Composite Rot

e1e73317-7e1f-4d50-a26f-b326779d3f22 9 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Composite Rot

Ψ θ Φ j Rot Ψ Θ Φ composite sΨ Ψ sin : cΨ Ψ cos : 12 mat sΘ Θ sin : cΘ Θ cos : 12 mat sΦ Φ sin : cΦ Φ cos : 12 mat cΘ cΨ * cΦ sΨ * - sΦ sΘ * cΨ * + sΦ sΨ * cΦ sΘ * cΨ * + cΘ sΨ * cΦ cΨ * sΦ sΘ * sΨ * + sΦ cΨ * - cΦ sΘ * sΨ * + sΘ - sΦ cΘ * cΦ cΘ * 33 mat 41 line : Ep Ψ Θ Φ 31 mat Ψ Φ Θ 31 mat Θ Ψ Φ 31 mat Θ Φ Ψ 31 mat Φ Ψ Θ 31 mat Φ Θ Ψ 31 mat 16 mat : E Ep 1 j el : E 1 el E 2 el E 3 el composite eval 41 line :

Annalema

Annalema 3.388 - 23 - 3.839 - 22.914 - 4.284 - 22.82 - 4.725 - 22.718 - 5.16 - 22.609 - 5.59 - 22.493 - 6.013 - 22.369 - 6.429 - 22.238 - 6.838 - 22.099 - 7.24 - 21.954 - 7.635 - 21.801 - 8.021 - 21.641 - 8.399 - 21.474 - 8.768 - 21.301 - 9.128 - 21.12 - 9.478 - 20.933 - 9.819 - 20.739 - 10.15 - 20.539 - 10.471 - 20.332 - 10.781 - 20.119 - 11.08 - 19.899 - 11.369 - 19.673 - 11.646 - 19.441 - 11.912 - 19.204 - 12.166 - 18.96 - 12.408 - 18.711 - 12.638 - 18.456 - 12.857 - 18.195 - 13.063 - 17.929 - 13.256 - 17.657 - 13.437 - 17.381 - 13.605 - 17.099 - 13.76 - 16.812 - 13.903 - 16.52 - 14.033 - 16.224 - 14.149 - 15.923 - 14.253 - 15.617 - 14.344 - 15.307 - 14.422 - 14.992 - 14.486 - 14.674 - 14.538 - 14.351 - 14.577 - 14.024 - 14.602 - 13.693 - 14.615 - 13.359 - 14.616 - 13.021 - 14.603 - 12.679 - 14.578 - 12.334 - 14.541 - 11.986 - 14.491 - 11.634 - 14.429 - 11.28 - 14.355 - 10.923 - 14.269 - 10.562 - 14.172 - 10.199 - 14.063 - 9.834 - 13.942 - 9.465 - 13.811 - 9.095 - 13.669 - 8.722 - 13.516 - 8.347 - 13.353 - 7.97 - 13.18 - 7.591 - 12.997 - 7.211 - 12.805 - 6.828 - 12.603 - 6.444 - 12.393 - 6.058 - 12.174 - 5.671 - 11.946 - 5.283 - 11.711 - 4.894 - 11.468 - 4.503 - 11.218 - 4.112 - 10.961 - 3.72 - 10.697 - 3.326 - 10.427 - 2.933 - 10.152 - 2.539 - 9.87 - 2.144 - 9.584 - 1.749 - 9.293 - 1.354 - 8.998 - 0.958 - 8.698 - 0.563 - 8.395 - 0.167 - 8.089 - 0.228 7.781 - 0.623 7.469 - 1.017 7.156 - 1.411 6.841 - 1.805 6.525 - 2.197 6.209 - 2.589 5.891 - 2.98 5.574 - 3.371 5.257 - 3.76 4.941 - 4.148 4.626 - 4.534 4.313 - 4.92 4.002 - 5.303 3.692 - 5.686 3.386 - 6.066 3.082 - 6.445 2.782 - 6.822 2.486 - 7.197 2.193 - 7.57 1.905 - 7.941 1.622 - 8.31 1.344 - 8.676 1.071 - 9.04 0.804 - 9.402 0.542 - 9.76 0.288 - 10.117 0.039 - 10.47 0.202 10.82 0.437 11.168 0.664 11.512 0.884 11.854 1.096 12.192 1.3 12.526 1.495 12.857 1.683 13.185 1.861 13.509 2.031 13.83 2.193 14.146 2.345 14.459 2.487 14.767 2.621 15.072 2.745 15.373 2.86 15.669 2.965 15.961 3.061 16.248 3.146 16.531 3.222 16.81 3.289 17.083 3.345 17.352 3.392 17.617 3.429 17.876 3.456 18.13 3.474 18.379 3.482 18.623 3.48 18.862 3.469 19.095 3.449 19.323 3.419 19.546 3.38 19.763 3.332 19.975 3.275 20.18 3.21 20.38 3.135 20.575 3.053 20.763 2.962 20.945 2.863 21.122 2.756 21.292 2.642 21.456 2.521 21.614 2.392 21.766 2.256 21.911 2.114 22.05 1.965 22.183 1.811 22.309 1.651 22.429 1.485 22.542 1.314 22.649 1.138 22.749 0.957 22.842 0.773 22.929 0.584 23.009 0.392 23.082 0.197 