claude

math-rotation

Abstract math skills for 3D rotation representations, quaternion algebra, and interpolation on manifolds.

2 on GitHubv0.1.0MITupdated 6 days ago
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Plugin math-rotation from marketplace intelligentium in NetFabric/intelligentium. Commands read from the repo's manifest — 6 days ago.

What it installs

Skills (3)

  • 3d-rotation-theory

    Abstract math for 3D rotation representations and conversions. USE FOR: understanding axis-angle representation; Euler angles (yaw/pitch/roll, convention choices); rotation matrices (SO(3)); quaternion-based rotation; converting between representations; identifying and avoiding gimbal lock; composin

  • interpolation-on-manifolds

    Abstract math for interpolating angles, vectors, and quaternions on curved manifolds. USE FOR: implementing Lerp (linear interpolation) for vectors; Nlerp (normalized lerp) for directions; Slerp (spherical linear interpolation) for quaternions and unit vectors; shortest-path sign flip when dot produ

  • quaternion-algebra

    Abstract math for quaternion algebra (hypercomplex numbers ℍ). USE FOR: implementing quaternion multiplication (Hamilton product, non-commutative); conjugate, norm, and inverse; unit quaternions on S³ as double cover of SO(3); rotating 3D vectors with quaternions; understanding why q and −q represen

View source on GitHub intelligentium.ai

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