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on 7 Oct 2021
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m=0.1
m = 0.1000
u=(-5*pi:pi/120:8*pi)'
u = 1561×1
-15.7080 -15.6818 -15.6556 -15.6294 -15.6032 -15.5771 -15.5509 -15.5247 -15.4985 -15.4723
●
v=0:pi/120:2*pi
v = 1×241
0 0.0262 0.0524 0.0785 0.1047 0.1309 0.1571 0.1833 0.2094 0.2356 0.2618 0.2880 0.3142 0.3403 0.3665 0.3927 0.4189 0.4451 0.4712 0.4974 0.5236 0.5498 0.5760 0.6021 0.6283 0.6545 0.6807 0.7069 0.7330 0.7592
●
X=cos(u).*exp(m*u)*(5+5*cos(v))
X = 1561×241
-2.0788 -2.0784 -2.0774 -2.0756 -2.0731 -2.0699 -2.0660 -2.0614 -2.0561 -2.0501 -2.0434 -2.0360 -2.0279 -2.0192 -2.0098 -1.9997 -1.9889 -1.9775 -1.9655 -1.9528 -1.9395 -1.9256 -1.9111 -1.8960 -1.8803 -1.8640 -1.8472 -1.8298 -1.8118 -1.7934 -2.0835 -2.0832 -2.0821 -2.0803 -2.0778 -2.0746 -2.0707 -2.0661 -2.0608 -2.0547 -2.0480 -2.0406 -2.0325 -2.0238 -2.0143 -2.0042 -1.9935 -1.9820 -1.9700 -1.9573 -1.9440 -1.9300 -1.9155 -1.9003 -1.8846 -1.8683 -1.8514 -1.8339 -1.8159 -1.7974 -2.0868 -2.0865 -2.0854 -2.0836 -2.0811 -2.0779 -2.0740 -2.0694 -2.0640 -2.0580 -2.0513 -2.0439 -2.0358 -2.0270 -2.0175 -2.0074 -1.9966 -1.9852 -1.9731 -1.9604 -1.9471 -1.9331 -1.9185 -1.9033 -1.8876 -1.8712 -1.8543 -1.8368 -1.8188 -1.8003 -2.0887 -2.0884 -2.0873 -2.0855 -2.0830 -2.0798 -2.0759 -2.0712 -2.0659 -2.0599 -2.0531 -2.0457 -2.0376 -2.0288 -2.0194 -2.0092 -1.9984 -1.9870 -1.9749 -1.9622 -1.9488 -1.9348 -1.9202 -1.9051 -1.8893 -1.8729 -1.8560 -1.8385 -1.8205 -1.8019 -2.0892 -2.0888 -2.0877 -2.0860 -2.0834 -2.0802 -2.0763 -2.0717 -2.0663 -2.0603 -2.0536 -2.0462 -2.0380 -2.0293 -2.0198 -2.0097 -1.9989 -1.9874 -1.9753 -1.9626 -1.9492 -1.9352 -1.9206 -1.9055 -1.8897 -1.8733 -1.8564 -1.8389 -1.8209 -1.8023 -2.0882 -2.0878 -2.0867 -2.0849 -2.0824 -2.0792 -2.0753 -2.0707 -2.0654 -2.0593 -2.0526 -2.0452 -2.0371 -2.0283 -2.0188 -2.0087 -1.9979 -1.9865 -1.9744 -1.9616 -1.9483 -1.9343 -1.9197 -1.9045 -1.8888 -1.8724 -1.8555 -1.8380 -1.8200 -1.8014 -2.0857 -2.0854 -2.0843 -2.0825 -2.0800 -2.0768 -2.0729 -2.0682 -2.0629 -2.0569 -2.0502 -2.0428 -2.0347 -2.0259 -2.0164 -2.0063 -1.9955 -1.9841 -1.9720 -1.9593 -1.9460 -1.9320 -1.9175 -1.9023 -1.8865 -1.8702 -1.8533 -1.8358 -1.8178 -1.7993 -2.0818 -2.0814 -2.0804 -2.0786 -2.0761 -2.0729 -2.0690 -2.0644 -2.0590 -2.0530 -2.0463 -2.0389 -2.0308 -2.0221 -2.0127 -2.0026 -1.9918 -1.9804 -1.9683 -1.9557 -1.9423 -1.9284 -1.9139 -1.8987 -1.8830 -1.8667 -1.8498 -1.8324 -1.8144 -1.7959 -2.0764 -2.0760 -2.0750 -2.0732 -2.0707 -2.0675 -2.0636 -2.0590 -2.0537 -2.0477 -2.0410 -2.0337 -2.0256 -2.0169 -2.0074 -1.9974 -1.9866 -1.9753 -1.9632 -1.9506 -1.9373 -1.9234 -1.9089 -1.8938 -1.8781 -1.8619 -1.8450 -1.8277 -1.8097 -1.7913 -2.0696 -2.0692 -2.0681 -2.0664 -2.0639 -2.0607 -2.0568 -2.0522 -2.0469 -2.0410 -2.0343 -2.0269 -2.0189 -2.0102 -2.0008 -1.9908 -1.9801 -1.9687 -1.9568 -1.9442 -1.9309 -1.9171 -1.9026 -1.8876 -1.8719 -1.8557 -1.8389 -1.8216 -1.8038 -1.7854
