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on 5 Oct 2021
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[y,x]=meshgrid(-80:0.5:80,-160:0.5:160)
y = 641×321
-80.0000 -79.5000 -79.0000 -78.5000 -78.0000 -77.5000 -77.0000 -76.5000 -76.0000 -75.5000 -75.0000 -74.5000 -74.0000 -73.5000 -73.0000 -72.5000 -72.0000 -71.5000 -71.0000 -70.5000 -70.0000 -69.5000 -69.0000 -68.5000 -68.0000 -67.5000 -67.0000 -66.5000 -66.0000 -65.5000 -80.0000 -79.5000 -79.0000 -78.5000 -78.0000 -77.5000 -77.0000 -76.5000 -76.0000 -75.5000 -75.0000 -74.5000 -74.0000 -73.5000 -73.0000 -72.5000 -72.0000 -71.5000 -71.0000 -70.5000 -70.0000 -69.5000 -69.0000 -68.5000 -68.0000 -67.5000 -67.0000 -66.5000 -66.0000 -65.5000 -80.0000 -79.5000 -79.0000 -78.5000 -78.0000 -77.5000 -77.0000 -76.5000 -76.0000 -75.5000 -75.0000 -74.5000 -74.0000 -73.5000 -73.0000 -72.5000 -72.0000 -71.5000 -71.0000 -70.5000 -70.0000 -69.5000 -69.0000 -68.5000 -68.0000 -67.5000 -67.0000 -66.5000 -66.0000 -65.5000 -80.0000 -79.5000 -79.0000 -78.5000 -78.0000 -77.5000 -77.0000 -76.5000 -76.0000 -75.5000 -75.0000 -74.5000 -74.0000 -73.5000 -73.0000 -72.5000 -72.0000 -71.5000 -71.0000 -70.5000 -70.0000 -69.5000 -69.0000 -68.5000 -68.0000 -67.5000 -67.0000 -66.5000 -66.0000 -65.5000 -80.0000 -79.5000 -79.0000 -78.5000 -78.0000 -77.5000 -77.0000 -76.5000 -76.0000 -75.5000 -75.0000 -74.5000 -74.0000 -73.5000 -73.0000 -72.5000 -72.0000 -71.5000 -71.0000 -70.5000 -70.0000 -69.5000 -69.0000 -68.5000 -68.0000 -67.5000 -67.0000 -66.5000 -66.0000 -65.5000 -80.0000 -79.5000 -79.0000 -78.5000 -78.0000 -77.5000 -77.0000 -76.5000 -76.0000 -75.5000 -75.0000 -74.5000 -74.0000 -73.5000 -73.0000 -72.5000 -72.0000 -71.5000 -71.0000 -70.5000 -70.0000 -69.5000 -69.0000 -68.5000 -68.0000 -67.5000 -67.0000 -66.5000 -66.0000 -65.5000 -80.0000 -79.5000 -79.0000 -78.5000 -78.0000 -77.5000 -77.0000 -76.5000 -76.0000 -75.5000 -75.0000 -74.5000 -74.0000 -73.5000 -73.0000 -72.5000 -72.0000 -71.5000 -71.0000 -70.5000 -70.0000 -69.5000 -69.0000 -68.5000 -68.0000 -67.5000 -67.0000 -66.5000 -66.0000 -65.5000 -80.0000 -79.5000 -79.0000 -78.5000 -78.0000 -77.5000 -77.0000 -76.5000 -76.0000 -75.5000 -75.0000 -74.5000 -74.0000 -73.5000 -73.0000 -72.5000 -72.0000 -71.5000 -71.0000 -70.5000 -70.0000 -69.5000 -69.0000 -68.5000 -68.0000 -67.5000 -67.0000 -66.5000 -66.0000 -65.5000 -80.0000 -79.5000 -79.0000 -78.5000 -78.0000 -77.5000 -77.0000 -76.5000 -76.0000 -75.5000 -75.0000 -74.5000 -74.0000 -73.5000 -73.0000 -72.5000 -72.0000 -71.5000 -71.0000 -70.5000 -70.0000 -69.5000 -69.0000 -68.5000 -68.0000 -67.5000 -67.0000 -66.5000 -66.0000 -65.5000 -80.0000 -79.5000 -79.0000 -78.5000 -78.0000 -77.5000 -77.0000 -76.5000 -76.0000 -75.5000 -75.0000 -74.5000 -74.0000 -73.5000 -73.0000 -72.5000 -72.0000 -71.5000 -71.0000 -70.5000 -70.0000 -69.5000 -69.0000 -68.5000 -68.0000 -67.5000 -67.0000 -66.5000 -66.0000 -65.5000
