colors.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Basic Types¶"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The most basic library for working with colors in Julia is `ColorTypes.jl`. More information about it can be found at https://github.com/JuliaGraphics/ColorTypes.jl.  The most basic type it defines is the abstract type `Colorant` which allows definition of concrete types of colors like `RGB{T}`.  The `T` parameter allows us to make a color out of different Types such as Floats or Ints, demonstrated below in boxes 2 and 3. Other color types include `HSV{T}` (Hue, Saturation, Value), `RGBA{T}` (Red, Green, Blue, Alpha), `LCHuv{T}` (Luminance, Chroma, Hue), and `Gray{T}`.  ![](https://github.com/JuliaGraphics/ColorTypes.jl/raw/master/images/types.png) There are many more colortypes available based on [CIE](https://en.wikipedia.org/wiki/International_Commission_on_Illumination) colorspaces if you need them."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since most people work with RGB, let's create a red color in RGB..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.1/Project.toml`\n",
      "\u001b[90m [no changes]\u001b[39m\n",
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.1/Manifest.toml`\n",
      "\u001b[90m [no changes]\u001b[39m\n",
      "\u001b[32m\u001b[1m Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Reexport ─ v0.2.0\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Colors ─── v0.9.4\n",
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.1/Project.toml`\n",
      " \u001b[90m [5ae59095]\u001b[39m\u001b[92m + Colors v0.9.4\u001b[39m\n",
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.1/Manifest.toml`\n",
      " \u001b[90m [5ae59095]\u001b[39m\u001b[92m + Colors v0.9.4\u001b[39m\n",
      " \u001b[90m [189a3867]\u001b[39m\u001b[92m + Reexport v0.2.0\u001b[39m\n"
     ]
    }
   ],
   "source": [
    "# add Packages if they aren't already in your system\n",
    "import Pkg; Pkg.add(\"ColorTypes\"); Pkg.add(\"Colors\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: Precompiling ColorTypes [3da002f7-5984-5a60-b8a6-cbb66c0b333f]\n",
      "└ @ Base loading.jl:1189\n"
     ]
    }
   ],
   "source": [
    "using ColorTypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RGB{Float64}(1.0,0.0,0.0)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define red\n",
    "# this should return the line: RGB{Float64}(1.0,0.0,0.0)\n",
    "#  since not using Colors yet\n",
    "RGB(1.0,0.0,0.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RGB{N0f8}(1.0,0.0,0.0)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RGB(1,0,0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Not that exciting. We want to be able to easily *use* these color types, which requires using the `Colors.jl` library. This provides conversions between different colortypes, parsing of color names, and colormaps.  More details are available at https://github.com/JuliaGraphics/Colors.jl.  What is especially cool about using this library with iJulia is that colortypes are automatically displayed as a color swatch."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If this is not displaying properly, you will need to set up iJulia on your own machine and download this notebook, or look at this notebook with a service like nbviewer at [http://nbviewer.jupyter.org/github/ultradian/julia_notebooks/blob/master/colors.ipynb](http://nbviewer.jupyter.org/github/ultradian/julia_notebooks/blob/master/colors.ipynb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: Precompiling Colors [5ae59095-9a9b-59fe-a467-6f913c188581]\n",
      "└ @ Base loading.jl:1189\n"
     ]
    }
   ],
   "source": [
    "using Colors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"25mm\" height=\"25mm\" viewBox=\"0 0 1 1\">\n",
       "     <rect width=\"1\" height=\"1\"\n",
       "           fill=\"#FF0000\" stroke=\"none\"/>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "RGB{Float64}(1.0,0.0,0.0)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# if iJulia is rendering properly, you should see a red square. \n",
    "RGB(1.0,0.0,0.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"25mm\" height=\"25mm\" viewBox=\"0 0 1 1\">\n",
       "     <rect width=\"1\" height=\"1\"\n",
       "           fill=\"#40E0D0\" stroke=\"none\"/>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "RGB{N0f8}(0.251,0.878,0.816)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# note you can 'parse' a Colorant name\n",
    "parse(Colorant, \"turquoise\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"25mm\" height=\"25mm\" viewBox=\"0 0 1 1\">\n",
