Questions tagged [mathematics]
Mathematics questions deal with the arithmetic, geometry, calculus, formulae and other calculations used in the development of a game.
1,648
questions
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How do you draw a random irregular polygon in java? (Asteroids)
I am coding an Asteroids game in Java. In the real arcade game, asteroids are made of irregular shapes like this:
When I code, I can only set asteroids to 1 or another specific shape, like this:
...
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1answer
73 views
Bouncing Ball in c++
Background
I've been making my own game from scratch.
I've made my own collision system and there's a situation I'm having an issue with.
Problem
Pictured:
a ball going in one direction and ...
0
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1answer
25 views
Calculation of perpendicular distance to camera plane explanation
I am following this tutorial for a Wolfenstein 3D engine. https://lodev.org/cgtutor/raycasting.html
Here is the relevant image from the tutorial:
I cannot figure out how dividing by rayDirX or ...
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0answers
29 views
Is there an easy way to calculate the velocity of an object on a pendulum?
Want to have a rope travel to the mouse on m2 click and then act as the pivot of a pendulum, with the player being the bob.
Used some math I don’t really understand to get the angle of the mouse ...
2
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1answer
76 views
How to determine the cost of new units
Suppose I design a game such as Battle of Wesnoth, where there are many races, each of which with many types of units.
Is there any rule-of-thumb for determining how much each unit should cost?
One ...
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0answers
23 views
Finding the site of the potential collision between 2 vehicles
I've been trying to implement the unaligned collision avoidance steering behavior. I get what needs to be done on a high level, but struggle with the maths behind it.
On Craig Reynolds site, he ...
0
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2answers
62 views
How does lookAt matrix math work?
Can someone provide me an explanation of how the lookAt matrix works?
...
0
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2answers
71 views
What is Unity Quaternion range?
I've read somewhere that a Quaternion in Unity ranges between [-1,1] values. I mean the individual XYZW values. Ex: new Quaternion(.1f,.2f,-.3f,-.4f)
Is this true?
More clearly: I know they take ...
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0answers
61 views
intersection of primitive in a unit wrapping 3D space
is there people good enough for a math problem (for a shader)?
I want to write an algorithm that would intersect primitives (triangles, squares, circle, sphere, cube, cylinder) inside a unit wrapping ...
1
vote
1answer
31 views
How to calculate plane corner vertices from plane origin point and plane normal?
I have an origin point, and normal vector of a 3D plane. I want to calculate 4 vertices to use as the corners of a 2 triangle quad to render the plane.
0
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1answer
52 views
Simplifying Camera Strafing
I have a camera that follows the position and direction of the player. These are updated using spin and velocity. The velocity is updated like so:
...
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1answer
37 views
Calculating 3D character movement based on YAW and Pitch
I'm not sure how to calculate an XYZ immediately to my characters left based on the direction they are facing.
I am learning to create a 3D game in Monogame on top of .Net Core 3.1 in c# using ...
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1answer
56 views
Confused about why my projection matrix works
My projection matrix was buggy, I'm not great at mathematics, but I checked it against the the songho tutorial, and the broken one seems correct to me but switching nearplane to farplane seems to ...
0
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1answer
28 views
Finding rotation quaternion from orthonormal basis?
Given three 3D unit vectors \$a\$, \$b\$, \$c\$ such that:
\$a \times b = c\$
\$b \times c = a\$
\$c \times a = b\$
(ie \$a, b, c\$ form an orthonormal basis)
How do we calculate a unit ...
1
vote
1answer
80 views
What are spline input keys?
There isn't a really adequate explanation of these anywhere on the internet, so I thought I'd ask this question here.
What are spline input keys in Unreal?
How are they represented in Unreal?
Also:
...
1
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1answer
71 views
How to apply linear drag to a velocity vector?
I have built my own movement code for my character as I want to make smooth movement. (This project is just a character and a floor/wall for testing).
