November 5th

a=508

a = 508

X=-254:253

X = 1×508

-254 -253 -252 -251 -250 -249 -248 -247 -246 -245 -244 -243 -242 -241 -240 -239 -238 -237 -236 -235 -234 -233 -232 -231 -230 -229 -228 -227 -226 -225

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colormap([flip(hot);flip(pink)])

[t,r]=cart2pol(X,X'-255)

t = 508×508

-2.0337 -2.0321 -2.0305 -2.0289 -2.0273 -2.0258 -2.0242 -2.0226 -2.0210 -2.0194 -2.0178 -2.0162 -2.0146 -2.0130 -2.0114 -2.0098 -2.0082 -2.0066 -2.0049 -2.0033 -2.0017 -2.0001 -1.9985 -1.9968 -1.9952 -1.9936 -1.9919 -1.9903 -1.9887 -1.9870 -2.0344 -2.0329 -2.0313 -2.0297 -2.0281 -2.0265 -2.0250 -2.0234 -2.0218 -2.0202 -2.0186 -2.0170 -2.0154 -2.0138 -2.0122 -2.0105 -2.0089 -2.0073 -2.0057 -2.0041 -2.0025 -2.0008 -1.9992 -1.9976 -1.9959 -1.9943 -1.9927 -1.9910 -1.9894 -1.9877 -2.0352 -2.0337 -2.0321 -2.0305 -2.0289 -2.0273 -2.0257 -2.0241 -2.0225 -2.0209 -2.0193 -2.0177 -2.0161 -2.0145 -2.0129 -2.0113 -2.0097 -2.0081 -2.0065 -2.0048 -2.0032 -2.0016 -1.9999 -1.9983 -1.9967 -1.9950 -1.9934 -1.9918 -1.9901 -1.9885 -2.0360 -2.0344 -2.0329 -2.0313 -2.0297 -2.0281 -2.0265 -2.0249 -2.0233 -2.0217 -2.0201 -2.0185 -2.0169 -2.0153 -2.0137 -2.0121 -2.0104 -2.0088 -2.0072 -2.0056 -2.0040 -2.0023 -2.0007 -1.9991 -1.9974 -1.9958 -1.9941 -1.9925 -1.9909 -1.9892 -2.0368 -2.0352 -2.0337 -2.0321 -2.0305 -2.0289 -2.0273 -2.0257 -2.0241 -2.0225 -2.0209 -2.0193 -2.0177 -2.0161 -2.0144 -2.0128 -2.0112 -2.0096 -2.0080 -2.0063 -2.0047 -2.0031 -2.0014 -1.9998 -1.9982 -1.9965 -1.9949 -1.9932 -1.9916 -1.9899 -2.0376 -2.0360 -2.0344 -2.0329 -2.0313 -2.0297 -2.0281 -2.0265 -2.0249 -2.0233 -2.0217 -2.0201 -2.0184 -2.0168 -2.0152 -2.0136 -2.0120 -2.0104 -2.0087 -2.0071 -2.0055 -2.0038 -2.0022 -2.0006 -1.9989 -1.9973 -1.9956 -1.9940 -1.9923 -1.9907 -2.0384 -2.0368 -2.0352 -2.0336 -2.0321 -2.0305 -2.0289 -2.0273 -2.0257 -2.0241 -2.0224 -2.0208 -2.0192 -2.0176 -2.0160 -2.0144 -2.0127 -2.0111 -2.0095 -2.0079 -2.0062 -2.0046 -2.0030 -2.0013 -1.9997 -1.9980 -1.9964 -1.9947 -1.9931 -1.9914 -2.0392 -2.0376 -2.0360 -2.0344 -2.0328 -2.0313 -2.0297 -2.0280 -2.0264 -2.0248 -2.0232 -2.0216 -2.0200 -2.0184 -2.0168 -2.0151 -2.0135 -2.0119 -2.0103 -2.0086 -2.0070 -2.0053 -2.0037 -2.0021 -2.0004 -1.9988 -1.9971 -1.9955 -1.9938 -1.9922 -2.0400 -2.0384 -2.0368 -2.0352 -2.0336 -2.0320 -2.0304 -2.0288 -2.0272 -2.0256 -2.0240 -2.0224 -2.0208 -2.0192 -2.0175 -2.0159 -2.0143 -2.0127 -2.0110 -2.0094 -2.0078 -2.0061 -2.0045 -2.0028 -2.0012 -1.9995 -1.9979 -1.9962 -1.9946 -1.9929 -2.0408 -2.0392 -2.0376 -2.0360 -2.0344 -2.0328 -2.0312 -2.0296 -2.0280 -2.0264 -2.0248 -2.0232 -2.0216 -2.0199 -2.0183 -2.0167 -2.0151 -2.0134 -2.0118 -2.0102 -2.0085 -2.0069 -2.0052 -2.0036 -2.0019 -2.0003 -1.9986 -1.9970 -1.9953 -1.9937