       "     <rect width=\"1\" height=\"1\"\n",
       "           fill=\"#FF0000\" stroke=\"none\"/>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "RGB{N0f8}(1.0,0.0,0.0)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 'parse' also works for hex color codes\n",
    "parse(Colorant, \"#FF0000\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"25mm\" height=\"25mm\" viewBox=\"0 0 1 1\">\n",
       "     <rect width=\"1\" height=\"1\"\n",
       "           fill=\"#00FFFF\" stroke=\"none\"/>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "RGB{N0f8}(0.0,1.0,1.0)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# you can skip the 'parse' using the `colorant` keyword and color_name in quotes\n",
    "colorant\"cyan\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"25mm\" height=\"25mm\" viewBox=\"0 0 1 1\">\n",
       "     <rect width=\"1\" height=\"1\"\n",
       "           fill=\"#0000CD\" stroke=\"none\"/>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "RGB{N0f8}(0.0,0.0,0.804)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "colorant\"mediumblue\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"25mm\" height=\"25mm\" viewBox=\"0 0 1 1\">\n",
       "     <rect width=\"1\" height=\"1\"\n",
       "           fill=\"#00008B\" stroke=\"none\"/>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "RGB{N0f8}(0.0,0.0,0.545)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "colorant\"blue4\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"25mm\" height=\"25mm\" viewBox=\"0 0 1 1\">\n",
       "     <rect width=\"1\" height=\"1\"\n",
       "           fill=\"#68838B\" stroke=\"none\"/>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "RGB{N0f8}(0.408,0.514,0.545)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "colorant\"lightblue4\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"25mm\" height=\"25mm\" viewBox=\"0 0 1 1\">\n",
       "     <rect width=\"1\" height=\"1\"\n",
       "           fill=\"#607B8B\" stroke=\"none\"/>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "RGB{N0f8}(0.376,0.482,0.545)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "colorant\"lightskyblue4\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"25mm\" height=\"25mm\" viewBox=\"0 0 1 1\">\n",
       "     <rect width=\"1\" height=\"1\"\n",
       "           fill=\"#00FF00\" stroke=\"none\"/>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "RGB{N0f8}(0.0,1.0,0.0)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# this also works for hex color codes\n",
    "colorant\"#00FF00\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Color Names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"25mm\" height=\"25mm\" viewBox=\"0 0 1 1\">\n",
       "     <rect width=\"1\" height=\"1\"\n",
       "           fill=\"#1E90FF\" stroke=\"none\"/>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "RGB{N0f8}(0.118,0.565,1.0)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "colorant\"dodgerblue\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ok, I went a bit overboard showing off color swatches, but I think this is what makes Jupyter notebooks fun. If you want all the color names that are available, access the Dict data structure `Colors.color_names`.  Source is at https://github.com/JuliaGraphics/Colors.jl/blob/9f69a2a734855116336838a6a73b53afddf4c36f/src/names_data.jl\n",
    "with 665 entries when I last checked."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Dict{String,Tuple{Int64,Int64,Int64}} with 666 entries:\n",
       "  \"darkorchid\"      => (153, 50, 204)\n",
       "  \"chocolate\"       => (210, 105, 30)\n",
       "  \"chocolate2\"      => (238, 118, 33)\n",
       "  \"grey69\"          => (176, 176, 176)\n",
       "  \"grey97\"          => (247, 247, 247)\n",
       "  \"olivedrab3\"      => (154, 205, 50)\n",
       "  \"deeppink2\"       => (238, 18, 137)\n",
       "  \"mediumpurple2\"   => (159, 121, 238)\n",
       "  \"ivory1\"          => (255, 255, 240)\n",
       "  \"gray95\"          => (242, 242, 242)\n",
       "  \"darkgoldenrod4\"  => (139, 101, 8)\n",
       "  \"lemonchiffon2\"   => (238, 233, 191)\n",
       "  \"palegreen4\"      => (84, 139, 84)\n",
       "  \"cornsilk4\"       => (139, 136, 120)\n",
       "  \"red1\"            => (255, 0, 0)\n",
       "  \"wheat1\"          => (255, 231, 186)\n",
       "  \"lightpink4\"      => (139, 95, 101)\n",
       "  \"wheat2\"          => (238, 216, 174)\n",
       "  \"purple2\"         => (145, 44, 238)\n",
       "  \"grey22\"          => (56, 56, 56)\n",