The code seems to work fine, but I of course ...
0
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0answers
54 views
How do I prevent camera jitter when rotating the player - Unreal?
This is a problem that seems to have no reasonable answer anywhere around, yet is a commonly needed aspect of developing game mechanics.
Context
I'm developing a traditional 3rd person character ...
1
vote
2answers
29 views
How to get chunks in a sphere rather than cuboid
I have a chunk system to load stars around the player. It takes a given "real" loading range (aka Unity-units of range), calculates the necessary chunk loading range (as integer), creates star ...
52
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4answers
9k views
How are imaginary numbers useful in video game creation?
I learned about imaginary numbers in school and they seemed so impractical, so I asked my teacher what they were used for and he said "video game creation".
I just want to know if this is true and ...
0
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0answers
26 views
Understanding Parametric UV's?
I've watched a video on Parametric UV's but I cannot understand how to calculate, the Parametric UV's on a flat surface or a sphere. Should I perceive Parametric UV's the same way as a UV map, which ...
0
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0answers
9 views
How to fix roll in FPS camera when looking sideways [duplicate]
I am trying to calculate the rotation for an FPS camera.
My closest attempt was to create a some Euler angles(from input) and multiply that with the view matrix, this works, but only if I am looking ...
1
vote
1answer
160 views
The view matrix finally explained
I must say that I am really confused by how a view matrix is constructed and works.
First, there are 3 terms: view matrix, lookat matrix, and camera transformation matrix. Are those 3 the same, or ...
0
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1answer
40 views
Knockback to zone on non-rectangular field
I have a playing field which is divided in 4 zones (as seen on the image below)
The player (blue) is on the second zone while there are 2 enemies (red) on the third zone. When the player throws an ...
0
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1answer
75 views
I need an analytic formula for 3 arms inverse kinematics system
I need an Analytic formula for 3 arms IK system_. I'm currently using Fabrik and CCD solutions but I'm facing low-performance and accuracy issues. So now I'm looking for an Analytic formula.
I'm ...
0
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2answers
127 views
Why are rotations in 2D game engines often counter-clockwise = positive systems?
I was looking over the API for a game engine a friend was developing in her spare time. She made the decision to make positive angles rotate in a clockwise direction. This immediately struck me as odd....
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1answer
102 views
THREE.JS - How to know the shortest rotation direction an object must do to look at other?
I am trying to understand a way in THREE.JS (and the mathematical foundation) to get the direction an object should rotate to lookAt other but without actually rotate it.
I've tried to use ...
2
votes
1answer
64 views
How to align a 3D object with four points?
I'm sure there's a better way to articulate this question, but I lack the vocabulary.
Imagine a skateboard. As it rolls straight down a road, the "deck" is aligned with the road, just offset a few ...
0
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1answer
59 views
0
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1answer
57 views
How to place a camera so that it always fits a plane?
I have a plane that can get its scale changed during the game, and I want to make the camera view it completely every time the plane has its scale changed. The only camera is set to perspective ...
0
votes
1answer
45 views
How to calculate the transformation such that two points with different position, orientation and origins line up?
Let's say you have two different 3D Objects which both contain a node that is off center (not at the origin) and have an orientation. How do you calculate the transform for one of the object so that ...
0
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0answers
26 views
Tilt car to accomodate for larger Tire
I would like to rotate the car so that the front wheels are touching the ground without using physics.
As you can see i want to rotate the car by angle a, but making sure that both tires are touching ...
0
votes
1answer
29 views
Trying to rotate a point around another point and it's not working
I am trying to make a function to rotate a point around another point. My maths are very rusty but i did some research and i just dont understand why my function is not working.
...
2
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0answers
46 views
Orthographic camera produces strange results
I've created a basic orthographic camera using the following view projection matrix:
...
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0answers
30 views
get closest unobscured point on bounding box (to point)
I know that I can get the nearest point on a bounding box to a point by clamping the coordinates of the point to the bounds of the bounding box.