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r = 508×508

568.8559 568.4101 567.9657 567.5227 567.0811 566.6410 566.2023 565.7650 565.3291 564.8947 564.4617 564.0301 563.6000 563.1714 562.7442 562.3184 561.8941 561.4713 561.0499 560.6300 560.2116 559.7946 559.3791 558.9651 558.5526 558.1416 557.7320 557.3240 556.9174 556.5124 567.9613 567.5148 567.0697 566.6260 566.1837 565.7429 565.3035 564.8655 564.4289 563.9938 563.5601 563.1279 562.6971 562.2677 561.8398 561.4134 560.9884 560.5649 560.1428 559.7223 559.3031 558.8855 558.4693 558.0547 557.6415 557.2298 556.8195 556.4108 556.0036 555.5979 567.0670 566.6198 566.1740 565.7296 565.2867 564.8451 564.4050 563.9663 563.5291 563.0932 562.6589 562.2259 561.7944 561.3644 560.9358 560.5087 560.0830 559.6588 559.2361 558.8148 558.3950 557.9767 557.5599 557.1445 556.7306 556.3183 555.9074 555.4980 555.0901 554.6837 566.1731 565.7252 565.2787 564.8336 564.3899 563.9477 563.5069 563.0675 562.6295 562.1930 561.7580 561.3243 560.8921 560.4614 560.0321 559.6043 559.1780 558.7531 558.3297 557.9077 557.4872 557.0682 556.6507 556.2347 555.8201 555.4071 554.9955 554.5854 554.1769 553.7698 565.2796 564.8309 564.3837 563.9379 563.4936 563.0506 562.6091 562.1690 561.7304 561.2931 560.8574 560.4231 559.9902 559.5588 559.1288 558.7003 558.2732 557.8476 557.4235 557.0009 556.5797 556.1600 555.7418 555.3251 554.9099 554.4962 554.0839 553.6732 553.2640 552.8562 564.3864 563.9371 563.4891 563.0426 562.5975 562.1539 561.7117 561.2709 560.8315 560.3936 559.9571 559.5221 559.0885 558.6564 558.2258 557.7966 557.3688 556.9425 556.5177 556.0944 555.6726 555.2522 554.8333 554.4159 554.0000 553.5856 553.1727 552.7613 552.3513 551.9429 563.4936 563.0435 562.5949 562.1477 561.7019 561.2575 560.8146 560.3731 559.9330 559.4944 559.0572 558.6215 558.1872 557.7544 557.3231 556.8932 556.4647 556.0378 555.6123 555.1883 554.7657 554.3447 553.9251 553.5070 553.0904 552.6753 552.2617 551.8496 551.4390 551.0299 562.6011 562.1503 561.7010 561.2531 560.8066 560.3615 559.9179 559.4756 559.0349 558.5956 558.1577 557.7213 557.2863 556.8528 556.4207 555.9901 555.5610 555.1333 554.7071 554.2824 553.8592 553.4374 553.0172 552.5984 552.1811 551.7653 551.3511 550.9383 550.5270 550.1173 561.7090 561.2575 560.8075 560.3588 559.9116 559.4658 559.0215 558.5786 558.1371 557.6971 557.2585 556.8213 556.3857 555.9514 555.5187 555.0874 554.6576 554.2292 553.8023 553.3769 552.9530 552.5305 552.1096 551.6901 551.2722 550.8557 550.4407 550.0273 549.6153 549.2049 560.8173 560.3651 559.9143 559.4649 559.0170 558.5705 558.1254 557.6818 557.2396 556.7989 556.3596 555.9218 555.4854 555.0504 554.6170 554.1850 553.7545 553.3254 552.8978 552.4717 552.0471 551.6240 551.2023 550.7822 550.3635 549.9464 549.5307 549.1166 548.7039 548.2928

