pub fn euler_rotation_matrix<T: Number>(angles_deg: Vector3<T>) -> Matrix3<T>Expand description
Build a 3×3 rotation matrix from Euler angles (degrees), applied as Z × Y × X.
This is the extrinsic rotation convention matching OpenSCAD’s rotate([x, y, z]).
§Mathematical derivation
Given angles (α, β, γ) for (X, Y, Z) in radians:
Rx = ⎡ 1 0 0 ⎤ Ry = ⎡ cos β 0 sin β ⎤ Rz = ⎡ cos γ -sin γ 0 ⎤
⎢ 0 cos α -sin α⎥ ⎢ 0 1 0 ⎥ ⎢ sin γ cos γ 0 ⎥
⎣ 0 sin α cos α⎦ ⎣-sin β 0 cos β ⎦ ⎣ 0 0 1 ⎦
R = Rz · Ry · Rx