threejs-core-math

Perform vector, quaternion, Euler rotation, and coordinate system operations in Three.js.

11|Updated Mar 20, 2026
One-click install
npx skills add https://github.com/Impertio-Studio/Three.js-Claude-Skill-Package --skill threejs-core-math-impertio-studio
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: threejs-core-math
Source: https://github.com/Impertio-Studio/Three.js-Claude-Skill-Package/tree/main/skills/source/threejs-core/threejs-core-math
Command: npx skills add https://github.com/Impertio-Studio/Three.js-Claude-Skill-Package --skill threejs-core-math-impertio-studio

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires three.js, and includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill provides comprehensive tools for working with 3D mathematics in Three.js, addressing common issues such as incorrect vector usage, rotation order confusion, and Euler angle interpolation errors.

Core Features & Use Cases

  • Precise Vector Operations: Offers methods for vector addition, subtraction, multiplication, and more, ensuring accurate mathematical operations.
  • Rotation Management: Provides quaternion and Euler handling to avoid gimbal lock and ensure smooth rotations.
  • Coordinate System Awareness: Offers guidance on coordinate systems and orientation, ensuring proper model loading and transformation.
  • Use Case: When developing a 3D scene in Three.js, this Skill can help you correctly position, scale, and rotate objects using industry-standard math practices.

Quick Start

Use the threejs-core-math skill to transform a point to a new position using the coordinate transformation formula.

Frequently Asked Questions about threejs-core-math

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I prevent gimbal lock during 3D rotations in Three.js?

To prevent gimbal lock in Three.js, use quaternion handling for rotation management instead of Euler angles. Quaternions ensure smooth rotations and avoid the mathematical singularities that cause gimbal lock in complex 3D scenes.

Why are my 3D models positioned incorrectly after loading in Three.js?

Incorrect 3D model positioning in Three.js often stems from coordinate system confusion. Applying proper coordinate system awareness and transformations ensures models load with correct orientation and positioning relative to the scene.

How do I perform precise vector operations like addition and subtraction in Three.js?

Precise vector operations in Three.js require using dedicated math methods for addition, subtraction, and multiplication. These ensure accurate mathematical calculations for positioning and manipulating 3D objects within the scene.

What causes Euler angle interpolation errors in Three.js animations?

Euler angle interpolation errors in Three.js occur due to rotation order confusion and gimbal lock. Using quaternion-based rotation management instead of Euler angles resolves these interpolation issues for smooth animations.

Do I need basic vector math knowledge to use Three.js coordinate system transformations?

Yes, coordinate system transformations in Three.js require basic vector math knowledge. Understanding vector operations and coordinate system orientation is a prerequisite for properly loading, positioning, and transforming 3D models.

What is the best way to handle 3D math transformations in Three.js?

The best way to handle 3D math transformations in Three.js is using industry-standard math practices for vector manipulation, quaternion rotation handling, and coordinate system management to correctly position, scale, and rotate objects.