One of the important aspects of cartography and data visualization is color choice. This vignette illustrates the palettes included with biscale
, provides an overview of palette manipulation tools, and describes the revised approach to utilizing custom palettes.
Palette Manipulations
In order to facilitate even greater flexibility with palettes, biscale
functions include two additional arguments to manipulate their arrangement.
“Flipping axes” will invert the colors assigned to the x and y axes. Flipping axes is accomplished with the flip_axes
argument:
bi_pal(pal = "PurpleOr", dim = 3, flip_axes = TRUE)
“Rotating” the palette (with the rotate_pal
argument) will rotate the colors 180 degrees, resulting in a palette that highlights low values as opposed to high values. Rotating the palette rotates the entire color scale 180 degrees. For example:
bi_pal(pal = "PurpleOr", dim = 3, rotate_pal = TRUE)
These manipulations can be combined as well, producing a palette that has been both flipped and rotated:
bi_pal(pal = "PurpleOr", dim = 3, flip_axes = TRUE, rotate_pal = TRUE)
Together, these changes to bi_pal()
result in the following shifts to the "PurpleOr"
palette:
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When applied to real world data, these transformations result in subtle (in the case of flipping) or more dramatic (in the case of rotating) differences in maps:
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D+tJqiRuIb2CTfHIojClSrKY1UHOeDyeoNZFN1ql78z+8ShG2xuDWkb/XWMDe6GRD+jEfpUg1PTG+/azJ/uSqf0ZP61z9FarF1ltITpQ7HfRf2WtgcTzRteICN0QIUK/cq/cj0qn9it2/1V7Cf94SIf1TH61DdjYYYf+eUMa/mN3/s1Va+mpNuCctzz2tXY0P7Lum/1TRS/7k0Z/Tdn9KX+yNU/59Zceu04/Pp+tZ1JgYx2rURpfYFi5vLiOH/ZUiV/yQkD8SKVX05GCQwPcMxABmbavP8AsJz/AOP1m1bsFDXkO77obcfovP8ASk9NWIm1aQS6hMwAUAhQF4AwMcVnVNLf6PPK8hkuELMTzGjDk+zj+VA/s6T/AFd/GPaRJEP6Kw/WuaOLovaRp7OS6ENbehriaeX+5C35txWeLQv/AKme3k/3ZowfyZgf0rodK069js7mQwOS5VRtG7IHJ6ZrHGVo/V5uL6GtCN6sU+42invHJEcSIyH/AGgR/OmV+en1QVetflt7qT/YC/8AfRqjV5Pl06U/35FX8hmqRMtijRgGiipKLMN7eW//AB7zyRf7jkfyNaCa/qq/flEv/XRFf9SM/rWNRVxqSj8LIlCMt0dGniJ/+W1pE/uhdD/Mj9K3tP1GC8tLkxQvE3yry4Yde3yivPq7HRU2aYW7ySk/goxXpYSvVlUUXLQ8/FUacabklqaNPjXdIq9ckUyo55RBbzznpHG7foa91nkHhmvSTS6zdy3CNG7St8rAg4BwODWRV+PVL1F8tnEsR58uUCRefQNnH4YqTzNLuP8AWRvaP/eiPmJ/3yx3D8GP0rynqdi0MyitM6XPIC1kyXaj/nkcv+KHD/pis5kdDh1Kn0IxSHckgt7i6k8q2ieVzztQFj+Qq/qLrHFBp4IZrYMHYdNzHJA9cdM9/pimmRrXT0jTKyXLF2I4JReFGfTOTWZTDcKKKKQz0XSPih4o0Xwpc+ELORBaTgqkmMSxKxy6qw7N78jtXCWd9fafMLmwuJbaYdHidkb81INVaKpybtdkKEVey3PdfDPx/wDGGjJHa6ukWsW6cbpcpPj/AK6DOT/vKa9o8OftB+D9Xm+z6xDNozk4V5D5sR+roAV/Fce9fEVHSt4YmpHqctTBUZ9Leh+tfhC4stVlGoafPHdW4TKyRMHU59wSK9DrwH9nPwU3hPwBDe3abLzWG+1SA9QhGI1/75wT7mvfq9iDbimz5qrFRm4xd0FFFFWZhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABUFzMLe3kmP8Ck1PXP8AiK48uzWEHmVv0HNAHEMxZizdScmkoooAcq7mC+tKzfwrwo/X3pT8iY7sM/hUdAGRqWhaXqzLJexEyKMB1JVsehI6/jVa28JeH4j/AMeokwCcyMzf1x+ldBUkeCSpOCwwPzrRVJpWTHcz307TpFCPaQsoGADGvH6VnS+GNAlzuskUn+6WX+RFbtFJTktmFzkJfBGhv9zzov8AdfP/AKEDWRfeBrO3t5bmO8kVYkZyGQNwoz2K16NWD4nm8jQbtu7KEH/AiB/Ktqdao5JXBNnjswtZn3JMVGAAHQjoMfw7qi+zZ+5NE3/Atv8A6EBVaivYsWWfsdyfupv/AN0hv5E0fY7kcumwerkL/wChYqtgUUagWfLtk/1kpc+kY4/76bH6A1MkkXkTmOIL8oXJJZuSO/A6A9BVCuu8O+HhrdncM05gCyKAQu7OAfcetROSiryA5GivQJfAF0B+4vI29nVl/lurLl8Fa7H9xI5R/sOP/ZsVKrU31Fc5OutsV2WMC+qlvzJP8qzJfDmvQgl7GUgf3Ru/9BzXRNaXFvHHG8TrsRV5UjoMV4mdVF7BRT3Z6WAX7xvyIaKKK+MPdCp5+PLX0Rf15/rUFT3XE7D+7hfyGKfQXUgpQSpypx9KSikMJMSjbMBIPRwGH65rNl0bSJ/9ZZxZPdQU/wDQSK0qK0VSS2ZPKuxzcvhTR5OY/OhP+y4I/Jgf51w+tQpa6jLaRMXS3CxgngnaAD+tevINzqp7kCvF76b7Te3Fx/z0kZvzJNelhak5X5mZTSWxVr1b4UWXm6ne32CfIhCA+8jZ/kteU17x8KbcxaPd3fQzT7QfZFH9Sa9GC944sVK1JnqFFSeZn74De/Q/nRtQ/dbHs3+NdZ4JHRTijDkjj17UiruYL60APjBBEhGFXnPr7UwnJJ9aV23Nx07D2ptABUcsUc8TwTKHjlUo6noVYYIP1FSUUAct4V8GeH/BdpPZ+H7cwpcymWQs29iT0XcedqjhR2+pJrS1rQNF8R2j2WuWUV7E4wRIoLD3VvvKfcEGteip5Va1tC3OTlzN6nztrH7OHhi8m83RtRudOU5zEwE657YJKsBn1Jrw7xT8FPHHhnfPFbDVbNMnzrPLkD1aP74/AEe9ffVW7G2a7uo4F/iPJ9AOtc88LTlsrHbTx9WO7uY3wB8PP4d+FmjwzRmOe9V7yUMMHMzErkf7m0V7NSABQFHAHApa6Ix5UkcU5ucnJ9QoooqiAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAP/9b7+ooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKwvFGtReHPDmpa9NjbYW0k2D0JRSQPxOBW7XzR+1J4mOj+AYtEhfbNrNwIyB3ii+d/12is6kuWLkbUYc9RRPzxvLqa+u5724bdLcSNI5PdmOSfzNVqKK+fPsDS0n5bzz+0EbyfiqnH/jxFZtaVn8tnfS/9M0jH/AnB/kprNpiW4UUU5VZ2CICzMQAByST0ApDNA/JpC/8ATa4Y/hGox+rGs2tPUAsENtZblaSFWMm05AdmJxnoSBjOMjNZlNiRLBDLczR28C7pJWCqB3J4FbknhjVlJCCGXH9yaP8AkSD+la2g2AsrcajKP386kRD+5GeC31boPQc9xWrXJVr8rsjrpUOZXY7yTbQ29o2N0EKI2CD82MtyOPvE02iivPlLmbZ6EY8qSCiiipKCrFooe6hVvul1z9M8/pVenh/JiuJ+nlQSsPrsIH6kVcFeSRE3aLZ5tczG4uJbhusrs5/4Ec1DRRXsnjBQAAcjg0UUAXItR1CD/UXU0f8Auuw/katjXdU/5aTCX/rrGkn6spNZFFWpyWzJcU90bQ1uQ/620tpP+AMn/oDLVuLXbRIpomsNomAVjHKwwAwbjcH7iuaorZYqstpMh0oPodEL7R36rcxf98Sf1Sp5o4FhhuIJTJHMGI3LsYbTg5GT3HrXLV75oCvbeH9Ptv4fIDlWAIzIS/Q5H8Vd2HxtRy993RhUpJLQ8lor2KWw02f/AF9lbvnuECH802ms6Xw1oUvSCSE/9M5T/Jw9eosVB7nPys8ur0TwhFs0y4mP/LWcKPpGuf8A2emnwKbyZINHud0rnCxzjbk9fvrkfmAPeupstA1TQtJt7fULZomy7ORhlyzED5lyPugd6ivWhKFosEtRaPNFur3B6Qo0n/fClv6UVk6/P9m0HUJuhMPlj6yME/kTXmSdk2bWvoeEEliWPU8mkooryjuCtCHVb6GH7M0nm2+QTDL88eRnBCnoRk8jB96z6u6fAlxeRxzf6pcvJ/uINzfoDTQnbqXNXkjUW1pFEIPLjEkiKSR5kuGP3iTwu0YycEGsaprid7q4kuZfvysXP1Y5qGhglZBRRRSGFFFFABVzTtPu9W1C20vT4zLc3kqQxIP4nchVH5mqdfU/7LXgc614quPGN5Hm00RdkBI4a5lGOP8AcTJ9iy1pThzyUTGtUVODmz7g8GeGLPwb4W03wzZY8uwhVGYfxv1dz7sxJ/Gunoor30rKyPkG23dhRRRTEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeQ/HTxK3hj4aatdQttnuUFrF67pTtyPoDmvXq+Hv2tvExe60fwlC/yxhryZR6n5Uz/AOPVhXlywbOrC0+erFHxkOBiiiivCPrDSs/3dnez/wCwIx9XYA/pms2tL7mkf9dZx/44p/xrNpsSCiipre3lupVghG52/AD1JJ6AdzSGXL75Layh9Iy5+rsR/JRWbV/UpIpLkLCwdIkSMMOh2jkjgcZzVAAk4FNiWxas7Oa9mEEO0HBYljhQAMkk9hWjHoV80ihTDIuRkrNGePoWB/Sr6wjTrb7IP9fKAZ29O4QfTq3vx2qvXs0MvUoKU3ZnJOu72iWr11ku5mQ5XcQPoOB+gqrRRXtpW0OUKKKKYBVq2by1uJ/+ecLn8TwKq1JK3l6XdP8A3yifmcmufES5aUn5FwV5JHM0UUV8iemFKpKHKHafUcUlFAGjDq+rW/EF7Og9BI2Pyziri+JdZH35ll/66RRt+pXP61hUUPXcFpsdOnim5/5bWltJ9FdD/wCOuB+lXl8W27QLby2BVQ27McxHOMdGVv51xVFQ6cX0L9pLudwmv6M/31uYv+ApIP8A0Jf5VsSqiMAjblZQwJGDgjPI5rzSCMzTxwjne6r+ZxX0g0siqsBIZI1ChXAYYAx0YGp+pxqL3dC1i5Qfvanm1Fd89vYy/wCts4W9wpQ/+OFaqvpGkyf8spYv9yTI/JlP86yll9VbWZusdTe6Zxdd3Zp5enWqdyhf/vo1Q/4RWa63nTJhLsGSkuI2x7HJU/mK6G7s57MpFNGyBVVQSODgdj0P4V04LD1ITcpxsc+LrwnFRiypWJ4ln+z6BevnBZBGP+BGtuuN8dT+XosUA6zTD8lGa9Oo7RZ50d0eR0UUV5p2AOCCOCK2IdSvbporO6xeJnaqz5Yrn+62Qy/gcVj1p6d+6869P/LBPl/324FNCY3VZo5r1xCuyKLEaKDnAXjqfes6iikCCiiigYUUUUAFej/Cfwa/jrxzp2isha1V/Puj2EMZBIP+8cL+NecV+gv7Lfgc6N4Yn8XXse251ggQ5HIgT7v/AH0cn6YrehT55pHLiqvs6bfU+pYoo4IkhiAVEAVQOwHAqSiivdPkwooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK4PxBcebfGMdIgF/E8mu5kcRxtI3RQSfwry+aVppnmbq5J/OgCKiilAyQPWgB0nBC+gAplOc5dj702gAp8f3wfTJ/IUypFG1Sx7jAoAjooqhqeowaVZSXs/IThV7sx6D/Pamk27IBt1q+mWMwt7y6SGQjcFYnofwxXJeMtUsp9JjgtLiOYySgkIwbAUHrj3Nec3t5PqF1JeXLbpJTk+3oB7CqterTwyi1K+pdgooorsGFFFFABXsPgqHytDV8cyyO35Hb/AErx6vd9Ah8jRbKPp+6Un6tz/WuLFv3LCZr0UUV5RAUu5h0JpKKAGPFFJxJGr/7yg/zqo+l6bJ962j/Abf5Yq9RUOnB7o0VSa2ZjNoGlsciNl/3WP9c1Xm8N2srs6zSKWJPIB6/lXQ0Vi8LRe8TZYqsvtHE3vh9rS3kuVnDrGMkFcHrj1Nc7W18SL+ax8PKLeRopJ50UMhKnABY8j6CvEIvEetxdLtnHpIFf/wBCBrza+Cjzfu9D2MLWnKF5nqtFeeReMdRXiaGGX8GU/ocfpWnB4ytWIF1avGO5Rg36EL/OuN4Sotjs50dXcS+RbTz/APPKN3/EKSP1rxSvR9U17SrrT7qysruOS6dExDnbJhyD904J+X0zXnJBUlWGCOoNd2GpyhF8ysZykm9BK+l/ANt9m8KWPGDKHlP/AAJjj9MV80fSvrnSrYWWl2doOPJhjT8QoBr0aS1PNxz9xIv0UUV0HjjlZkOVJB9qkDfIzEDPQEcdf/rVDT34VV/E/j/9agBlFFFABRRRQAUUUUAFdj4btNkT3jjl/lX6Dr+Zrk4IXuJkgj+85wK9OghSCFIY+FQAD8KAJaKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAP/1/v6iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAr84/wBqHxL/AGz8Qho8T7odGgWLA6ebJ87/AI8gfhX6IahfQaZYXOo3TbYbWJ5pD6Kilj+gr8gNZvNR8Wa9qWvSLua8uJJ5HYhUXexOCxwBjtzXDjJWio9z1suhebm+hzlbUkr6SgtYNouTzOxVW2ntGNwIGP4vfjtUayWmnHfbuLm6H3ZACI4z6rnlmHYkADsD1rKJLEsxyTySa8rY97c1V1i48toZIbeRHILAwouSuccoFPc96j+12L/62wQe8Ujr/wChFx+lZtFFx2RpZ0d+q3MX0ZJP6JWnZW+m29vLqEd6Ukz5UPmxFcMw+ZvkL/dU8e5Brmq09R/dLb2Q6Qxhm/35BvP5ZA/Cmn1E10E/s7dzFd20n/bTYf8AyIEp8eianNIsccPmb2C5jZZBycfwE1lUmB6UtB6nrV7bzRTOphdI0+VcqQNq8D9BVLIrz2G+vrb/AI9rmWL/AHHZf5GtFPEetr967aQf9NQsn/oYNcMsNd3udscTZWsdjRXLp4ovh/rYLaX6xlP/AEWy1aTxPbn/AF9hj3ilK/o4f+dZvDS6M1WKj1RvUVlp4g0d/vpcxfgkn/syfyq0mqaLJ9292H/prG6/+ghxWboVF0NFXpvqWqr6g/laRfP/AHkSIfVnB/kpqwklpL/qby2k/wC2qqfyfaaz/EaSW+jRhh8s9x94EMCI19Rkfx+tXSpyU1dEVqkXB2ZwdFICD0pa9I80KKKKACiiigDUtTFBYTXUkEc7GVI1EmSANrFsYIPpTftdg/8ArLBV94pHX/0IuKJfk0m3X/npPK/5Kij+tZtMm1zRJ0dweLmE/VJP6R1795S26pbocrCiRg4xwihenPpXz5p8H2nULW2/56zRp/30wFfQ0rb5Xb+8xP5murD9WY1ehHRRRXWYnS+E4vM1hX7RRu35jaP/AEKvTAxGcHGevvXC+DIhvvLg9lSMf8CJJ/8AQRXc15GLl+8sbQWhSOmaYZTMbOEuRgnYMc/7P3fxxmvJPivaaLpuhQoEkgN7cBT5RDACNSxO1j6kcBhXtFfO/wAcbzde6Tp4P+rikmI93YKP/QKzp1Jt2bK5Vc8c/sx5ubCaO6/2VO2T/vhsE/8AAc1nyRyROY5VKOvVWGCPqDTK0E1O7VBFMVuYhwEmG8D6E/Mv/ASK20NdTPrTh/0fTZ5zw1ywgT/dXDyH/wBBH4mvQPDPw8/4TPRZ9V06YafLFOYVjl3PE+FDEhh8y43Ac7qyPFPgzxPo0n7/AE+Q2NsvlxyxfvE2jksxTO0sSWO7HXHajQm6ODooznpRSLCiiigAooooAkhhmuZo7a3QySysERF5LMxwAPcniv1r+GHguHwD4J07w6oH2iNPNunH8dxJ80h9wD8o9gK+IP2ZvA3/AAk3jc+IbyPdY6ABMMjhrlsiIf8AAcF/qB61+j1epg6dk5s8HMa12qa6BRRRXoHjhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAjEKCzcAcmvyb+LviQ+KviJrOqK26JJjbxemyH5ePqQT+NfpR8T/Eq+EvAmsa3u2yQ27LF7yP8AKg/M1+TkNjdXKm5kIjiJ+aaU7VJ74PVj7KCa87GS2ij2sth8VR+hWhhkuJUhiG53OAPc1pzX5sz9k08p5cfDOUR/MbufmB47AenPeomuLa0jaGwJeRxtedhjg9Qi9QD3J5PtWZXm7HtbmsdXlkjWGe3tpUQkgeUE5PXmPZ6VH9q05/8AWWO3/rlKy/8AoYes2ii47I0saO/e5i/BJP8A4itP7NYW2n/ub4LLeZ5ljdSI1PT5N/3j+grnYkMsixjqxA/OrmpyB7x0T7kP7pfonH6nJ/GncTXQf/Zjt/qbi2l+kqqfyk2mtLSdEv31CAyW7PGrbmKYcYXnqpNc3RgA5HWhNJ3aBp2tc6meO5V2e5jdGYknepHJ69ar5B6Vlw6lqNuMQXU0Y9FkYD8s1aGu6n/y0lWb/rrHG/6spP617kczj1icjw76Mt0VANaJ/wBdZ27+4Dof/HHA/SpBqmnP/rLORPeOX+jqf51vHMKL30IdGY+inC70d/8AlpcRf70auPzDj+VSD+z3/wBXfxD2kWRP/ZSP1reOLovaRDpyXQho1A7NKjX/AJ6zE/gox/OrYs2f/UzQS/7s0efyLA/pVPX45bZbO3mUoRGX5/2znrXPjasXRfK73LpL30c9RRRXzZ6AUUUUAFFFFAGwZILSztt1rFM0oZmL7s4zgYKsuKh+06a/+ssin/XKVh/6GHo1L5TbRf3IE/XJrNp3JSOo0GDSbrWbOOM3EbGUEBgjjjnkgp/KvaGOWY+pJrxrwVF5niGBv+eau/5CvY67KGzZhU3CiiiukyOj0RcQTyf3mVfy5raV3UFQflPUHkH6g8Gs/S02acn/AE0Zm/LirtfSYSFqKTPExEr1GN8q1wR9mhw33vkHP+H4Yrxr4ljSlu7Ow3SWxWNpMj94mWPGRww/M/SvZ6+cfiNc/aPFNwgORAqR/kOf5152aRhCirR1udeBcpVNWcu2l3LKXtSt2g5JhO4ge6cOPxWs3ocHqKVWZWDKSrDoRwRWj/ak0g23yJdj1lHz/g64b8yRXy+h7upm1p3H+j2EFt0aY+c/06L+nNeh2Pw4/tPT7PVrO4EQnXzGt5ueOwWQDv7gfWuL17Q9f06d7jVbOSFWPDgbo8dgHXK9Petp0KkI80o6MyjVhJ8qepztFFFYGwUUUUAFFFFAHX+AvCdz438W6d4btwcXUg81h/DEvLt+XA9yK/XPTrC20uwt9Os0EcFtGscajgBVGBXyX+yp4G+xaVd+Ob6PEt+TBa5HIiQ/Mw/3m/QCvsCvYwtPlhzPqfN4+tz1OVbIKKKK7DzQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAxteuPJsGUH5pSFH071wFdJ4jnMl0lsvIjGSPc//AFq5/YF/1h/Adf8A61ACKABvbt0HqaUSuDng49hTWbd7AdBTaAJN4PVB+o/rSZjP8JH0P/1qZRQBKqxuwUMRn1H/ANehgGOVYYHAHI4/KmrwrN+H50ygB/lt2wfoRXnPj77UfslusbmMBnYhSRk8Dn8K9DpQSOhxWlOfJLmsNM+cOhwetFfRMtvbzjE8SSf76hv5isuXw9oc337GLP8Asjb/AOgkV3rGR6odzwqivY5fBegyfdjkiP8AsOf/AGbNZkvgCzb/AFF5Kn+8qt/LbWqxVNjujy+iu+l8AXg/1F5E/wDvKy/y3Vmy+Ctej+4kco/2ZB/7NitFWpvqFzlFUuwRerEAfjX0TDGIokiHRFC/kMV4/pvhvWY9UtBc2cixiVSzY3ABTk5IyK9lIIPNcWLmnZITEooorgJCiiigAp8YBdQemaZT4/vE+gP8qADep6oPwyP60ZjPUEfQ/wD1qZRQB5F8W5lEGmWyk8tLIQfYKB/M14pXqPxWn36zZ2+f9Vb5/FmP+FeXVyT+Jnv4ZWpRCj6UVLAF86Pd90MCfoOT+lQdJ5V4llEuvXhHSOTyx/2zAX+lOs/Eus2aiMT+fGvRJx5gH0J+YfgRWNcTNcTyXD8tK7OfqxzUVe9yq1mc56H4Y8RanqWvafpl1HFcrd3MUf3RGyhnAOCmBgD1Br71KoT8jY9jx+tfCPwhsft/xB0sEZW3Mk5/7Zocf+PEV91Vy1YpPRHm4t+8kOZWX7wxTacrMv3TisvXdYttC0a91q6jLx2ULSsqHaW29AM8ZJ4rE4kr6I1EXcwB6d/pSMdzFvWvN/D3xb8D6+giS+Fjcvx5V5iI/QPkof8Avr8K9GVldQ6EMrDII5BHsabTW45RcdGhaKKKRIUUUUAFFFPijeaRYkGWcgD8aAOn8N2eWe9cdPlT+p/pXXVBa26WtulunRBj/E1PQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAf/9D7+ooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA8M/aG8UweGvhxdwuC8uqutoiBtuQ3zPkjnG0YOOee1fmdc3lxd7RK2ET7kajaij/ZUcD+Z719T/tY+Jft3inTfDET5j0y3M0g/6az/AOCBfzr5OrxsVO82ux9NgafLST7hRRRXIegFFFFAChS5CDqxwPxrb1qyvk1G5d7aVUDkBijAYHA5x6VT0pQb+J2GVhJlP0jBf+mKrrdXMbmSKZ42Y5JVivX6Gn0J6lckA4PWitIaxqmMPcvIPSTEg/8AHwaP7Tkb/W29tJ9YVX9U2mjQepm0V3yaVo81pbTTWhjkmiEjeVKyjLZIwH39sVXfw7pL/wCrnuIv94JIP02Vi6sE7NmypTaukcTRXWP4XU/6m/jP/XSN0/8AQQ9VX8MakP8AVPBN/uyqD+T7TVKcXsyXCS3RztFa8nh/W4xk2MzAd0XePzXIrMlilgO2dGjPo4Kn9asgjr6r+D9ksHgsSsoxeXMshBGQQuEGR/wE18qZHWvtXwPZ/YfB+j25GD9mRz9ZPnP/AKFWdR2iRIvXPhnw3ektdaTZyk9zAmfzABrnrv4Y+BrsknTBCT3hkkT9NxX9K7yisOeXcmx5zD8J/A0UTRNZyyljne8z7x7AqVGPwryzx98N49JuLMeFraWSOWNmlV5VYghsDaG2t/OvpmvOvGL7tSij/uQr+pLf1rpw6c5WbFKTWqPly40HXLUZuNPuEA7mJsfmBislsodr/KfQ8Gvo9WZDlCVPscU6SRphifEo9JAHH/jwNdzw/Zk+1fY8AvfltbGL0hLn6vIx/lis2uo8ZMh8RXMUaqiwiOMKihVG1FzgAADnPauXrlkrOxtHa50PhOEz+JNOQAttl34HP3AX/pXtp4OD1rzz4R25n8b2sg/5d4ppfp8m0fq1fWMqRzjE6JKP9tQ38waqNdU9GjKcW2eI0V65LomjTffs4wfVMp/6CQKzpfCWkSf6szRH2YMPyIz+tbrF03uZ8jGeEYtmlySn/lrMfyUAfzJrqKgtNPj0u0hso3MgRd24jBJclumT61PXmVpc020awWgV8nfFy8+1eNbiIHItYooR9du8/qxr6yA3EAd+K+IvF17/AGh4p1W8ByJLqXaf9kMQP0FOkt2WtznaKKQ9DW5Z9h/DKw+weCNNUjDXIe4b/toxx/46FrvQSDkHBrI0BI49A0tIvuLZwAfTy1rWrkn8TMjlNa8D+Fdf3NqGnxiZv+W0P7qTPrlcA/8AAga+Z/Hfgm48H6gojZp9PucmCZhzkdUfHG4fqOR3A+w6xPElvoNzolynicL/AGaoDyljtK7ehUjkPnhccnp3q4Td7Mex8OUVJMYjNIYARHuOwN1254z74qOug0CpYIJrmaO2tkaWaZgiIoyzMxwAB3JPAqKvrn9mL4Xvqmp/8LD1mH/QrFilgrD/AFk44aUf7MfQH+9/u1pTg5yUUY1qqpwc2fU3wh8BJ8O/BNnokoBvpc3F447zyAZAPcIAFH0z3r0+iivejFRVkfJTk5ScnuwoooqiAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA+Rv2q/FsNhpOmeF0QSzXchuXVj8oWLhdy9/mIIHTjmvhC4uZ7qTzbhzI3QE9h6AdAPYcV7F8fvEv8AwknxN1Jo33Qafts4/T93y3/jxI/CvF68OvPmmz6vCU+SlFBRRRXOdYUUUUAaWjxNNqltGqliZAcDknFQXFrexsz3FvLGWJJ3oy9fqKn0/wDdpdXP/POIgfV/kH86rRXl5b/6i4kj/wBx2X+Rp9CepVyPWlrT/tjUm4km80f9NVWT/wBDBoXUS7BZbS2kycf6vZ/6LK0aD1MyiuuvLTR0uHh+yOmw4zHMRzgZ4dX75qkdO0p/uTXEX+8iSD8wyfyrteBrWukYqtA56it06PA3+pv4vpIkiH9FYfrUR0O9P+peCb/cmQH8mKn9Kxlh6q3iy1Ui+pj0VpSaNq0Q3PZzY9VQsPzGRWc6tGdsgKn0PBrBprctNPYQ9K+stDtRbaDYWTqGRIEBVgCORnoeO9fK9hCbm9t7cc+ZIi/mRX16FEYEY6IAv5DFe9k8E5TkzycxlZRRkzeH9AucmfTLRye/koD+agGsS4+H/hG4yfsJhJ/55SyL+hLD9K7KivelhqMt4L7jyo1qi2kzjD8PfCBiERsm+UffEsm8/U5x+leW+J/AuoWOqyxaJZyS2gClfnV25HPAIb9K+hgMkD1rlNVbfqE59Gx+Qrycww1KMY8sbHoYStUcnd3PnK40jVrTm6sp4gO7xsB+ZGKzgNzBO5OK+kUkkj/1bFfoSP5UHZO6/aESYA5/eIr9Of4ga8N4fsz1PavsfP8AqrA38oHRMKPwArOq3fyedfXEo6NIx/U1Urle5utjvfh9A0mpXUyqT5cB6DONxxXqNcx8JI3T+0rtSVPyRgjg+teyO5k/1wWX/fVW/mDXvYTBSqUVNM8rEYlQqOLRwVFdm1nYSfftU/4CWX+Rx+lQf2Np0rBV82PcccMGHPsQD+tbSwNVbamaxdN7lqBPLtLeP0jBP1PNSVLMAsrIvRflH4cVFXu048sFE8qbvJsVcbhnpmvk3xBcm81u+uSc75n/AEOP6V9T304trK4uDwIonb8lNfIbMZGZz1Ykn8a+fzmesInrZbH4pDafHGZZFiXq7BR+JxTK1dCVH1qxWT7pnTP5188ld2PYbsrn1VZW4tLK3tVGBDEifkP8atZOCOzcEdj9R3pW+831NNr9DjFKKifHt3dzkdW8DeG9XDM9sLSY/wDLW3+Tn1KD5D+QPvXz5rmi3mg6jJp16PmTlWH3XU9GHsa+sa4b4gw6IdBefV1HnoCLQg4fzD1Ax1Xuc8D614uYYKm4OpCya/E9LCYmakoS1TPnCiiivlT3wrqfBfhPUPG/iWy8N6cD5l0/zv2jjHLufoP1wK5av0X/AGcfhe/hDQG8TazDs1XVlBVWHzQwdVX2LdW/Adq3o0+eVuhy4muqUHLr0PoLQ9Hs/D+j2ei6egS3soliQD0UYrVoor3T5Ru7uwooooEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFISFBJ4ApazNYuPs+nysDgsNo/H/61AHDXl0bi5llXgOxPviqdFFABRRRQAUUUUAS7WMQwCeT0/CojkdeKkfjao7D+fNIJJB0Y/nQAyin+Y3fB+oFYfiLV30jTvtcMSPIZFQBs45yT0PtVRi5OyA2aK83i+IDcfaLEfVJMfoQf51pxeO9If8A1sU8f4Kw/Q/0rZ4eoug7M7Wiudi8WeH5v+XvZ/vqw/pitSHVNMuP9RdwvnsHXP5ZzWTpyW6FYvUUD5hleR6jmioA8/8AilqDaZ4C1aeNyjvGsSkHBzI4HB+ma+NbDxz4y0wBbLW7yNR/CZWZfyYkV9MfH6++z+ELWyBwbu7XI9RGpJ/Uivj2uukvdPUw0VyanqVn8ZviHaNubUVuR/dnhjYfmqqf1rfb4/eM2tmiFtYrMcYlEb5H/AS5U14dRWnJHsbulB9D6c8C/GbxDrev22la4llHayBzLOFaMqFUkH75XrgdK+irfVNMu/8Aj1vIJs/3JFJ/IGvgjwbHm+uZf7kBH4s6j+Wa7zA9K4K8lGVkiJYSM9VofZWDjOOPWnJwrn2x+Zr5At9R1CzObS6mhx/cdl/ka9n+Gmq6xqZvzqN5LcxRCNUEh3YJ3E8nnoPWso1Luxy1cI4RcrnqtFFHXitThPnL4jyNJ4puMghY440BPT7oJ/U1wlcn461/UW8b63PZ3c0SfbJFAR2Awh2DgHHasOLxZrkf35km/wCusaN+oAP60PCyeqZ9BTlaCR6RUN1L5Fjdz9PLgkI+pUqP1IrjYvGk4/4+LKF/eNnQ/qWH6VYv/ENtqGiXiQwSQuxjjO5gy4LbuCAp/g9KmOHmpK5o5KxwdFFFeoZnvv7Plj53iTUdQI4trQID7yuP6Ka+t6+ev2ebHy9E1XUSOZ7lIgfaNM/zevoWuKq/ePIxDvUYV5H8btS+weAriBThr6eKAfTPmN+iV65Xzr+0RJINJ0WIf6triZj9Qi4/mammryRFBXqI+Va6bQfGXijwyw/sTUprdAcmLO6I/WNsr+lczRXfY9lpPRn1t8OfjK/iLUE0LxNHDb3UwxBPHlUkf+4ykkKx7EHBPGBxXv1fmapcMpjyGBG3b1z2xjvX378PrjxRdeFrSbxbGI70jC5BEjRgDa0o7OeSRx2yM5rkqwS1R5uIpKPvRO1ooorA4grp/DtiXkN9IPlThPc9z+FYNnayXlwsEfVup9B3NelQQpbwpDGMKgwKAJaKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigD//R+/qKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAPy2+P2m6jp3xV1o6gxk+1Os8LHvE6jaB/u42/hXmmj6Smp+eZZjAkCqchN+SxwBjcvoe9fef7Svhi0utL07xObKGeS2c20zuuWEb8pyMHAYH86+P41t4I3jtbeOASFWbZu525x95j6npXzWLqKnUlHqfZ4CLq0oy6bfcc6/hf/njfwt/10WRD+isP1qq3hjVB/qzBL/uTID+TFTXV0V56xUuqPUeFj0ZxUmga3GMtYzEeqoXH5rkVmSxSwHbMjRn0cFT+tekDg5HB9qsi9vFXaJnI9CxI/I8VosUuqM3hX0Z55ZER2d7cDrtWFfq5yf0U/nWbXT+J9QlnvpNPCxpDauVGxFUsw4LOQMsfTsO1cxXacIUh6UtKAzEKvU8D60DPUZk8pkg/54xpH/3woH9KhqS7vdLkvJlF9ErhyGDh15HXkrjr70JGs3+omhm/3JY2P5Bs/pXlVKc+Zux6tOpDlSuR0VZazvEGXgkA9dpx+eKrHg4PWsWrbmyaewDg5HBqyL27UbRM+30LEj8jxVaihNrYGk9zV0vTP7f1KDTjbQSGZvmZoU+VRyzEgA8DPevptI44Y0hhUJHGoRFHQKowB+AryfwL/Z2i2732obxc3ajYVXcFi6juDljz06AV6RHrWkS/du0X2cMv8xj9a3jWjbllLX1PPr0Zt3jDT0NKimRywTf6mWOT/cdW/kalZHX7ykfUVstdjhaa0Y2vLvE8m/W7gf3Nif8AfKgV6jWD4plxosm/ks6ICeSOSePyrsws7Tt3MprQ8trS0fT/AO1tVtdN3FBcyBCw5IB6n8qza1tBuLi11uxntMeas6Bd3T5jtwfYg17KOeV7Ox7HqPwb+HeqyNPdaYRNJy8sc0qMx9ThsZP0rkbz9nPwPPk2l1f2p9pEkH/jyZ/WvfT1orodGD3ieFHE1VtJnz7oXwgsvh/ezazbanJeiaP7OsckQQruIYncGOfu46V1Vdl4nfFvbx+rsfyA/wAa42vnsYlGq4xPfws5TpKU3qFTwhQskjKG2rwD0ySB2/GoKnHy2zH+84H5A/41yI6WPeaGU7pIsHgfIxHTjvmm4tm6M6/UA/qCP5VXoouFhLySOys7i+81CttE8p6g/IpbuPavgR3aR2kblmJJ+pr7M8f3n2HwXq8wOC0HlD6ysE/kTXxjXTT2KiFITgE+lLSqGZlVQWZjgADJJ9Md60LPuLw1ZTab4d0ywuJDLJBbRqzEY7ZAxk/dBC574rbrmPCF54jvtEjuPFFqtpeFjtVRtLR/wsyfwHtj8cCunrkn8TMlsFUNU0uw1qwm0vU4hNbTjDKeoPZlPZgeQe1X6KlOwz4s8Y+FLzwjq7afOfNgkG+3mxgSJnv6MvRh6+xFcpX2D8S9ETWvCN4RGHuLFftMJxyNnLgfVM5HsPSvnz4cfDzWviT4hTRNJ/dQoBJdXLDKQRZ6n1Y9FXufYEjsp3nawOaim5PY1vhL8MdR+JviNbBN0Ol2pD31yB9xOyKenmP0Hpye1fqXpWl2GiabbaRpcK29paRrFFGvRVUYA/xPesTwZ4N0PwJoMHh7QIfLgi5d25eWQ/ekc92P6DgcAV1Ve7QoqmvM+axWJdaWmyCiiiug4gooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKimV3hkSM7WZSAfQkcVLRQB+OPiywvtL8T6tp+pktdQ3cokY/xEsTu/4EDn8ags9Mt57P7VcXDQ7nKKFj35wMkk7lx1HrX1N+0x4dg0rxXa69HYwNFqkWJHZOTLHxyQQeVI/KvmmSYPGkKRJDHGWIVM9WxkncSe3rXJSy9ufNP4T6aOJ5qacdykdGjb/U30J/31kQ/wDoJH61GdDvz/qjDN/uTR5/IkH9KtUV0yy2k9mxqvIz5NG1aIZezmx6hCw/MZFZzq0Z2yAofRhg/rXRKzIdyEqfUcVqWd7fy3EVubiRkdgCGYsMfRsisJZZ1UvwLWIfVHNH91pIx1uJv0jH+LCs2tLVNRl1K58x1RETKxpGoRQufQdSe5PJrNrxX5HWvMKuafF599bxf35FH61TrU0T/kLWpztAkBJ9AOvSnHdXB7M1LiTzbiWX++7N+ZzUNWNlnISYL63YHoGLIf8Ax9VH61Kun3T/AOpVZv8Ark6SforE19fGtTl8MkeW4tbopUVZks7yHmaCRB6sjD+YqrkdK1EOVmQ7kJU+o4q4NS1ADabiRh6Odw/JsiqVKqszBVGSTgD1JpNJ7gd14Ksn1XWFuJ7eBorT94z+Uind/CAVA5zXtfXk1574d1bQNB09dOnkkS4zumfy9ylz2BBJwOnSush1/Qp/9Xfw59HJT/0MCu6lhnBXUbX8jzK83OXka1FNieOcZt5EmH/TNlf/ANBJqRlZDhgVPuMVZzCxDMij3FcRcvvuZW9XY/rXagkHI4IrK16Vngt1kJZizHJ5OBx1rzMfTvFTvsd2EnaXLbc5muv8E6Hb67rQt7vJgiQyOo/iHTaT2BrkK774bz3EXiWOKHGyZGEmf7o54968SO6PRqtqDaOvvfgd8Nb0lhpr2zNzmGeRf0ZmH6Vyl5+zf4QmybLUb+2PbcY5B+qKf1r6GorZ0ab+yeLHFVltJnzZb/D+D4exHT4b1r77U3m7mjEZAHAGAzZqWuy8cS79YWP/AJ5xKPzrja+gw0FClGKIlOU3zS3CrkLrBCJjGrsX43Z4AHsRVOrM3ywwp7FvzNbskUyWzkl4mUnn5H/owP8AOk2WrfdlZP8AeTP6qT/Kq1FFgOd8byLZeFdQmSVGLoIxgkHLnHQgV8s17/8AFG58rQIbcHmecZ+ijNeAV8jms717dkfQ4CNqV+4Vp6LbSXmr2dtE2x5JlAYDOOc5xWZWtoUupQatbTaRD595G2Y0278n3HpXlRtdXO+WzsfWbDBxndjjJ4z7/jSVXs3u5LSF7+NYblkBljQ7lVu4BqxX6FF3imj5BqzsFYPiPw9ZeJLA2d1hJUyYZscxt/VT3H49a3qKmpTjOLhJaMcJOLUo7nyJqOn3WlXs2n3qbJoWKsP6j1B7VSr3D4qaUslna6zGg8yJvJlYdSpGUz9CCKu/BL4MXPxGvv7W1cNBoFo+JGHDXDDrGh9P7zfgOenxNfDShWdJH0sMTF0vayOm/Z5+Dz+KtQj8ZeIYSNIsnzbxuOLiVT190Q/mfpX6FABQABgDoKq2FjZ6ZZw6fp8KwW1ugjjjQYVVUYAAq3XpUqSpxsj53EV3VnzMKKKK2OYKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuc8SI7Wkbr91H+YfXpXR1S1GB7qwuLeIgSPGwQnnDY+U8+9AHmg61x6+N9F3lJFmTBIztBH6HP6VyEnjDxDC0lvM0e9SUbMYBBHB6YrkOvNelTwu/OVY9ui8VeH5el4qf76sv8AMYrTh1LTrj/UXcL/AEkXP5Zr5+pMA9ap4OPRjsfR4G4ZXkeopQNzBfU4r51jmmhOYZHjP+yxH8q9P8EXF9dR3FzdXMsojYIiu5YDjJOD36Vz1MNyR5risd45y5PvTaKK4yQrgfH0uLO0g/vyM3/fIA/rXfVynirQbzWY7ZrMxgxFwd5IznHTg1vQaVRNjW545RXSy+EfEEX/AC7eYP8AYdT/AFzWVNpOq2/+vs5k9yjY/PFewpxezLM+jAPWlYFDhwVPoeKSrAkimmhOYZGjPqrEfyrVh8Q65B/q76XA7M24f+PZrGqnqF/DpllLfTttEYwvG7Ln7oxkZ55PPQGlyqWlrhucB8VvFd5rl5aaTcyiU6eGZyFA+eTHBwB0AGffNeSVvT6d9qmec38ckkjFmMiupJJySflYfrVY6LfH/VeVN/1zlQn8sg/pXNKjOO8bfI9am4xiopmVRV2XTdRgG6a1mQepRsfnjFUqxNjvPBkZEF9PjvEmf++if6V2FeR6bc30NzHFY3EkDTOq/u3K5ycDOOtexXDbp5G9WP8AOvLxUbS5u5pB9CGsPUfiX4k8FX39m+HJI4QypLOZI1k3sy5UYYcBQex5J+lbleWeP4bZNTtpo8+dNArSjt8pKKR77V5rzasmo3izaMYydpK6PSLP9o/xnDgXljYXQ7kLJGf0cj9K7LSP2k/tN3BbX3h8hpZFTdDcZ5Y46Mn9a+Sq1dDGdWtm7RsZP++FLf0rGFeo5JXFPCUbN8psX9w15f3N23JnleQ/8CYn+tVKKK+sOYcql2CL1YgD6mty7vrSKSewFlEYFlOCjOrHZlQSdxHT2qhpahtRty3RHDn6J8x/QVRZi7Fm6k5P40CL+dJfqtxD9Ckg/kn86Pstk/8Aqr1R7So6f+ghx+tZ9ITgE0DPuX4O6b/ZvgKxBKs1y8s5ZDkHc5AOfoBXqFc/4UsP7M8MaTp+MGC0hU/XYM/rmugrz5O7bPCqO8mwrwD9oG/sotA0/TZ4i9zcTtLC4IATywA2RjkMHx1HIr3+vFvjVp3hK60EXWuXX2XUoEb7DtJZ3JOSvlg8q2OWI+X17GqfxIuh/EVz40oooruPaFBIIIOCOQRX138Ivia3iGNfDOvSZ1KFP3EzH/Xoo5B/6aKP++hz1Br5DqxaXl1p91DfWUhhuLdxJG68FWU5BqJRUlYyqU1NWZ+llOVWdgiAszHAA71i+HdWj8QaHp+sQci9hSTA7Mw+ZfwbIr1LR9IFmouJxmZhwP7o/wAa4GeK1Z2LGk6athB83Mz8sfT2Fa1FFAgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAP/S+/qKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAOY8Z6AnifwtqWhuMtcwsI/aRfmQ/99AV+ZEsTwyvDKCrxsVYHqCOCK/V6vz2+NXhz/hHfHt75S7bfUMXcXp+8++B9HBrws2pXjGovQ+myOvaUqL66nk1FShYFljt55hHcTjMMWMs3cZ/uhv4c9T2xzUVfPOLVm0fVKSd0mFTWyeZcxRn+J1H5moant28uQy/880d/++ULf0oirtIJO0Wzza+m+0XtxP8A89JGb8zmqtHeivaPFCr2mIJNStUPTzUJ+gOT+lUa0tK+W5eb/nlDK/47CB+pFNbiexRlcySvIerMT+ZqIgHrS0UhksU88BzBK8Z/2GK/yrTj8Q63GABeyuB2kPmD8nzWPRQB0SeKNRH+tjt5v96IL+qba6fw1fjXdTSzmsUWJQZJnikddqL7Nv6nCj615tXtPgOyjttB+1gfvbyRix/2YyVUfTO4/jXHipRp03O2p14aMqlRQudq7F2LHAz2HQDsB7Cm0UV8o3fU+sStohMCvQfC8Tpp0kzEnzpMAE8YQY/mT+Vef16zZW/2Syt7Y9Y4wG/3jy36k134GN5uXY8rM6lqSj3LNcD4sn1TzDb3CKLPzC8LqvXjgEjuAeh5ruZ54bWB7m5bZFGMk/yA9SewrzDUdevL+5MgOyAcLCeV2/7Q6EnufyxxX1WDi7uVtD5SozDrpPCEH2nxPpsfUCYOf+AZb+lZPkxXXNp8kneInr/uE9foefTNdn8NbKWfxMs2w7bWN2Y46FhtA+vJr1orVHLVlaEmfQ9FHTrRXYfOHHeJ3zPBH/dQn8z/APWrmK2/EL79TZf7iqv6Z/rWJXyuJlerJ+Z9Vho2pRXkFTycQRL67m/M4/pTh5ccKFow5ck5JI4HA6H61HLIJCNq7VUAAZzWOxuRUUUVIzyj4yXf2fwjHbA4N1dRr9Qisx/XFfPXhvwtrHiq8+yaVFlUx5sz8Rxj1Zv5AZJ7Cvpjxn4Wk8YatpemzO0Wn2aSXFw69SXIVEUnjcdrc9hz6V22nabYaRZx6fpkCW1vF91EHfuSepJ7k8mujm5YoE+x4/YfBDSY1VtU1Oedv4lhVY1/AtvP8q9I0Lwb4a8NkSaTZKkw/wCW8hMkv4M3T/gOK6aisnOTAKKKKgAooro/D3hq+8QT4iHl26n95MRwPYep9vzqoQcnyxWpMpqK5pPQzNM0u61i7WxtI/MZ/vZ+6F7lvavZ/h/8P9B+HWh/2Locf+scyzTN9+Vz3Y+ij5VHYD1yT0mk6Np+i2/2exj25+855Zj6k/5FatfRYXDeyV3ufPYrFOq7R2Ciiiu44AooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDxT4++F/wDhI/h7eSwpuudMIu48dcJ98fiua/N6v2FureK7tpbWYBo5kKMD3DDBr8ofGXh+Xwv4q1PQJFI+yTsqe6E5Q/8AfJFdVF6WPSwk9HE5iirzWaqskZmU3MS72hAyVXvk9MjqV6gdao1tGcZfCzvsFXLE7JjL/wA8o3f/AL5UmqdTodlneyekJX/vshf61nWly05PyHFXaRyo6UtFFfHnqBWlpnyyyzf88oZG/HaQP1rNrStPksL2XuVSMf8AAmBP6CmhPYzaTANLRSGWIru7t+YJ5Iv9xyv8jV4a7q3R7gyj0lVZP/QwayaKpSktmJxT3RtDW5T/AK61tpP+AFD/AOQ2Wui0a4tpkkvzaeU0XyxkSEqXP+ywJ4HP3q4OvQ/KW2ggtE4WJAT7swySa+hyaNSvXtKT5VqzgxfLCGi1Y0kk5PJNJRRX6GeKHQ5HWvctBgkttGtIpWLMU3nJzy3OOa8Z061a9vre1UZ81wv4Z5/SvfSAvyr0XgfQcCuDFy0USJsdGVEilsY9+lcvq0l686peRrGUBC7BhSCeoOTmuimmitYTcT/d6Kvdj6fT1NczJqVxPIxucSxt/wAsz90D/Z/u49vxr5XHzi7RT1O3CQesrGdXpfwug8zXZp/+eUJ/8eOK4BrZZFMtoS6jlkP31+o7j3FeufCizkCX18V+Vtsan1xya8uC95HTiJWpSPYKKKOnJ7V1ngHiXimXztduj2UhfyFc9V3UpfP1C5l/vSN/OqVfQQVopGgVZuuJQn9xQP0qSQwQssbQhiACTuIJPX3H6VVlcySNIRjcc4pgMooopgeL/Fm5zPp9mD91HkI+pwK5Dw14K1XxH+/TFrZg4M8gJBPoi9WP6e9ew33hODXPEkmqaupe1tlSKGHoJGAyS3+yD2712qqqIsaKFRBhVUYAA7ADoK+fWAdetKrU+G/3nrfW/ZUowhuea2nws0CEg3dxc3RHUArEp/ABj/49Xd6bpWmaPCYNLto7ZD97YPmb/eY5Y/ia0KK9alhaNN3hE4J16k9JSCiiiuowCiivT/BXw8uddZNR1ZWgsOqjo8v09F9+/aonNRV5AcnoXgCTx8s2mXKsmnMAJ5RwRgggIf73H4V9X6Loum+HtKttG0iBbe0tEEcaKMAAf1Pc1ZsrGz022SzsYlghjGFVRgVbrxas1OfNYTm2uXoFFFFZEBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHyx8SdI/srxPPIi4ivAJ1+rfe/8ezXAV9H/ABa0j7ZocWqRrmSyf5v9x+D+RxXgOmaXeatcC2s0yerMeFUepNezQqJ0030LRnUVo6rpk+k3r2U53FcFWHRlPQis6uhNNXQwr17wPF5eimT/AJ6ysfywP6V5DXuHheLytBsx3ZC3/fRJ/rXJi37gmb1FFFeSQFPbhUHtn9aZUkn3segA/SgCOlBI6cUlFADZESUYlVXHowB/nWZNoejT8y2MJJ7hAp/8dxWrRVKTWzA5iXwboE33YHiJ/uO39c18pfEbUbOXXJNI0qRnsrBim5iDvl6OcgAYHQfT3r6m8eaxNoXhLUtStW2TrGEjb0aQhcj3AJIr4YJJJJOSeTX0OVwlK9ST8jamuolFFFe+bF6wle3la4RiggRpDg45UfL/AOPYrkySTk966G4bydLlPe4kEY/3V+Zv1K1z4BZgqgkk4AHJJNfP4+d6tux20V7tzufByabLvSWGKW+jlEkIfO4gD+HBAJBGcdfauy781iaDog0dBc3AzfMP+/I9Af7/AKnt0Heup86K64u/lk7Sgdf98Dr9Rz9a+YxElKejOuOhRryHxzL5niB4/wDnjDEn/jgY/qxr2aS1nR1jK5MnCFeQ2eOD3rwnxUzyeIL+ZkZFMzBSwIyq/KDyB2FedX+E6aXxHP1s6GMXE8v/ADyt5D/30BH/AOzVjZB6VvaQNtpfS+oij/76Yt/7JWWGjerFeZrUdoMkooq9p8cTSySTIJEhidypJAJAwucEH7xHQ19aeaO0/wCU3M3/ADzgf83xH/7NWfWi95B9nlhgthC020MwdmGFOcANk8nHftWdQAVo6RZnUdWsdPUZNzcRRf8Afbgf1rOr0D4W2kd1470ppyFhtXe5kZuAqwoz5J9AQKTdlcmTsmz7zwka9lRB1PAAH9BXiXiX46eG9GunstJt5NWkjOGkRxHDn0DkMW+oXHoTXjPxG+K2peLJptL0p2tNGUldq8POB/FIf7p7J09cmvH654UusjipYZbzPcdZ+Pfiy/jaHSre30xW43qDLIPoz/KP++a8Zvr+91O6e91G4kubiQ5aSVizH8TVSit1FLY7IwjH4UFFFFUWFABJAHJPArQ0vStR1u/h0vSbZ7u7uG2xxRjLE/0A7k8DvX3p8KPgPpPhCKHW/EyR3+t8OoPzQ2x7BAeGcd3PfpjqYlNR3MqlWMFqXfgH4R1/w/4QiPiaPymkkaa1gbO+KOTB+cdiTkgds888D3uiiuFu7ueNKXM3IKKKKRIUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAH//0/v6iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAr5q/aY0gDwnb+K4Lfzp9Ll8ts/dEc3G5vUKwHHvzxX0rWB4q0G38UeG9S8P3IHl39u8OT2Zh8rfg2D+FZVaanBxZvh6rpVFNH47S3NxPcNdyyM0zNvL553dc16LFci/tYdQGAZgRIB2kXhvz+99DXn9/ZXGm31xp90pSa2kaJ1PZkJBH5irVhrN7p0bQw7HiZtxSRAwzjGQeo4HY183Vp88bH2lKpyS5uh29NnfyrC9l/uwMP8AvshP/ZqwE8UH/ltYQt7o0iH9WYfpUs+v6bd2U1o8E8BmCgsrLIAAc9CE64HeuWGHkpJs6Z4iLi0jj6K0vs2mv/q74r/11iZf/QC9H9ms3+pubaX6ShD+UmyvQscFzNrSsvktL6X/AKZrGPqzg/yU0o0bUzysG5f7wZSo+rA4H51bS2t4LCWC6vIYpJJUYqhMp2oG/wCeYK9W/vU0hNowaK0vsVo/+qv4fpIsiH/0Ej9aP7KuW/1UkEv+5NHn8iwP6UrDujNorQfSdTjG5rSUr6qhYfmMiqDKyHa4Kn0PFILiAEnAGSegFfRmk2LaZpVnp8n+sgiAfH99iWYfgSRXkXgnTBqGtxzSDMNkPPbPQsDhB+LYP0Br23JPJ614mZ1dFTXqe3llLV1H6BRRRXhHvGjpNsLvUreAjKlwzf7q/Mf0Fem3NxDbxSXd04jjTlm+vYDuT2FcT4aENt9r1W6bZDboE3e7noPUkDAHvWDrGsT6tPub5IE/1cfp7n1Y9zX0uV4VyhzPZnyua1r1eRdB2s61Nq0wGPLt4z+7j/q3qx/TtWLRRX1CSSsjwwrqtF8TSaefIu1MkTHJdf8AWKemc/xADsefQ1ytFKUVJWYHvFprFzLCtxZXjyRHoVYkfQg9D7GtFNf1ROsof/eVT/SvA7HULvTZvOtJChP3h1Vh6MOhr0fSdfs9UxE2ILk/8syeGP8AsHv9Dz9a86pSq09acnYq0JfFFHV3M0d7O1zJJsd8FgVOM4xxjPFV/s5P3JEb/gWP/QsVB04orgbu7s2SsrIuzwTARgISFQcjkZPJ5H1qkeDg0oJU5U4PtUwubgcGQkejc/zzRox6kFFT+fn78aN+GP8A0HFG+3PWMr/ut/iDSsAs5ISJOypn/vok/wBar1bkNtK+4OycAAFc9BjqD/Sm/Zh5bSrKpVf94ZPoMjrTaEmVqKKKkoKKK9N8GeD3uZI9X1SPEC/NFEw++ezEf3fQd/p11pUpVJcsTKrVjTjzSKHhfwTPqu2+1INDadVXo8n09F9+/b1r2y3to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Utilizing both flipping axes and palette rotations also yields a considerable change from the original:
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Be careful to ensure that your use of flip_axes
and/or rotate_pal
is consistent across bi_scale_fill()
/bi_scale_color()
as well as bi_legend()
.
