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HS-223 – Maths for Artists by Divyansh Mishra

HS-223 – Maths for Artists by Divyansh Mishra

Author:Divyansh Mishra

Duration:9.5 hours

Actual Duration:9h 20m

Release date:2023, June

Publisher:Houdini School

Skill level:Intermediate

Language:English

Exercise files:Yes

Software:Houdini, Redshift, Unreal Engine, Substance Designer

Course URL:https://www.houdini.school/courses/HS-223-Maths-for-Artists

Stop fearing math and start using it to build better motion graphics, shaders, and gameplay systems in Houdini.

This course is for artists who want to stop guessing and start controlling their tools with math. You’ll learn how to use functions, vectors, and matrices to build better motion graphics, shaders, and gameplay systems in Houdini. It’s not about abstract theory—it’s about practical, hands-on techniques you can use immediately.

🎯 What you’ll learn

  • Build custom masks and patterns using mathematical functions.
  • Understand and apply vectors for 2D and 3D motion graphics.
  • Use quaternions to solve rotation problems without gimbal lock.
  • Pack and unpack transformation matrices for complex setups.
  • Optimize your existing Houdini networks using math.

✅ Requirements

  • Skills: Basic understanding of Houdini’s interface and VEX (HS-001 and HS-115 recommended).
  • Tools: A computer meeting SideFX system requirements, a second monitor recommended.
  • Hardware: A dedicated GPU is recommended for rendering with Redshift.

📝 Description

This isn’t a dry math lecture. Divyansh Mishra teaches you to think like a technical artist, using math as a creative tool. You’ll start by building a solid intuition for mathematical functions—sine, cosine, and tangent—and immediately apply them to create custom masks and patterns in Houdini.

The course then dives into vectors, the building blocks of 2D and 3D graphics. You’ll learn how to use dot and cross products for everything from lighting calculations to art direction. From there, you’ll tackle quaternions and matrices, demystifying rotations and transformations so you can build complex, stable setups without hitting gimbal lock.

Each concept is paired with a practical Houdini exercise. You’ll build a function visualizer, create radial masks, and work with polar coordinates. By the end, you’ll have a new mindset for solving problems—whether you’re building a motion graphics tool, a shader, or a gameplay system.

🧑‍🎓 Who this course is for

  • Houdini artists who want to move beyond copy-pasting VEX code.
  • Motion designers looking to create more complex, procedural patterns.
  • Technical artists who need a stronger foundation in math for shaders and tools.
  • Game developers wanting to understand the math behind gameplay systems.

🧑‍🏫 About the Author

Divyansh Mishra is a Technical Artist currently working at Amazon Robotics. He specializes in tool building and automation, using Houdini, Unreal Engine, and Substance Designer as his primary tools. His background in solving real-world engineering problems gives his teaching a practical, no-nonsense edge.

🏁 Final Result

  • A solid, intuitive understanding of how to apply math to your daily Houdini work.
  • A set of reusable VEX snippets and techniques for masks, patterns, and transformations.
  • The confidence to debug and optimize your own math-based setups.
Curriculum

📋 Course content

  1. Module 1: Introduction
    • Divy Introduction
    • Course Introduction
    • Session 1 Overview
  2. Module 2: Three Ways to Make a Circle
    • Introduction
    • Detail Wrangle
    • Multithreading Info
    • Point Wrangle
    • Number Wrangle
    • Profiling and the Benefit of Multithreading
    • Q&A: Wrangles, Thread Job Size
  3. Module 3: Basics of Functions
    • What are Functions?
    • Mathematical Functions
    • Examples of Functions
    • Sine Explained
    • Q&A: Sine and Radians
    • Connecting the Def of Sin with the Graph of Sin
    • Q&A: Names of Points and Lines
    • Cosine
    • Q&A: Relating Sin and Cos
    • Relating Sin and Cos using the Pythagorean Theorem
    • Tangent
    • Q&A: Tangent, Infinity and Quadrants
    • Function Visualizer HDA
    • Manipulating the Input
    • Manipulating the Output
    • Composing Functions
  4. Module 4: Making Masks
    • Starting to make masks
    • Remapping Sin (2 ways)
    • How to use our functions [Lerp]
    • Interpolation Explained
    • Q&A: Lerping Data Types
    • Controlling the Interpolation Bias
    • Translating between the Func Visualizer and Vex
    • Using it in a setup
    • Radial Functions
    • Arc Functions
    • Q&A: Why PI/ 6?
    • Q&A: Range of Arc Functions
    • Arc Tan
  5. Module 5: Polar Coordinates
    • Intro to Polar Coordinates
    • Q&A: Cartesian vs Polar
    • Brain Exercise
    • Drawing with Polar Coordinates
    • Brain Excersice 2
    • Distance Explained with Polar Coords
    • Atan explained with Polar Coords
    • Q&A: Slope and Atan, Atan2
Watch online or Download for Free
HS-223 – Maths for Artists by Divyansh Mishra
NAME
SIZEDURATION
01. Introduction
35.4 MB5m
17. Matrix Concepts
30 MB17m

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867.2 MB9h 20m

Project Files (Assets, Resources)
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