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Quaternions & 3D Rotation, Made Simple

Convert between Euler, quaternion and axis-angle, and blend rotations with slerp — free 3D math tools.

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Quaternion to Euler Angles Converter

Convert a unit quaternion (x, y, z, w) to roll/pitch/yaw Euler angles, with gimbal-lock detection.

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Euler Angles to Quaternion Converter

Convert roll/pitch/yaw (degrees) to a unit quaternion (x, y, z, w) for engines, IMUs and animation.

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Axis-Angle to Quaternion Converter

Convert a rotation axis and angle to a unit quaternion — the most intuitive way to specify a 3D rotation.

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Quaternion Slerp Interpolation Calculator

Spherical linear interpolation between two orientations at parameter t — smooth, constant-speed rotation blending.

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Vector Dot & Cross Product Calculator

Dot product, cross product, the angle between two 3D vectors and whether they're parallel or perpendicular.

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FOV ↔ Focal Length Calculator

Convert between field of view and focal length for cameras, game engines and lenses, for any sensor/film size.

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