Custom Palettes
In addition the built-in palettes described above, biscale
supports custom palettes. As of v1.0.0, the workflow for using custom palettes is different than prior releases and the old approach, using bi_pal_manual()
, has been deprecated. We plan to remove bi_pal_manual()
in late 2022. Please update your workflows accordingly.
To create a custom palette, users must create a named vector and supply associated hex values. We recommend checking out Benjamin Brooke’s Bivariate Choropleth Color Generator if you want to experiment with creating your own palettes. Joshua Steves’ blogpost from 2015 also contains tips for creating palettes.
The first example below is a named vector for a two-by-two (dim = 2
) map. The pairs correspond to x,y
coordinates on the legend where the first value is the x
value and the second is the y
value. The 1-1
pair is therefore the lower left corner of the legend and, in the example, the 2-2
pair is the upper right corner. The named vector should have 4 values in total.
custom_pal2 <- c(
"1-1" = "#d3d3d3", # low x, low y
"2-1" = "#9e3547", # high x, low y
"1-2" = "#4279b0", # low x, high y
"2-2" = "#311e3b" # high x, high y
)
If you are creating a custom palette for a three-by-three (dim = 3
) map, you need to extend each row and column by 1 so that 3-1
and 3-2
are included in the vector along with 1-3
, 2-3
, and 3-3
. The named vector should have 9 values in total.
custom_pal3 <- c(
"1-1" = "#d3d3d3", # low x, low y
"2-1" = "#ba8890",
"3-1" = "#9e3547", # high x, low y
"1-2" = "#8aa6c2",
"2-2" = "#7a6b84", # medium x, medium y
"3-2" = "#682a41",
"1-3" = "#4279b0", # low x, high y
"2-3" = "#3a4e78",
"3-3" = "#311e3b" # high x, high y
)
Finally, for a four-by-four (dim = 4
), should be further extended by 1 so that 4-1
, 4-2
, and 4-3
are included in the vector along with 1-4
, 2-4
, 3-4
, and 4-4
. The named vector should have 16 values in total.
custom_pal4 <- c(
"1-1" = "#d3d3d3", # low x, low y
"2-1" = "#c2a0a6",
"3-1" = "#b16d79",
"4-1" = "#9e3547", # high x, low y
"1-2" = "#a3b5c7",
"2-2" = "#96899d",
"3-2" = "#895e72",
"4-2" = "#7a2d43",
"1-3" = "#7397bb",
"2-3" = "#697394",
"3-3" = "#604e6b",
"4-3" = "#56263f",
"1-4" = "#4279b0", # low x, high y
"2-4" = "#3c5c8b",
"3-4" = "#373f65",
"4-4" = "#311e3b" # high x, high y
)
You can preview and validate your named vector using bi_pal()
. For example, we can preview the custom_pal3
vector created above:
# load dependencies
library(biscale)
# preview palette
bi_pal(pal = custom_pal3, dim = 3)
Once you have created your named vector, you can use it any place where you would ordinarily provide a quoted palette name in biscale
functions. In this example, the custom_pal3
vector created above is passed to bi_scale_fill()
and bi_legend()
:
# prep data
data <- stl_race_income
data <- bi_class(data, x = pctWhite, y = medInc, dim = 3, style = "quantile", keep_factors = TRUE)
# draw map
map <- ggplot() +
geom_sf(data = data, aes(fill = bi_class), color = "white", size = 0.1, show.legend = FALSE) +
bi_scale_fill(pal = custom_pal3, dim = 3) +
labs(
title = "Race and Income in St. Louis, MO",
subtitle = "Custom Palette"
) +
bi_theme()
# draw legend
legend <- bi_legend(pal = custom_pal3,
xlab = "Higher % White ",
ylab = "Higher Income ",
size = 12)
When custom palettes are passed to biscale
functions, they will be validated to ensure they have the correct number of entries, have the correct names, and have properly formatted hex values.
For custom palettes that are two-by-two (dim = 2
), three-by-three (dim = 3
), or four-by-four (dim = 4
), the palette manipulations described above can also be applied:
bi_pal(pal = custom_pal3, dim = 3, flip_axes = TRUE, rotate_pal = TRUE)
High Dimensional Palettes
The custom palette workflow not only enables users to bring whatever color scheme they wish to biscale
, but it provides support for higher dimensional maps (dim = 5
and beyond). Users should carefully consider the readability of these maps, however, and a warning to this effect will be generated when using bi_class()
. Users creating high dimensional maps should also note that flipping and rotating palettes is not supported beyond dim = 5
, and any modifications to the palette must be made manually.
To create a named vector for a five-by-five (dim = 5
) map, for example, the following named vector could be used:
custom_pal <- c(
"1-1" = "#d3d3d3", # low x, low y
"2-1" = "#b6cdcd",
"3-1" = "#97c5c5",
"4-1" = "#75bebe",
"5-1" = "#52b6b6", # high x, low y
"1-2" = "#cab6c5",
"2-2" = "#aeb0bf",
"3-2" = "#91aab9",
"4-2" = "#70a4b2",
"5-2" = "#4e9daa",
"1-3" = "#c098b9",
"2-3" = "#a593b3",
"3-3" = "#898ead",
"4-3" = "#6b89a6",
"5-3" = "#4a839f",
"1-4" = "#b77aab",
"2-4" = "#9e76a6",
"3-4" = "#8372a0",
"4-4" = "#666e9a",
"5-4" = "#476993",
"1-5" = "#ad5b9c", # low x, high y
"2-5" = "#955898",
"3-5" = "#7c5592",
"4-5" = "#60528d",
"5-5" = "#434e87" # high x, high y
)