However, how do I get the nearest point on a bounding ...
0
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1answer
57 views
Calculate Discrete Fourier Transform by using c#
There is a definition of Discrete Fourier Transform:
I want to calculate amplitude and phase of a transformed sequence.
I tried :
...
0
votes
1answer
36 views
Unity - Set rotation of object using angle between two points?
I have a LineRenderer that draws a line between two points, Vector3 startPos and Vector3 endPos. How can I get the angle between these points, and apply it to an objects transform rotation, so that it ...
0
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0answers
9 views
Rotate to face the bottom of a unit towards a planet [duplicate]
I would like to have tanks that move around on a planet (a sphere).
Depending on where the unit is, I would like it to always have the bottom of it facing the center of the planet.
To do this I've ...
0
votes
1answer
34 views
How to change the up vector of something in Unreal
I'm creating a grapple hook mechanic.
The elements of this particular situation are a Player and a grapple point.
I would like the top of the player to always be pointing towards this grapple point. ...
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0answers
75 views
Calculating spaceship course
There is an idea for (soft) sf strategy game following me for a long time but I need to get a grasp of some math before moving further with it.
Lets assume there is a spaceship traveling (in space) ...
0
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3answers
69 views
Finding an angle between two bodies
I am trying to find angle between vectors a and b. But the cosine for some reason is not within +/- 1, that means that it is not possible to find an angle between a car and a pedestrian...
Any help ...
0
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0answers
19 views
Map an equirectangular square slice inside cubemap
I'm trying to map a square slice of an equirectangular image inside a cubemap with 6 faces, without distortion.
The point is that I'm dealing with huge array sizes if I try to project the whole ...
0
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1answer
48 views
Rotating Sprite Around A Point Without Messing Its Drawing Point
I am trying to draw and rotate an arrow sprite based on a point,around a static circle body without messing its drawing starting point. Arrow should be directed to the same direction with user touch ...
0
votes
1answer
59 views
how can I transform a skewed line to a vertical line?
So, I have a line:
And I skewed it with x += y * cos(angle)
and got something like:
My question is, if I have another line segment with that same skew, how can I ...
0
votes
1answer
44 views
Rotating a parent rectangle to align child with target
My beautiful drawings will explain better than many words (or at least I hope):
The structure:
The black rectangle is a GameObject (my weapon sprite).
A and ...
0
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0answers
43 views
Grappling hook force resolution
Our team is creating a 3rd person adventure platformer in Unreal 4.22. One of the mechanics is a grappling hook. Think less-so a 'pull-to-point' grappling hook (Widowmaker, Just cause etc.). However ...
0
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0answers
53 views
Convert Flat World Angle into Isometric Angle?
My game is isometric 30 degrees (think Diablo 2), I'm looking to convert the angle A1 from the player tile A to the destination tile B into the appropriate angle A2 in the isometric view.
For the ...
0
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0answers
36 views
Concept design-pattern for industry simulation required
I am making a mobile game simulating industry. A brief high level description is below.
A hub could be thought of as a base/city, within which there are rooms/buildings which determine what is ...
0
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1answer
100 views
Mana regeneration formula
Suppose my mana regeneration rate was calculated in this way:
ManaRegenRate = 0.01 × (BaseManaRegen + ManaRegenMultiplier × Willpower) × TotalMana
Where willpower is my attribute ranging from 0 to ...
2
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2answers
102 views
Catan Optimal Placement
Is it possible to calculate the best possible placements for settlements in Catan without using an ML algorithm?
While it is trivial to simply add up the numbers surrounding the settlement (highest ...
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0answers
32 views
What is a good algorithm for generating a linear regression of positions in 3D space? (for getting the direction of a thrown object in VR)
I'm trying to get throwing to feel right in my VR game. I don't plan on actually using physics to do this; my idea is to accurately determine the lateral direction of the throw, then move the object ...