Y=sin(u).*exp(m*u)*(5+5*cos(v))
Y = 1561×241
-0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0546 -0.0545 -0.0545 -0.0545 -0.0544 -0.0543 -0.0542 -0.0541 -0.0540 -0.0538 -0.0536 -0.0534 -0.0532 -0.0530 -0.0527 -0.0525 -0.0522 -0.0519 -0.0516 -0.0513 -0.0509 -0.0505 -0.0502 -0.0498 -0.0493 -0.0489 -0.0485 -0.0480 -0.0476 -0.0471 -0.1094 -0.1093 -0.1093 -0.1092 -0.1091 -0.1089 -0.1087 -0.1085 -0.1082 -0.1079 -0.1075 -0.1071 -0.1067 -0.1062 -0.1057 -0.1052 -0.1046 -0.1040 -0.1034 -0.1027 -0.1020 -0.1013 -0.1005 -0.0997 -0.0989 -0.0981 -0.0972 -0.0963 -0.0953 -0.0943 -0.1644 -0.1644 -0.1643 -0.1641 -0.1639 -0.1637 -0.1634 -0.1630 -0.1626 -0.1621 -0.1616 -0.1610 -0.1604 -0.1597 -0.1589 -0.1581 -0.1573 -0.1564 -0.1554 -0.1544 -0.1534 -0.1523 -0.1511 -0.1499 -0.1487 -0.1474 -0.1461 -0.1447 -0.1433 -0.1418 -0.2196 -0.2195 -0.2194 -0.2192 -0.2190 -0.2186 -0.2182 -0.2177 -0.2172 -0.2165 -0.2158 -0.2151 -0.2142 -0.2133 -0.2123 -0.2112 -0.2101 -0.2089 -0.2076 -0.2063 -0.2049 -0.2034 -0.2019 -0.2003 -0.1986 -0.1969 -0.1951 -0.1933 -0.1914 -0.1894 -0.2749 -0.2749 -0.2747 -0.2745 -0.2742 -0.2737 -0.2732 -0.2726 -0.2719 -0.2711 -0.2702 -0.2693 -0.2682 -0.2670 -0.2658 -0.2644 -0.2630 -0.2615 -0.2599 -0.2583 -0.2565 -0.2547 -0.2527 -0.2507 -0.2487 -0.2465 -0.2443 -0.2420 -0.2396 -0.2372 -0.3303 -0.3303 -0.3301 -0.3298 -0.3294 -0.3289 -0.3283 -0.3276 -0.3267 -0.3258 -0.3247 -0.3235 -0.3223 -0.3209 -0.3194 -0.3178 -0.3161 -0.3143 -0.3123 -0.3103 -0.3082 -0.3060 -0.3037 -0.3013 -0.2988 -0.2962 -0.2935 -0.2908 -0.2879 -0.2850 -0.3858 -0.3858 -0.3856 -0.3852 -0.3848 -0.3842 -0.3835 -0.3826 -0.3816 -0.3805 -0.3793 -0.3779 -0.3764 -0.3748 -0.3730 -0.3712 -0.3692 -0.3670 -0.3648 -0.3625 -0.3600 -0.3574 -0.3547 -0.3519 -0.3490 -0.3460 -0.3428 -0.3396 -0.3363 -0.3329 -0.4414 -0.4413 -0.4411 -0.4407 -0.4401 -0.4395 -0.4386 -0.4377 -0.4365 -0.4353 -0.4338 -0.4323 -0.4306 -0.4287 -0.4267 -0.4246 -0.4223 -0.4199 -0.4173 -0.4146 -0.4118 -0.4088 -0.4058 -0.4025 -0.3992 -0.3958 -0.3922 -0.3885 -0.3847 -0.3808 -0.4969 -0.4968 -0.4965 -0.4961 -0.4955 -0.4947 -0.4938 -0.4927 -0.4914 -0.4900 -0.4884 -0.4866 -0.4847 -0.4826 -0.4804 -0.4779 -0.4754 -0.4727 -0.4698 -0.4668 -0.4636 -0.4602 -0.4568 -0.4532 -0.4494 -0.4455 -0.4415 -0.4373 -0.4330 -0.4286
