Geometry

Triangle, three sides, angles sum to be 90°. Okay, makes sense, 30° per side. Got it.

Square, four sides. That means 120° 180°? 45° per side?

What the flying fuck?

What makes the sum of the internal angles change just because the number of sides change? Explain this bullshit to me please.

>>67
Performance comparisons with other rotation methods

This section discusses the performance implications of using quaternions versus other methods (axis/angle or rotation matrices) to perform rotations in 3D.

Results

Storage requirements
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Method              Storage
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Rotation matrix  9
Quaternion      4
Angle/axis      3*
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_{* Note: angle-axis can be stored as 3 elements by multiplying the unit rotation axis by the rotation angle, forming the logarithm of the quaternion, at the cost of additional calculations.}