ix-rotation

Perform 3D rotation calculations with quaternions, SLERP, and Euler conversions.

Updated Mar 12, 2026
One-click install
npx skills add https://github.com/GuitarAlchemist/ix --skill ix-rotation
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: ix-rotation
Source: https://github.com/GuitarAlchemist/ix/tree/main/.claude/skills/ix-rotation
Command: npx skills add https://github.com/GuitarAlchemist/ix --skill ix-rotation

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) components.

What problem does it solve?

This Skill streamlines 3D rotation operations, including interpolation, conversion, and applications for 3D point rotation.

Core Features & Use Cases

  • Quaternion Creation: Generate unit quaternions from rotation axes and angles.
  • SLERP: Perform spherical linear interpolation between orientations.
  • Euler/Quaternion Conversion: Convert between Euler angles and quaternions.
  • Rotation Application: Apply quaternion rotations to 3D points.
  • Rotation Matrix Conversion: Convert quaternions to rotation matrices and validate.
  • Gimbal Lock Detection: Detect gimbal lock in rotation angles.
  • Use Case: For an AI-driven game engine, apply this Skill to dynamically interpolate character orientations for smoother animations.

Quick Start

Rotate a 3D point by applying the quaternion rotation: rotate_point quaternion point.

Frequently Asked Questions about ix-rotation

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

FAQPage Schema
How do I interpolate between two 3D rotations for smooth animation transitions?

You can interpolate 3D rotations using spherical linear interpolation (SLERP) between quaternions. This Skill performs SLERP to calculate intermediate orientations, ensuring smooth transitions for graphics and animation systems.

How do I convert Euler angles to a quaternion?

Converting Euler angles to quaternions is directly supported by this Skill. It handles bidirectional conversion between Euler angles and quaternions, allowing you to represent 3D rotations without encountering gimbal lock.

How do I apply a quaternion rotation to a 3D point?

To apply a quaternion rotation to a 3D point, you can use the provided rotation application functionality. This Skill calculates the new spatial coordinates by applying the generated unit quaternion directly to your target 3D point.

Can I generate a rotation matrix from a quaternion for my 3D engine?

Yes, you can generate a rotation matrix from a quaternion. This Skill converts quaternions into rotation matrices and validates the results, providing the matrix transformations needed to integrate rotations into 3D graphics systems.

How do I detect gimbal lock when using Euler angles for 3D rotation?

Detecting gimbal lock involves checking specific rotation angle thresholds. This Skill includes a gimbal lock detection feature that evaluates your rotation angles to identify when you lose a degree of freedom in your 3D rotations.

How do I create a unit quaternion from a rotation axis and angle?

Creating a unit quaternion requires defining a rotation axis and an angle. This Skill generates unit quaternions from these inputs, providing a standardized mathematical representation for applying 3D rotations to points or objects.