x = 641×321
-160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -160.0000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.5000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -159.0000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.5000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -158.0000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.5000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -157.0000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.5000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -156.0000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000 -155.5000
r=sqrt(x.^2+y.^2)
r = 641×321
178.8854 178.6624 178.4405 178.2197 178.0000 177.7815 177.5641 177.3478 177.1327 176.9188 176.7060 176.4943 176.2839 176.0746 175.8664 175.6595 175.4537 175.2491 175.0457 174.8435 174.6425 174.4427 174.2441 174.0467 173.8505 173.6555 173.4618 173.2693 173.0780 172.8880 178.4384 178.2148 177.9923 177.7709 177.5507 177.3316 177.1137 176.8969 176.6812 176.4667 176.2534 176.0412 175.8302 175.6203 175.4117 175.2042 174.9979 174.7927 174.5888 174.3861 174.1845 173.9842 173.7851 173.5872 173.3905 173.1950 173.0007 172.8077 172.6159 172.4253 177.9916 177.7674 177.5444 177.3224 177.1017 176.8820 176.6635 176.4462 176.2300 176.0149 175.8010 175.5883 175.3767 175.1663 174.9571 174.7491 174.5423 174.3366 174.1321 173.9289 173.7268 173.5259 173.3263 173.1278 172.9306 172.7346 172.5399 172.3463 172.1540 171.9629 177.5451 177.3203 177.0967 176.8742 176.6529 176.4327 176.2136 175.9957 175.7790 175.5634 175.3489 175.1357 174.9236 174.7126 174.5029 174.2943 174.0869 173.8807 173.6757 173.4719 173.2693 173.0679 172.8677 172.6688 172.4710 172.2745 172.0792 171.8851 171.6923 171.5007 177.0988 176.8735 176.6494 176.4263 176.2044 175.9837 175.7640 175.5456 175.3283 175.1121 174.8971 174.6833 174.4706 174.2591 174.0488 173.8397 173.6318 173.4251 173.2195 173.0152 172.8120 172.6101 172.4094 172.2099 172.0116 171.8146 171.6188 171.4242 171.2308 171.0387 176.6529 176.4270 176.2023 175.9787 175.7562 175.5349 175.3147 175.0957 174.8778 174.6611 174.4456 174.2312 174.0180 173.8059 173.5951 173.3854 173.1769 172.9697 172.7636 172.5587 172.3550 172.1525 171.9513 171.7513 171.5525 171.3549 171.1586 170.9634 170.7696 170.5770 176.2073 175.9808 175.7555 175.5313 175.3083 175.0864 174.8657 174.6461 174.4276 174.2104 173.9943 173.7793 173.5655 173.3530 173.1416 172.9313 172.7223 172.5145 172.3079 172.1024 171.8982 171.6952 171.4934 171.2929 171.0935 170.8954 170.6986 170.5029 170.3085 170.1154 175.7619 175.5349 175.3090 175.0843 174.8607 174.6382 174.4169 174.1967 173.9777 173.7599 173.5432 173.3277 173.1134 172.9003 172.6883 172.4775 172.2680 172.0596 171.8524 171.6464 171.4417 171.2381 171.0358 170.8347 170.6348 