Z=-exp(m*u)*(15+5*sin(v))
Z = 1561×241
-3.1182 -3.1454 -3.1726 -3.1997 -3.2268 -3.2539 -3.2808 -3.3076 -3.3343 -3.3608 -3.3872 -3.4134 -3.4394 -3.4652 -3.4907 -3.5160 -3.5410 -3.5657 -3.5901 -3.6142 -3.6379 -3.6613 -3.6843 -3.7069 -3.7291 -3.7509 -3.7723 -3.7932 -3.8137 -3.8337 -3.1264 -3.1536 -3.1809 -3.2081 -3.2353 -3.2624 -3.2894 -3.3163 -3.3430 -3.3696 -3.3961 -3.4223 -3.4484 -3.4742 -3.4998 -3.5252 -3.5502 -3.5750 -3.5995 -3.6236 -3.6474 -3.6709 -3.6939 -3.7166 -3.7389 -3.7608 -3.7822 -3.8032 -3.8237 -3.8437 -3.1346 -3.1619 -3.1892 -3.2165 -3.2438 -3.2709 -3.2980 -3.3250 -3.3518 -3.3785 -3.4050 -3.4313 -3.4574 -3.4833 -3.5090 -3.5344 -3.5595 -3.5844 -3.6089 -3.6331 -3.6570 -3.6805 -3.7036 -3.7264 -3.7487 -3.7706 -3.7921 -3.8131 -3.8337 -3.8538 -3.1428 -3.1702 -3.1976 -3.2250 -3.2523 -3.2795 -3.3067 -3.3337 -3.3606 -3.3873 -3.4139 -3.4403 -3.4665 -3.4925 -3.5182 -3.5437 -3.5689 -3.5938 -3.6184 -3.6426 -3.6666 -3.6901 -3.7133 -3.7361 -3.7585 -3.7805 -3.8021 -3.8231 -3.8438 -3.8639 -3.1510 -3.1785 -3.2060 -3.2334 -3.2608 -3.2881 -3.3153 -3.3424 -3.3694 -3.3962 -3.4229 -3.4493 -3.4756 -3.5016 -3.5274 -3.5530 -3.5782 -3.6032 -3.6279 -3.6522 -3.6762 -3.6998 -3.7231 -3.7459 -3.7684 -3.7904 -3.8120 -3.8332 -3.8538 -3.8740 -3.1593 -3.1868 -3.2144 -3.2419 -3.2694 -3.2967 -3.3240 -3.3512 -3.3782 -3.4051 -3.4318 -3.4584 -3.4847 -3.5108 -3.5367 -3.5623 -3.5876 -3.6126 -3.6374 -3.6618 -3.6858 -3.7095 -3.7328 -3.7558 -3.7783 -3.8004 -3.8220 -3.8432 -3.8639 -3.8842 -3.1676 -3.1952 -3.2228 -3.2504 -3.2779 -3.3054 -3.3327 -3.3600 -3.3871 -3.4140 -3.4408 -3.4674 -3.4938 -3.5200 -3.5459 -3.5716 -3.5970 -3.6221 -3.6469 -3.6714 -3.6955 -3.7192 -3.7426 -3.7656 -3.7882 -3.8103 -3.8320 -3.8533 -3.8741 -3.8944 -3.1759 -3.2036 -3.2313 -3.2589 -3.2865 -3.3140 -3.3415 -3.3688 -3.3960 -3.4230 -3.4499 -3.4765 -3.5030 -3.5292 -3.5552 -3.5810 -3.6064 -3.6316 -3.6565 -3.6810 -3.7052 -3.7290 -3.7524 -3.7755 -3.7981 -3.8203 -3.8421 -3.8634 -3.8842 -3.9046 -3.1842 -3.2120 -3.2397 -3.2675 -3.2951 -3.3227 -3.3502 -3.3776 -3.4049 -3.4320 -3.4589 -3.4856 -3.5122 -3.5385 -3.5646 -3.5904 -3.6159 -3.6411 -3.6661 -3.6906 -3.7149 -3.7388 -3.7623 -3.7854 -3.8081 -3.8303 -3.8521 -3.8735 -3.8944 -3.9148 -3.1925 -3.2204 -3.2482 -3.2760 -3.3038 -3.3314 -3.3590 -3.3865 -3.4138 -3.4410 -3.4680 -3.4948 -3.5214 -3.5478 -3.5739 -3.5998 -3.6254 -3.6507 -3.6757 -3.7003 -3.7246 -3.7486 -3.7721 -3.7953 -3.8180 -3.8404 -3.8622 -3.8837 -3.9046 -3.9251
surf(X,Y,Z),shading interp
axis('equal','off')
view(167,5)
set(gcf,'Color','k'),set(gca,'Color','k')
colormap(1-jet)
camlight left,camlight right
Remix Tree