# Krasjet/quaternion

A brief introduction to the quaternions and its applications in 3D geometry.

Repository: https://github.com/Krasjet/quaternion
Canonical: https://ross.abutalabs.com/products/quaternion
Homepage: https://krasjet.github.io/quaternion/
Language: HTML
License Family: other
Last push: 2025-08-20T02:52:30+00:00

## Health v2 (maintenance only)
Score: 49/100 (v2, computed 2026-09-03T02:20:16.233290+00:00)
- activity 37, release rhythm 35, longevity 100
- inputs: {"age_days": 2970, "days_push": 378, "days_rel": null, "gap_med": null, "n_releases_24m": 0}
- flags: no_releases, no_license
- formula: round(0.45*activity + 0.35*rhythm + 0.20*longevity); archived -> min(score, 10)

## Adoption (not part of the score)
Stars 2112, forks 297 (observed 2026-08-28T04:06:14.448064+00:00)

## What it is
An open-source tutorial document introducing quaternions and their applications in 3D rotation and computer graphics, including a bonus chapter on Gimbal Lock. It is published as a web page and PDF, with MATLAB/Octave demo code generating animation GIFs.

## Use cases
- learn how quaternions represent 3D rotations
- understand quaternion math for computer graphics
- understand why gimbal lock happens
- compare rotation representations like Euler angles vs quaternions
- find demo code visualizing 3D rotations
- prepare for 3D game engine or graphics programming

## When to choose
- you want a concise, visual introduction to quaternions for 3D geometry
- you need an intuitive explanation of gimbal lock
- you are learning graphics or game development math

## When to avoid
- you need a rigorous, textbook-level treatment of quaternion algebra
- you need maintained software or a library rather than a document
- you need a formally reviewed reference, as the author notes errors may exist

## Facets
- artifact type: learning-resource
- maturity: maintenance
- function: math, graphics, simulation, documentation
- domain: mathematics, graphics, tutorials, education
- platform: cross-platform
- tags: quaternions, 3d-rotation, computer-graphics, gimbal-lock, tutorial, matlab-demo, octave, game-development, web-server

## Member repositories
- Krasjet/quaternion (main) score 49

## Provenance
- Observed fields: from GitHub, fetched 2026-08-28T04:06:14.448064+00:00.
- Health v2: computed from the inputs above; adoption is never an input.
- Inferred fields (summary, facets, guidance): AI-extracted, prompt v1, taxonomy v1, on 2026-08-30T02:53:40.828861+00:00, confidence not recorded.
  - readme: https://github.com/Krasjet/quaternion (fetched 2026-08-28T04:06:14.448064+00:00, sha 9c8739c6bcd2)
  - homepage: https://krasjet.github.io/quaternion/ (fetched 2026-08-29T10:33:37.126599+00:00, sha 725136728ae6)
- Data as of 2026-08-30T08:39:29.467469+00:00.