<p fontName="Arial">Gamma matrix for rotations</p>

450b6d73-477f-46a0-9cf3-19ad6f4e4608 6 4 5 false false 0 decimal

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Euler Rotation with a "correction" for left orientation (I guess. ... ) v EulerRot α Ω1 1000 α cos α sin - 0 α sin α cos 33 mat : φ Ω2 φ cos 0 φ sin 010 φ sin - 0 φ cos 33 mat : ϑ Ω3 ϑ cos ϑ sin - 0 ϑ sin ϑ cos 000133 mat : 13 mat R v 1 el Ω1 v 2 el Ω2 * v 3 el Ω3 * : R 111 - 111 - 1 - 1 - 133 mat * vectorize transpose 31 line :

Angles from the rotation matrix. γ EulerRotInv γ 32 el γ 33 el atan γ 31 el - γ 11 el (2^γ 21 el (2^+ sqrt atan γ 21 el γ 11 el atan - 13 mat 11 line :

Fridel  default "point of view" rotation matrix for plot 3D into 2D region plots γ 0.8232 - 0.4194 - 0.3827 0.5677 0.6187 - 0.543 0.009 0.6643 0.7474 33 mat :

Angles from Fridel usual gamma Ω γ EulerRotInv : ° 41.6312 0.5157 - 145.4088 - 13 mat

You can change those angles for get some new "point of view" matrix. Ω EulerRot 0.8232 - 0.4194 - 0.3827 0.5677 0.6187 - 0.5431 0.009 0.6643 0.7474 33 mat

u v f u v 2 u * sin 2 v * sin + 31 mat :

F f 3 - 33 - 31616 CreateMesh :

Φ F γ * eval : Φ 1 col Φ 2 col augment 2 1 line

Using

Ω 300 37.5 - 13 mat ° * :

γ Ω EulerRot : 0.7934 0.5272 - 0.3044 0.6088 0.6871 0.3967 - 0 0.5 0.866 33 mat

Are those the matlab defaults?

Φ F γ * eval : Φ 1 col Φ 2 col augment 2 1 line

Matlab: https://la.mathworks.com/help/matlab/ref/view.html https://la.mathworks.com/help/matlab/creating_plots/setting-the-viewpoint-with-azimuth-and-elevation.html?lang=en

Alvaro