Quaternion to Euler Converter
Convert quaternion to Euler angles (roll, pitch, yaw)
Quaternion Input
Euler Angles (Degrees)
Roll (X)
0.0000°
Pitch (Y)
0.0000°
Yaw (Z)
0.0000°
Euler Angles (Radians)
Roll (X)
0.000000
Pitch (Y)
0.000000
Yaw (Z)
0.000000
Axis-Angle Representation
Rotation Axis
(0.0000, 0.0000, 1.0000)
Rotation Angle
0.0000°
About Gimbal Lock
Gimbal lock occurs when pitch equals +/-90 degrees, causing the roll and yaw axes to align. In this state, one degree of freedom is lost and the Euler representation becomes ambiguous. Quaternions do not suffer from gimbal lock, making them preferred for 3D rotations.
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
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Formula Source: Handbook of Mathematical Functions
by Abramowitz & Stegun
🔄Last reviewed: May 2026
✓Formula checks are based on standard references and internal QA review.