170.4362 170.2388 170.0426 169.8477 169.6541 175.3169 175.0893 174.8628 174.6375 174.4133 174.1903 173.9684 173.7477 173.5281 173.3097 173.0925 172.8764 172.6615 172.4478 172.2353 172.0240 171.8139 171.6049 171.3972 171.1907 170.9854 170.7813 170.5784 170.3768 170.1764 169.9772 169.7793 169.5826 169.3871 169.1929 174.8721 174.6439 174.4169 174.1910 173.9662 173.7426 173.5202 173.2989 173.0787 172.8598 172.6420 172.4253 172.2099 171.9956 171.7826 171.5707 171.3600 171.1505 170.9422 170.7352 170.5293 170.3247 170.1213 169.9191 169.7181 169.5184 169.3200 169.1227 168.9268 168.7320
Phi=angle(x+y*1i)
Phi = 641×321
-2.6779 -2.6804 -2.6830 -2.6855 -2.6880 -2.6905 -2.6931 -2.6956 -2.6981 -2.7007 -2.7033 -2.7058 -2.7084 -2.7110 -2.7136 -2.7161 -2.7187 -2.7213 -2.7239 -2.7266 -2.7292 -2.7318 -2.7344 -2.7371 -2.7397 -2.7424 -2.7450 -2.7477 -2.7504 -2.7530 -2.6767 -2.6792 -2.6817 -2.6842 -2.6868 -2.6893 -2.6918 -2.6944 -2.6969 -2.6995 -2.7021 -2.7046 -2.7072 -2.7098 -2.7124 -2.7150 -2.7176 -2.7202 -2.7228 -2.7254 -2.7280 -2.7307 -2.7333 -2.7359 -2.7386 -2.7412 -2.7439 -2.7466 -2.7493 -2.7519 -2.6754 -2.6779 -2.6805 -2.6830 -2.6855 -2.6881 -2.6906 -2.6932 -2.6957 -2.6983 -2.7008 -2.7034 -2.7060 -2.7086 -2.7112 -2.7138 -2.7164 -2.7190 -2.7216 -2.7242 -2.7269 -2.7295 -2.7322 -2.7348 -2.7375 -2.7401 -2.7428 -2.7455 -2.7481 -2.7508 -2.6742 -2.6767 -2.6792 -2.6817 -2.6843 -2.6868 -2.6894 -2.6919 -2.6945 -2.6971 -2.6996 -2.7022 -2.7048 -2.7074 -2.7100 -2.7126 -2.7152 -2.7178 -2.7204 -2.7231 -2.7257 -2.7284 -2.7310 -2.7337 -2.7363 -2.7390 -2.7417 -2.7443 -2.7470 -2.7497 -2.6729 -2.6754 -2.6779 -2.6805 -2.6830 -2.6856 -2.6881 -2.6907 -2.6932 -2.6958 -2.6984 -2.7010 -2.7036 -2.7062 -2.7088 -2.7114 -2.7140 -2.7166 -2.7193 -2.7219 -2.7245 -2.7272 -2.7298 -2.7325 -2.7352 -2.7378 -2.7405 -2.7432 -2.7459 -2.7486 -2.6716 -2.6741 -2.6767 -2.6792 -2.6818 -2.6843 -2.6869 -2.6894 -2.6920 -2.6946 -2.6972 -2.6998 -2.7024 -2.7050 -2.7076 -2.7102 -2.7128 -2.7154 -2.7181 -2.7207 -2.7234 -2.7260 -2.7287 -2.7313 -2.7340 -2.7367 -2.7394 -2.7421 -2.7448 -2.7475 -2.6703 -2.6729 -2.6754 -2.6779 -2.6805 -2.6831 -2.6856 -2.6882 -2.6908 -2.6933 -2.6959 -2.6985 -2.7011 -2.7037 -2.7064 -2.7090 -2.7116 -2.7142 -2.7169 -2.7195 -2.7222 -2.7248 -2.7275 -2.7302 -2.7329 -2.7355 -2.7382 -2.7409 -2.7436 -2.7463 -2.6690 -2.6716 -2.6741 -2.6767 -2.6792 -2.6818 -2.6844 -2.6869 -2.6895 -2.6921 -2.6947 -2.6973 -2.6999 -2.7025 -2.7051 -2.7078 -2.7104 -2.7130 -2.7157 -2.7183 -2.7210 -2.7237 -2.7263 -2.7290 -2.7317 -2.7344 -2.7371 -2.7398 -2.7425 -2.7452 -2.6677 -2.6703 -2.6728 -2.6754 -2.6779 -2.6805 -2.6831 -2.6857 -2.6883 -2.6908 -2.6934 -2.6961 -2.6987 -2.7013 -2.7039 -2.7065 -2.7092 -2.7118 -2.7145 -2.7171 -2.7198 -2.7225 -2.7252 -2.7278 -2.7305 -2.7332 -2.7359 -2.7386 -2.7414 -2.7441 -2.6664 -2.6690 -2.6715 -2.6741 -2.6767 -2.6792 -2.6818 -2.6844 -2.6870 -2.6896 -2.6922 -2.6948 -2.6974 -2.7000 -2.7027 -2.7053 -2.7080 -2.7106 -2.7133 -2.7159 -2.7186 -2.7213 -2.7240 -2.7267 -2.7294 -2.7321 -2.7348 -2.7375 -2.7402 -2.7429