23.149 0.002 - 23.208 0.202 - 23.261 0.405 - 23.307 0.61 - 23.347 0.816 - 23.379 1.024 - 23.405 1.232 - 23.423 1.44 - 23.435 1.649 - 23.44 1.857 - 23.438 2.065 - 23.429 2.271 - 23.413 2.476 - 23.391 2.679 - 23.361 2.881 - 23.325 3.079 - 23.282 3.275 - 23.232 3.467 - 23.175 3.656 - 23.112 3.841 - 23.041 4.022 - 22.965 4.198 - 22.881 4.369 - 22.791 4.535 - 22.694 4.696 - 22.591 4.851 - 22.481 4.999 - 22.365 5.141 - 22.242 5.276 - 22.113 5.404 - 21.977 5.525 - 21.836 5.638 - 21.688 5.744 - 21.534 5.841 - 21.374 5.93 - 21.207 6.011 - 21.035 6.083 - 20.857 6.146 - 20.673 6.199 - 20.483 6.244 - 20.288 6.279 - 20.086 6.304 - 19.88 6.32 - 19.667 6.325 - 19.45 6.321 - 19.226 6.306 - 18.998 6.281 - 18.764 6.246 - 18.526 6.201 - 18.282 6.145 - 18.033 6.078 - 17.779 6.001 - 17.521 5.914 - 17.257 5.816 - 16.989 5.707 - 16.717 5.588 - 16.44 5.459 - 16.158 5.319 - 15.872 5.169 - 15.582 5.008 - 15.288 4.837 - 14.989 4.657 - 14.687 4.466 - 14.381 4.266 - 14.071 4.056 - 13.757 3.836 - 13.44 3.607 - 13.119 3.369 - 12.794 3.122 - 12.466 2.866 - 12.135 2.602 - 11.801 2.33 - 11.463 2.049 - 11.122 1.761 - 10.779 1.465 - 10.433 1.162 - 10.083 0.851 - 9.732 0.535 - 9.377 0.211 - 9.02 0.118 8.661 0.453 8.299 0.793 7.935 1.138 7.569 1.489 7.201 1.843 6.831 2.202 6.459 2.564 6.086 2.929 5.71 3.297 5.333 3.668 4.955 4.041 4.575 4.415 4.193 4.791 3.811 5.168 3.427 5.545 3.043 5.922 2.657 6.299 2.271 6.676 1.883 7.051 1.495 7.424 1.107 7.796 0.718 8.165 0.328 8.531 0.061 - 8.894 0.451 - 9.254 0.841 - 9.609 1.232 - 9.961 1.621 - 10.307 2.011 - 10.648 2.401 - 10.983 2.79 - 11.313 3.179 - 11.636 3.567 - 11.952 3.954 - 12.261 4.341 - 12.563 4.727 - 12.856 5.112 - 13.142 5.495 - 13.419 5.878 - 13.687 6.259 - 13.946 6.639 - 14.195 7.018 - 14.434 7.395 - 14.664 7.77 - 14.882 8.143 - 15.09 8.515 - 15.287 8.884 - 15.473 9.251 - 15.648 9.617 - 15.81 9.979 - 15.961 10.34 - 16.099 10.698 - 16.225 11.053 - 16.339 11.405 - 16.44 11.755 - 16.528 12.101 - 16.603 12.445 - 16.664 12.785 - 16.713 13.122 - 16.748 13.455 - 16.77 13.785 - 16.778 14.111 - 16.772 14.434 - 16.753 14.753 - 16.72 15.067 - 16.673 15.378 - 16.613 15.684 - 16.539 15.986 - 16.451 16.283 - 16.349 16.576 - 16.234 16.865 - 16.106 17.148 - 15.963 17.427 - 15.808 17.7 - 15.639 17.969 - 15.457 18.232 - 15.262 18.49 - 15.055 18.742 - 14.834 18.989 - 14.602 19.23 - 14.356 19.466 - 14.099 19.695 - 13.83 19.919 - 13.549 20.137 - 13.257 20.348 - 12.953 20.553 - 12.639 20.752 - 12.314 20.945 - 11.979 21.13 - 11.634 21.31 - 11.279 21.482 - 10.914 21.648 - 10.541 21.807 - 10.159 21.958 - 9.768 22.103 - 9.37 22.241 - 8.964 22.371 - 8.55 22.495 - 8.13 22.611 - 7.703 22.719 - 7.271 22.82 - 6.832 22.914 - 6.388 23 - 5.94 23.079 - 5.486 23.15 - 5.029 23.213 - 4.569 23.268 - 4.105 23.316 - 3.638 23.356 - 3.169 23.389 - 2.698 23.413 - 2.226 23.43 - 1.753 23.438 - 1.28 23.439 - 0.806 23.433 - 0.333 23.418 - 0.14 - 23.395 - 0.611 - 23.365 - 1.081 - 23.327 - 1.548 - 23.281 - 2.013 - 23.227 - 2.475 - 23.166 - 2.934 - 23.096 - 3.388 - 23.02 - 3662 mat :

