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threejs-math

Skill9 starsChanged 54 days agoApache-2.0View on GitHub

three.js math library: Vector2/3/4, Matrix3/4, Quaternion, Euler, Color, Box2/Box3, Sphere, Plane, Ray, Line3, Triangle, Frustum, Cylindrical/Spherical coords, MathUtils, and Interpolant base classes; addon math utilities such as OBB, Octree, Capsule, ConvexHull, MeshSurfaceSampler. Use for transforms, intersection tests, and spatial queries; for keyframe interpolation tied to AnimationMixer use threejs-animation; for picking implementation use threejs-objects with Raycaster.

The file

We split this skill into the rules it gives an agent

1 rule. About 0 are common, 1 is distinctive, and 0 are very specific to this project.

  • ≈0

    Common · estimate

    Many files like this have a rule of this kind.

  • ≈1

    Distinctive · estimate

    This author's own choices. Worth a look.

  • 0

    Very specific

    Tied to their project's names, files or tools. Probably skip.

  • Common
  • Distinctive
  • Very specific
  1. Distinctive:

    When answering under this skill, prefer responses that:

    line 64

≈ “Common” is an estimate: at least 1 in 5 of the 350,495 skill files we read have a rule of the same kind, not the same words. “Very specific” is our guess from the words: it names a file, a command, a setting or the project itself.

Keep what fits and drop the rest. Your version, ready for your agents.
Files
SKILL.md

When to use this skill

ALWAYS use this skill when the user mentions:

  • Vector/matrix math order, applyQuaternion, lookAt, world vs local transforms
  • Bounding volumes Box3/Sphere, containment/intersection tests
  • Ray vs Plane vs Frustum tests (without full picking pipeline)

IMPORTANT: math vs objects vs animation

NeedSkill
Raw math typesthreejs-math
Raycaster + layers pickingthreejs-objects
QuaternionKeyframeTrack playbackthreejs-animation

Trigger phrases include:

  • "Vector3", "Matrix4", "Quaternion", "Box3", "Ray", "Frustum"
  • "向量", "矩阵", "四元数", "包围盒"

How to use this skill

  1. Conventions: multiply vectors by matrices on the left as three.js examples show; call updateMatrixWorld before world-space queries (threejs-objects).
  2. Bounding: Box3().setFromObject(object) for rough bounds; refine per need.
  3. Collision-ish checks: ray.intersectBox, sphere.containsPoint, etc., per docs.
  4. Addon structures: Octree/OBB for games—cite addon pages, avoid copying full API tables here.
  5. Color: Color conversions relate to materials/textures—cross-link.
  6. Random sampling: MeshSurfaceSampler for distributing points on meshes.

See examples/workflow-ray-aabb.md.

Doc map (official)

Docs sectionRepresentative links
Mathhttps://threejs.org/docs/Vector3.html
Mathhttps://threejs.org/docs/Matrix4.html
Mathhttps://threejs.org/docs/Quaternion.html
Mathhttps://threejs.org/docs/Ray.html

Scope

  • In scope: Core Math types; addon math entries as pointers.
  • Out of scope: Keyframe track evaluation beyond type references (animation skill).

Common pitfalls and best practices

  • Euler gimbal lock—prefer quaternions for arbitrary rotations.
  • Reusing temporary vectors reduces GC thrash in hot loops.
  • Frustum culling helpers vary—verify against your three version.

Documentation and version

Core math types are listed under Math; addon utilities (Octree, OBB, …) appear under Addons → Math in three.js docs. Global also lists constants (e.g. wrapping, blending) sometimes needed alongside materials.

Agent response checklist

When answering under this skill, prefer responses that:

  1. Link the concrete type (Vector3, Matrix4, Quaternion, …) from the docs.
  2. Send AnimationMixer / track math to threejs-animation when time-sampled.
  3. Send Raycaster picking flows to threejs-objects when interaction is the goal.
  4. Mention numeric stability (epsilon) where comparisons matter.
  5. Point to Addons → Math for game-oriented structures when users need spatial acceleration.

References

Keywords

English: vector, matrix, quaternion, euler, box3, sphere, ray, frustum, three.js

中文： 向量、矩阵、四元数、欧拉角、包围盒、射线、three.js

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