Basic Math for Game Development with Unity 3D: A Beginner's Guide to Mathematical Foundations

© The Author(s), under exclusive license to APress Media, LLC, part of Springer Nature 2023

K. Sung, G. SmithBasic Math for Game Development with Unity 3Dhttps://doi.org/10.1007/978-1-4842-9885-5_2

2. Intervals and Bounding Boxes

Kelvin Sung¹   and Gregory Smith²

(1)

Bothell, WA, USA

(2)

Caldwell, ID, USA

 

After completing this chapter, you will be able to

• Use Unity to work with positions in the 3D Cartesian Coordinate System

• Program with intervals along the three major axes

• Define axis-aligned bounding areas in 2D and axis-aligned bounding boxes (AABB) in 3D

• Determine if a position is inside of an axis-aligned bounding area or box

• Approximate inter-object collision using AABBs

• Compute the intersection of two AABBs

• Appreciate the strengths and ...