xyData n# Decimate collect every 'n' pairs range 1 xyData rows n# range : k 1 : i range uX k el xyData i 1 el : vY k el xyData i 2 el : k k 1 + : 31 line for uX vY augment 31 line 31 line :

Annalema rows 366

Analema Annalema 3 Decimate :

Analema rows 183

Analemma in spherical coordinates N λon Analema 1 col : λat Analema 2 col 90 - : i 1 Analema rows range X i el λat deg * (i el sin λon deg * (i el cos * eval : Y i el λat deg * (i el sin λon deg * (i el sin * eval : Z i el λat deg * (i el cos eval : 31 line for X Y Z augment 21 line 31 line :

λongitude λatitude

zoom 10 :

Sphere u v f u sin v cos * u sin v sin * u cos 31 mat :

sph u v f 02 π * 02 π * 2424 CreateMesh :

Ψ 0 ° * : Θ 22.5 - (° * : Φ 22.5 ° * : 13 mat

permute 1...6 j 3 :

MyRot Ψ θ Φ j Rot :

MyRot 0.924 0.354 0.146 - 0.383 - 0.854 0.354 - 0 0.383 0.924 33 mat

sph MyRot * zoom * N MyRot * zoom * 2 1 sys

Composite . . .

1. 6 angles permutations [Ψ,Θ,Φ]

2. 6 plot ' j ' permutations.

3. [Ψ,Θ,Φ] has fixed orientations.

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