT:
https://github.com/vinibiavatti1/Mode7/blob/master/src/mode7/FlatModeSeven.java
The ...
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Understanding polygonal approach for procedural generation of roads and rivers
First of all, I have already discovered these questions and their answers:
Road / river generation on 2d grid map
Algorithms for rainfall + river creation in procedurally generated terrain
Generating ...
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LibGdx sprite isn't rotating correctly around its own axis
I'm currently trying to rotate a sprite around its own axis to make it "face" the mouse, but I'm having weird results. This is my code:
...
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How to understand calculation of step size in voxel terrain renderer?
I was following the Pikuma's Voxel space terrain rendering video.
I understood almost everything that he described in the video except the following point, where he described the the equation to ...
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Implementing animation curves using cubic bezier curves
I am trying to implement an animation system using cubic bezier curves. It was easy to setup the calculation of the curve itsself. Only evaluating the curve at a specific time x gives me headaches.
I ...
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Need help controlling a 2d rocket to reach target positions at velocity vector constraints
The problem:
I have a rocket in a 2D space game that can apply force forwards and apply torque to turn. Now I want this rocket to reach a target point in the x,y coordinate system with a certain ...
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How can a quad be triangulated consistently in 3D? [duplicate]
I'm making a building game and the terrain and modelling system are based on cubes made out of 8 corners each. Players can manipulate the corners to make other shapes.
When you take a quad (ABCD), ...
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Implementing 3d isometric like camera in Unreal BP
Im trying to learn Blueprints and started by implementing my own isometric view from scratch. I have a pawn, with a camera component, the view is supposed to rotate and scroll. I have implemented ...
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How do large physics based games (space engineers) deal with coordinates
I have recently been looking into physics engines and low level computing. At some point id like to make my own engine down the road.
Something I can't seem to find an aswer for is how physics based ...
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Normals deformation with FFD
I am developing an FFD tool in Unity for the needs of a level designer. It works similarly to FFD box in 3DS Max. I used the implementation described by Sederberg and Parry with a lattice and ...
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81
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Inconsistent Movement Behaviour between built Game and Playmode
I'm using a simple MonoBehaviour that causes GameObjects to change their position based on a ...
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286
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How to calculate the center of mass of a irregular polygon in Godot?
Or to calculate the centroid of a 2D polygon assuming uniform mass density, which is my case. The polygon can be either concave or convex.
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How to calculate the surface area of a irregular 2D polygon in Godot?
I have a irregular 2D polygon, it is a PackedVector2Array, how do I get its area?
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How to live on sphere?
What I want to achieve
I want to generate sphere planet world, seamless of course, for RTS game like Planetary Annihilation: TITANS, which means I want:
place walking agents on sphere, move them on a ...
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How to find offsets of Vector2's give number of points row, amount of points, and centered vertically?
Say that I want to make a grid that contains 5 points and up to 3 points on each row. starting from the top I should have 3 points followed by 2 points underneath centered by the same distance like so:...
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Calculating semicircle points of a scaled CapsuleCollider2D
I have a very simple code that draws the shape of a pre-defined capsule. It handles everything well, except the case when the GameObject to which the ...
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Collision of two rigid spheres with spin
I'm trying to create a particle simulation (solar system kind). Until now my particles have no spin so the collision is rather simple
...
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2d top down movement physics: speed, max speed, acceleration, friction, velocity, delta
I am creating a 2d top down game and am trying to implement movement. My current approach is very simple and looks like this
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Predictive Aim to shoot a moving target with a constant velocity while the projectile is affected by gravity (2D/Platformer view)
I've been working on creating stationary gun turrets that can shoot down missiles in my game. The bullets are affected by gravity while the missile moves in a linear path at a constant rate as if it ...
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How to make an object keep same relative position and orientation using only velocity
I have object A, I can get any information I want from object A (global position, velocity, etc)
I have object B, which is positioned and oriented in a certain way relative to object B. There is no ...
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2 object snapping using bounding boxes in Unity Runtime
I am using boundary boxes for all calculations. In the image below you may see a case where this objects need to be snapped. Currently the calculations go as following, the rotation is changed by the ...
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Normalize an angle in unity
How can I normalize angle between min value and max value?
like normalizing -1136316.78186234° between 0° , 360° or between 180° , 360°.
Node: for now I'm using double value as angle.
Thanks for ...
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Selection Box Not Positioning Correctly
I found some code that generates a selection box, but when I tried it the box was not starting where the mouse was and I couldn't find the issue.
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Matrix parent-child transformation for 2D positioning
I am working with matrix math for parent / child transformations. I have to modify existing calculations to keep child scale constant while also keeping child position relative to its parent.
Here's ...
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48
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Texture space Raytracing of cylinder primitive in godot shader for Helix interception
I have been trying to do raytracing of an helix in a spatial shader in godot 4.2, but apparently I missed something because the result is bloby and melty at the cylinder level.
The basics is that I ...
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How to calculate velocity based on force at an angle
I have a 2D top-down jetboat that is moving (has a x, y velocity). I apply the velocity by multiplying against the delta time <...
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Mirroring a Character's Position In a Shadow After Rotating 180 Degrees
Description:
I am creating a 2.5D RPG.
When my character moves from left to right, they rotate 180 degrees to face the new direction. Just like this example.
They also have a blob shadow sprite that ...
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How hard to brake to perfectly smoothly reach the destination?
Goal
I want the get the required minimum deceleration to perfectly smoothly reach a target.
(The car's AI should know how hard it has to brake to be the perfect valet.)
Research
"How can I ...
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How to rotate spaceship quaternion to face target direction with constant angular speed?
I have an enemy spaceship, and I want to make it turn to face the player with (for now) a constant angular speed. The ship's orientation is a quaternion. How do I do this?
Since this is totally free ...
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How to calculate rotation needed to cancel out perspective shift
I have a direction vector that's pointing to (0,0,1) in local object space. How can I calculate rotation needed to rotate it on Y axis so that from camera's point of view it would look as if it's ...
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Max velocity for smooth deceleration to destination
I am able to update velocity of my agent every 0.5 seconds. My agents max speed is 5f/s and max acceleration/deceleration is 2f/s.
I know how far away I am from the destination. How to determine ...
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How to make calculating the inverse matrix more robust?
When I calculated the inverse matrix, I found that the error in using the float data type would cause the inverse matrix calculation error. Is there any good solution?
...
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Software rendering - compose View matrix
There is function compose View Matrix, it's software rendering project. Used fixed point math. phd_sin() and phd_cos() user defined functions implement sin() and cos(). Please explain this ...
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Normalized coordinates not translating to screen coordinates the way I need them to
I am making a simple game in C# using pictureboxes. I want to move a picturebox on a form. Once this picturebox is placed in a new location, I normalize its X,Y coordinates between [0, 1] and then ...
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Checking if I am looking through a window using angles
I am developing a mod for a game with a Lua api.
I am trying to detect if I am looking through from behind a window when I shoot an enemy. For context, when I shoot through this window I apply a ...
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Determining a direction/projection/heading for an object in 3D space after it has been rotated
I hope this is a good place to find an answer. I'm not a math wiz and I've tried to tackle this problem many times over the past decade or so.
I have a 3D space world, and I'm in a little space ship. ...
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