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on 13 Oct 2021
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[x,y,z]=sphere(20)
x = 21×21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.1564 -0.1488 -0.1266 -0.0919 -0.0483 0.0000 0.0483 0.0919 0.1266 0.1488 0.1564 0.1488 0.1266 0.0919 0.0483 0.0000 -0.0483 -0.0919 -0.1266 -0.1488 -0.1564 -0.3090 -0.2939 -0.2500 -0.1816 -0.0955 0.0000 0.0955 0.1816 0.2500 0.2939 0.3090 0.2939 0.2500 0.1816 0.0955 0.0000 -0.0955 -0.1816 -0.2500 -0.2939 -0.3090 -0.4540 -0.4318 -0.3673 -0.2668 -0.1403 0.0000 0.1403 0.2668 0.3673 0.4318 0.4540 0.4318 0.3673 0.2668 0.1403 0.0000 -0.1403 -0.2668 -0.3673 -0.4318 -0.4540 -0.5878 -0.5590 -0.4755 -0.3455 -0.1816 0.0000 0.1816 0.3455 0.4755 0.5590 0.5878 0.5590 0.4755 0.3455 0.1816 0.0000 -0.1816 -0.3455 -0.4755 -0.5590 -0.5878 -0.7071 -0.6725 -0.5721 -0.4156 -0.2185 0.0000 0.2185 0.4156 0.5721 0.6725 0.7071 0.6725 0.5721 0.4156 0.2185 0.0000 -0.2185 -0.4156 -0.5721 -0.6725 -0.7071 -0.8090 -0.7694 -0.6545 -0.4755 -0.2500 0.0000 0.2500 0.4755 0.6545 0.7694 0.8090 0.7694 0.6545 0.4755 0.2500 0.0000 -0.2500 -0.4755 -0.6545 -0.7694 -0.8090 -0.8910 -0.8474 -0.7208 -0.5237 -0.2753 0.0000 0.2753 0.5237 0.7208 0.8474 0.8910 0.8474 0.7208 0.5237 0.2753 0.0000 -0.2753 -0.5237 -0.7208 -0.8474 -0.8910 -0.9511 -0.9045 -0.7694 -0.5590 -0.2939 0.0000 0.2939 0.5590 0.7694 0.9045 0.9511 0.9045 0.7694 0.5590 0.2939 0.0000 -0.2939 -0.5590 -0.7694 -0.9045 -0.9511 -0.9877 -0.9393 -0.7991 -0.5805 -0.3052 0.0000 0.3052 0.5805 0.7991 0.9393 0.9877 0.9393 0.7991 0.5805 0.3052 0.0000 -0.3052 -0.5805 -0.7991 -0.9393 -0.9877
y = 21×21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.0483 -0.0919 -0.1266 -0.1488 -0.1564 -0.1488 -0.1266 -0.0919 -0.0483 0 0.0483 0.0919 0.1266 0.1488 0.1564 0.1488 0.1266 0.0919 0.0483 0 0 -0.0955 -0.1816 -0.2500 -0.2939 -0.3090 -0.2939 -0.2500 -0.1816 -0.0955 0 0.0955 0.1816 0.2500 0.2939 0.3090 0.2939 0.2500 0.1816 0.0955 0 0 -0.1403 -0.2668 -0.3673 -0.4318 -0.4540 -0.4318 -0.3673 -0.2668 -0.1403 0 0.1403 0.2668 0.3673 0.4318 0.4540 0.4318 0.3673 0.2668 0.1403 0 0 -0.1816 -0.3455 -0.4755 -0.5590 -0.5878 -0.5590 -0.4755 -0.3455 -0.1816 0 0.1816 0.3455 0.4755 0.5590 0.5878 0.5590 0.4755 0.3455 0.1816 0 0 -0.2185 -0.4156 -0.5721 -0.6725 -0.7071 -0.6725 -0.5721 -0.4156 -0.2185 0 0.2185 0.4156 0.5721 0.6725 0.7071 0.6725 0.5721 0.4156 0.2185 0 0 -0.2500 -0.4755 -0.6545 -0.7694 -0.8090 -0.7694 -0.6545 -0.4755 -0.2500 0 0.2500 0.4755 0.6545 0.7694 0.8090 0.7694 0.6545 0.4755 0.2500 0 0 -0.2753 -0.5237 -0.7208 -0.8474 -0.8910 -0.8474 -0.7208 -0.5237 -0.2753 0 0.2753 0.5237 0.7208 0.8474 0.8910 0.8474 0.7208 0.5237 0.2753 0 0 -0.2939 -0.5590 -0.7694 -0.9045 -0.9511 -0.9045 -0.7694 -0.5590 -0.2939 0 0.2939 0.5590 0.7694 0.9045 0.9511 0.9045 0.7694 0.5590 0.2939 0 0 -0.3052 -0.5805 -0.7991 -0.9393 -0.9877 -0.9393 -0.7991 -0.5805 -0.3052 0 0.3052 0.5805 0.7991 0.9393 0.9877 0.9393 0.7991 0.5805 0.3052 0
z = 21×21
-1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9877 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.9511 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8910 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.8090 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.7071 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.5878 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.4540 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.3090 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564 -0.1564
s=surface(x+18,y,z)
s =
Surface with properties: EdgeColor: [0 0 0] LineStyle: '-' FaceColor: 'flat' FaceLighting: 'flat' FaceAlpha: 1 XData: [21×21 double] YData: [21×21 double] ZData: [21×21 double] CData: [21×21 double] Show all properties
s.FaceColor='r'
s =
Surface with properties: EdgeColor: [0 0 0] LineStyle: '-' FaceColor: [1 0 0] FaceLighting: 'flat' FaceAlpha: 1 XData: [21×21 double] YData: [21×21 double] ZData: [21×21 double] CData: [21×21 double] Show all properties
s.EdgeColor ='none'
s =
Surface with properties: EdgeColor: 'none' LineStyle: '-' FaceColor: [1 0 0] FaceLighting: 'flat' FaceAlpha: 1 XData: [21×21 double] YData: [21×21 double] ZData: [21×21 double] CData: [21×21 double] Show all properties
axis square off
hold on
x=-6:.04:16
x = 1×551
-6.0000 -5.9600 -5.9200 -5.8800 -5.8400 -5.8000 -5.7600 -5.7200 -5.6800 -5.6400 -5.6000 -5.5600 -5.5200 -5.4800 -5.4400 -5.4000 -5.3600 -5.3200 -5.2800 -5.2400 -5.2000 -5.1600 -5.1200 -5.0800 -5.0400 -5.0000 -4.9600 -4.9200 -4.8800 -4.8400
z=randn(551)
z = 551×551
0.7752 0.6828 -2.1960 1.2001 1.1636 -0.1456 -2.5238 1.4673 0.9411 0.3507 1.9761 -0.2978 -0.2501 0.6889 -0.5693 0.5012 0.8554 -0.6113 -0.2824 -1.3462 0.0172 1.5113 2.6109 -0.7186 0.6098 1.5118 1.3469 0.4915 -1.1380 0.1967 -1.2220 0.9383 2.1223 1.1616 0.7495 -0.5376 0.0688 0.4843 -1.1311 -1.2905 1.0969 -0.1238 -0.8159 0.0716 -0.1152 -0.2983 2.1152 0.3178 2.0348 -1.2582 0.0835 -0.6782 -0.2013 -0.4651 -0.9493 0.4014 2.1782 -0.0976 -1.5463 -0.9690 0.8302 0.4210 -0.2942 -0.8442 -0.9105 -0.4124 -1.2877 0.8315 -1.2151 -0.5205 1.3930 -0.3893 1.4626 -1.6331 -1.2665 1.4230 0.1194 0.6042 -0.1046 -1.1504 -1.7552 1.8261 