z=sin(8*log(r+2)+2*Phi)
z = 641×321
-0.9951 -0.9965 -0.9976 -0.9985 -0.9992 -0.9997 -1.0000 -1.0000 -0.9998 -0.9994 -0.9988 -0.9980 -0.9970 -0.9957 -0.9943 -0.9926 -0.9908 -0.9887 -0.9864 -0.9840 -0.9813 -0.9785 -0.9754 -0.9722 -0.9687 -0.9651 -0.9613 -0.9574 -0.9532 -0.9489 -0.9967 -0.9978 -0.9987 -0.9993 -0.9998 -1.0000 -1.0000 -0.9997 -0.9993 -0.9986 -0.9978 -0.9967 -0.9954 -0.9939 -0.9922 -0.9902 -0.9881 -0.9858 -0.9832 -0.9805 -0.9776 -0.9745 -0.9711 -0.9676 -0.9639 -0.9600 -0.9560 -0.9517 -0.9473 -0.9427 -0.9979 -0.9988 -0.9994 -0.9998 -1.0000 -0.9999 -0.9997 -0.9992 -0.9985 -0.9976 -0.9964 -0.9951 -0.9935 -0.9917 -0.9897 -0.9875 -0.9851 -0.9825 -0.9797 -0.9767 -0.9735 -0.9701 -0.9665 -0.9628 -0.9588 -0.9546 -0.9503 -0.9458 -0.9410 -0.9362 -0.9989 -0.9995 -0.9999 -1.0000 -0.9999 -0.9996 -0.9991 -0.9983 -0.9973 -0.9961 -0.9947 -0.9931 -0.9913 -0.9892 -0.9870 -0.9845 -0.9818 -0.9790 -0.9759 -0.9726 -0.9691 -0.9654 -0.9616 -0.9575 -0.9533 -0.9488 -0.9442 -0.9394 -0.9345 -0.9293 -0.9996 -0.9999 -1.0000 -0.9999 -0.9995 -0.9989 -0.9981 -0.9971 -0.9959 -0.9944 -0.9927 -0.9908 -0.9887 -0.9864 -0.9839 -0.9811 -0.9782 -0.9750 -0.9717 -0.9681 -0.9644 -0.9604 -0.9563 -0.9520 -0.9474 -0.9427 -0.9378 -0.9328 -0.9275 -0.9221 -0.9999 -1.0000 -0.9998 -0.9994 -0.9988 -0.9980 -0.9969 -0.9956 -0.9941 -0.9924 -0.9904 -0.9882 -0.9859 -0.9833 -0.9805 -0.9774 -0.9742 -0.9708 -0.9672 -0.9633 -0.9593 -0.9551 -0.9506 -0.9460 -0.9412 -0.9363 -0.9311 -0.9257 -0.9202 -0.9145 -1.0000 -0.9998 -0.9994 -0.9987 -0.9978 -0.9967 -0.9954 -0.9938 -0.9920 -0.9900 -0.9878 -0.9853 -0.9827 -0.9798 -0.9767 -0.9734 -0.9699 -0.9662 -0.9623 -0.9582 -0.9539 -0.9494 -0.9447 -0.9398 -0.9347 -0.9294 -0.9240 -0.9184 -0.9126 -0.9066 -0.9997 -0.9993 -0.9986 -0.9976 -0.9965 -0.9951 -0.9935 -0.9916 -0.9896 -0.9873 -0.9848 -0.9821 -0.9791 -0.9760 -0.9726 -0.9690 -0.9653 -0.9613 -0.9571 -0.9527 -0.9481 -0.9433 -0.9383 -0.9332 -0.9278 -0.9223 -0.9165 -0.9106 -0.9046 -0.8983 -0.9992 -0.9985 -0.9975 -0.9963 -0.9948 -0.9932 -0.9913 -0.9892 -0.9868 -0.9843 -0.9815 -0.9785 -0.9753 -0.9718 -0.9682 -0.9643 -0.9603 -0.9560 -0.9515 -0.9469 -0.9420 -0.9369 -0.9317 -0.9262 -0.9206 -0.9148 -0.9088 -0.9026 -0.8962 -0.8897 -0.9983 -0.9973 -0.9961 -0.9946 -0.9929 -0.9910 -0.9888 -0.9864 -0.9838 -0.9809 -0.9779 -0.9746 -0.9711 -0.9674 -0.9634 -0.9593 -0.9550 -0.9504 -0.9457 -0.9407 -0.9355 -0.9302 -0.9247 -0.9189 -0.9130 -0.9069 -0.9006 -0.8942 -0.8875 -0.8807
surf(x,y,z),shading interp
colormap(cool)
set(gcf,'Color','k'),set(gca,'Color','k')
axis auto off
view(-180,77)
camlight head,camlight left,camlight right,camlight(0,-90)
alpha(0.7);
Remix Tree