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A Crash Course in Quaternions (Unity 6 Compatible)

Name: A Crash Course in Quaternions (Unity 6 Compatible)
Availability: InStock
Rating: 4.5 (218 reviews)

4.5(218)7k students

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Overview

This short course demystifies quaternions, a mathematical tool for representing rotation in 3D space that's widely used in game development but rarely well understood. It starts from Euler angles and the gimbal lock problem they create, then builds toward quaternions as a more robust alternative, finishing with hands-on application inside Unity using C#.

Who It's For

Aimed at game designers and programmers who have encountered quaternions in the Unity API but don't fully understand what they're doing or why they outperform other rotation methods — not a substitute for a full postgraduate mathematics treatment.

Key Takeaways

How Euler angles lead to gimbal lock
The conceptual leap from 2D rotation into 4D quaternions
Working with 4x4 matrices and axis-angle rotations
Applying Slerp, RotateTowards, and LookAt in Unity C#

Compatible with Unity 6, it balances enough theory to build real understanding with practical exercises for immediate use in game projects.

About this course

Quaternions are like vegetables. You know they are good for you but you aren't sure why and if only you knew how to make them taste good. Okay so you aren't going to be eating quaternions, but you get the idea. They are this really advanced topic in geometry and mathematics that anyone who designs or programs games has heard about, might have even used, but have no real understanding about what they are achieving and why they are better than other methods.

This short course will demystify the concept for you. No, it won't give you the level of understanding of a postgraduate university mathematics major but it will provide you with the theory that will help you put quaternions and rotations in 3D space in context and give you the skills to use them with confidence in your game projects to overcome the limitations of other rotational methods.

Learn how to program and work with:

4x4 Matrices to represent Euler angles.
Quaternion operations included in the Unity API.
Rotational controls for Slerp, RotateTowards, and LookAt.

Contents and Overview

In this short course, you will gain an understanding of the history of rotational mathematics and how quaternions came into existence. It begins by examining Euler angles and how they are used to orient objects in 3D while then proceeding to explain how Euler angle multiplication breaks down into the issue known as 'gimbal lock'.

Following this, a conceptual examination of basic rotational geometry is extrapolated from 2D space into the quaternion 4D. It is then explained how 4 dimensions can be applied to 3D by implementing axis-angle rotations.

The second half of the course provides some hands-on tutorials for applying quaternions to move and rotate 3D objects in the Unity Game Engine using C#.

What students are saying about Penny's courses:

Turns out, the hardest part of this course for me is finding the words to describe how glad I am to have enrolled in it.
I honestly love Hollistic's teaching approach and I've never learned so much within a few hours about coding effectively with such detailed explanations!
Penny is an excellent instructor and she does a great job of breaking down complex concepts into smaller, easy-to-understand topics.