1.7757 1.3027 -0.1181 1.3333 0.5446 0.7697 -1.2941 -0.8341 0.0456 0.4152 1.1952 -1.5366 0.2112 0.0038 -0.2641 -0.2452 2.2339 0.8507 -1.0717 -1.3518 0.3860 -1.3824 1.6951 0.0806 -1.0514 -0.7373 0.1219 0.0796 -2.0306 -0.0331 -0.7689 -0.6136 -0.0448 -2.0052 -0.4929 -0.7506 0.2223 -1.9169 0.2517 -1.2802 -1.3032 0.0418 1.3459 0.0151 -0.0997 -0.2426 1.2451 -0.0750 -1.6670 -0.8198 -0.5795 -1.1280 0.0424 0.7818 -1.8586 0.5646 -1.2964 0.3622 -2.9295 -0.5726 0.7105 0.3165 -0.7277 0.1628 1.1935 0.5813 -0.0846 0.1613 -0.7584 2.1668 0.5195 2.3092 1.1130 -1.0432 -1.2670 1.0530 0.0299 0.2229 -1.8201 -0.0180 -0.4923 0.5813 1.9916 0.6613 1.2490 0.6009 0.2620 -0.8946 0.5852 -0.4116 -0.4415 1.5980 -0.3266 1.0690 -0.2565 1.0776 1.6329 -0.5572 -0.2882 0.7927 0.7980 -0.0139 0.0228 -1.0290 0.9672 -0.1346 0.4990 0.2800 0.8115 -0.6192 0.6626 0.2655 -0.2989 -0.3056 -0.6563 -0.3164 -0.7714 0.1683 1.5672 -2.3147 -0.9664 0.0140 -0.8160 -0.0868 0.6934 -0.1320 1.5593 0.1791 -1.0201 -0.9616 0.7578 -0.1033 0.1338 0.9951 -0.7343 -0.3111 -0.0004 -0.6256 -0.1211 -0.1019 -1.3660 0.4315 -1.9034 0.9630 -1.4144 0.9212 0.8031 -0.0515 0.6554 1.2756 0.9929 0.7954 0.0028 0.5875 0.3259 1.2265 0.6852 -0.3347 -0.3674 0.1505 -0.5041 0.3524 0.2833 -0.0581 1.5622 0.0938 -0.1615 -2.3833 0.5571 -0.8356 -1.5883 1.8800 0.1114 0.2135 -0.3735 -0.1131 -0.1149 -1.1111 -0.5926 -0.1317 0.5899 0.6601 -0.8464 0.6961 -1.2325 -0.9139 0.9868 -0.9165 -0.2068 0.7390 -2.0665 0.3929 -0.9398 -1.6270 -0.3068 -0.4270 1.2251 0.1892 0.3312 0.1600 -0.4177 1.2304 1.2968 0.7660 -0.0096 1.0125 -0.0466 -0.3686 0.0107 -0.8638 0.1039 0.1121 -0.8955 -1.6673 1.7198 0.3922 0.7966 -1.3216
surf(x,x,max(z/1-1.2,-3),z/15+.5,EdgeC="g")
axis equal off
view(36,9)
[X,Y,Z]=cylinder(0.3)
X = 2×21
0.3000 0.2853 0.2427 0.1763 0.0927 0.0000 -0.0927 -0.1763 -0.2427 -0.2853 -0.3000 -0.2853 -0.2427 -0.1763 -0.0927 -0.0000 0.0927 0.1763 0.2427 0.2853 0.3000 0.3000 0.2853 0.2427 0.1763 0.0927 0.0000 -0.0927 -0.1763 -0.2427 -0.2853 -0.3000 -0.2853 -0.2427 -0.1763 -0.0927 -0.0000 0.0927 0.1763 0.2427 0.2853 0.3000
Y = 2×21
0 0.0927 0.1763 0.2427 0.2853 0.3000 0.2853 0.2427 0.1763 0.0927 0.0000 -0.0927 -0.1763 -0.2427 -0.2853 -0.3000 -0.2853 -0.2427 -0.1763 -0.0927 0 0 0.0927 0.1763 0.2427 0.2853 0.3000 0.2853 0.2427 0.1763 0.0927 0.0000 -0.0927 -0.1763 -0.2427 -0.2853 -0.3000 -0.2853 -0.2427 -0.1763 -0.0927 0
Z = 2×21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Z=Z*10
Z = 2×21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
surf(X,Y,Z)
surf(X,Y+3,Z)
surf(X,Y+6,Z)
text(-8,30,4,"🕺",'FontSize',100)
Image
Remix Tree