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b=r/1.5-40

b = 508×508

339.2372 338.9400 338.6438 338.3485 338.0541 337.7607 337.4682 337.1766 336.8861 336.5965 336.3078 336.0201 335.7334 335.4476 335.1628 334.8789 334.5961 334.3142 334.0333 333.7533 333.4744 333.1964 332.9194 332.6434 332.3684 332.0944 331.8213 331.5493 331.2783 331.0082 338.6408 338.3432 338.0464 337.7507 337.4558 337.1619 336.8690 336.5770 336.2859 335.9959 335.7067 335.4186 335.1314 334.8452 334.5599 334.2756 333.9923 333.7099 333.4286 333.1482 332.8688 332.5903 332.3129 332.0364 331.7610 331.4865 331.2130 330.9405 330.6691 330.3986 338.0447 337.7465 337.4493 337.1531 336.8578 336.5634 336.2700 335.9775 335.6860 335.3955 335.1059 334.8173 334.5296 334.2429 333.9572 333.6725 333.3887 333.1059 332.8241 332.5432 332.2633 331.9845 331.7066 331.4297 331.1538 330.8788 330.6049 330.3320 330.0601 329.7891 337.4487 337.1501 336.8525 336.5557 336.2600 335.9651 335.6713 335.3783 335.0864 334.7954 334.5053 334.2162 333.9281 333.6409 333.3548 333.0695 332.7853 332.5021 332.2198 331.9385 331.6581 331.3788 331.1005 330.8231 330.5467 330.2714 329.9970 329.7236 329.4512 329.1799 336.8531 336.5540 336.2558 335.9586 335.6624 335.3671 335.0727 334.7793 334.4869 334.1954 333.9049 333.6154 333.3268 333.0392 332.7525 332.4669 332.1822 331.8984 331.6157 331.3339 331.0532 330.7734 330.4946 330.2168 329.9399 329.6641 329.3893 329.1155 328.8426 328.5708 336.2576 335.9580 335.6594 335.3618 335.0650 334.7693 334.4744 334.1806 333.8877 333.5957 333.3048 333.0147 332.7257 332.4376 332.1505 331.8644 331.5792 331.2950 331.0118 330.7296 330.4484 330.1681 329.8889 329.6106 329.3333 329.0571 328.7818 328.5075 328.2342 327.9620 335.6624 335.3623 335.0633 334.7651 334.4679 334.1717 333.8764 333.5821 333.2887 332.9963 332.7048 332.4143 332.1248 331.8363 331.5487 331.2621 330.9765 330.6918 330.4082 330.1255 329.8438 329.5631 329.2834 329.0047 328.7269 328.4502 328.1745 327.8997 327.6260 327.3533 335.0674 334.7669 334.4673 334.1687 333.8710 333.5743 333.2786 332.9838 332.6899 332.3970 332.1051 331.8142 331.5242 331.2352 330.9471 330.6601 330.3740 330.0889 329.8048 329.5216 329.2395 328.9583 328.6781 328.3989 328.1208 327.8436 327.5674 327.2922 327.0180 326.7448 334.4727 334.1717 333.8716 333.5725 333.2744 332.9772 332.6810 332.3857 332.0914 331.7980 331.5056 331.2142 330.9238 330.6343 330.3458 330.0583 329.7717 329.4861 329.2015 328.9179 328.6353 328.3537 328.0731 327.7934 327.5148 327.2371 326.9605 326.6848 326.4102 326.1366 333.8782 333.5767 333.2762 332.9766 332.6780 332.3803 332.0836 331.7879 331.4931 331.1993 330.9064 330.6145 330.3236 330.0336 329.7447 329.4567 329.1696 328.8836 328.5985 328.3145 328.0314 327.7493 327.4682 327.1881 326.9090 326.6309 326.3538 326.0777 325.8026 325.5285

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image(b)

hold

Current plot held

image(b+295,'AlphaData',15E4*abs(ifft2(r.^-1.4.*cos(6*rand(a)))))

image(b-70,'AlphaData',4.5E4*abs(ifft2(1./r.*cos(6*rand(a)))))

ylim([139 a])

axis off

November 5th

Image

Remix Tree

November 5th