       "  \"seashell4\"       => (139, 134, 130)\n",
       "  \"lightcyan1\"      => (224, 255, 255)\n",
       "  \"mediumvioletred\" => (199, 21, 133)\n",
       "  \"gray14\"          => (36, 36, 36)\n",
       "  \"lemonchiffon\"    => (255, 250, 205)\n",
       "  ⋮                 => ⋮"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Colors.color_names"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ColorMaps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What if we want a range of colors? We want a `colormap`.\n",
    "\n",
    "`colormap()` creates an `Array{ColorTypes}` with specified N=number of colors and mid=midpoint\n",
    "\n",
    "    colormap(cname::String [N::Int=100; mid=0.5, logscale=false, kvs...])\n",
    "    \n",
    "These maps use a particular hue and generate a path through LCH space (Luminance, Chroma, Hue) that is smooth, without abrupt discontinuities.  A primary source for this algorithm is Wijffelaars, M., Vliegen, R., van Wijk, J., van der Linden, E-J. (2008). [Generating Color Palettes using Intuitive Parameters](https://pdfs.semanticscholar.org/0977/49c130c1cf35b8b9c236916de3b0455ffce0.pdf). More background can be found in Wijffelaars, M., & Wijk, J. (2008). [Synthesis of color palettes](http://alexandria.tue.nl/extra1/afstversl/wsk-i/wijffelaars2008.pdf) (Doctoral dissertation, Master’s thesis. Supervisors Wijk, J. van, and Vliegen).\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sequential palettes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sequential maps use a single hue and are created with the `sequential_palette()` function. \n",
    "\n",
    "    sequential_palette(h, N::Int64; c, s, b, w, d, wcolor, dcolor, logscale) \n",
    "\n",
    "* `N` (number of colors in palette) defaults to 100 as above. \n",
    "* `c` is contrast from 0-1\n",
    "* `s` is saturation from 0-1\n",
    "* `b` is brightness from 0-1\n",
    "\n",
    "if you want the rest, see timholy's great documentation at [colors.jl](https://github.com/JuliaGraphics/Colors.jl)\n",
    "\n",
    "Let's look at what some of the different hues look like if we travel around the circle in degrees."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"180.0mm\" height=\"24.999999999999996mm\"\n",
       "     shape-rendering=\"crispEdges\">\n",
       "<rect x=\"0.0mm\" y=\"0.0mm\"\n",
       "      width=\"1.8mm\" height=\"23.999999999999996mm\"\n",
       "      fill=\"#FFFAF8\" stroke=\"none\" />\n",
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       "      width=\"1.8mm\" height=\"23.999999999999996mm\"\n",
       "      fill=\"#FFF9F5\" stroke=\"none\" />\n",
       "<rect x=\"3.6mm\" y=\"0.0mm\"\n",
       "      width=\"1.8mm\" height=\"23.999999999999996mm\"\n",
       "      fill=\"#FFF7F3\" stroke=\"none\" />\n",
       "<rect x=\"5.4mm\" y=\"0.0mm\"\n",
       "      width=\"1.8mm\" height=\"23.999999999999996mm\"\n",
       "      fill=\"#FFF6F1\" stroke=\"none\" />\n",
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      ],
      "text/plain": [
       "100-element Array{ColorTypes.RGB{Float64},1}:\n",
       " RGB{Float64}(1.0,0.981506,0.970606)      \n",
       " RGB{Float64}(1.0,0.975906,0.961818)      \n",
       " RGB{Float64}(1.0,0.970238,0.952957)      \n",
       " RGB{Float64}(1.0,0.964502,0.944022)      \n",
       " RGB{Float64}(1.0,0.958699,0.935013)      \n",
       " RGB{Float64}(1.0,0.952826,0.925932)      \n",
       " RGB{Float64}(1.0,0.946885,0.916777)      \n",
       " RGB{Float64}(1.0,0.940874,0.90755)       \n",
       " RGB{Float64}(1.0,0.934794,0.898251)      \n",
       " RGB{Float64}(1.0,0.928643,0.88888)       \n",
       " RGB{Float64}(1.0,0.922421,0.879437)      \n",
       " RGB{Float64}(1.0,0.916128,0.869923)      \n",
       " RGB{Float64}(1.0,0.909763,0.860339)      \n",
       " ⋮                                        \n",
       " RGB{Float64}(0.467107,0.240268,0.0865805)\n",
       " RGB{Float64}(0.450204,0.229688,0.0789708)\n",
       " RGB{Float64}(0.433092,0.219076,0.0714779)\n",
       " RGB{Float64}(0.415779,0.208436,0.064105) \n",
       " RGB{Float64}(0.39827,0.197769,0.0568559) \n",
       " RGB{Float64}(0.380572,0.187078,0.0497347)\n",
       " RGB{Float64}(0.362694,0.176367,0.0427456)\n",
       " RGB{Float64}(0.344644,0.16564,0.0359695) \n",
       " RGB{Float64}(0.326432,0.154901,0.0299227)\n",
       " RGB{Float64}(0.308067,0.144155,0.0246268)\n",
       " RGB{Float64}(0.289562,0.133406,0.0200257)\n",
       " RGB{Float64}(0.270929,0.12266,0.0160642) "
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# These should render as a spectrum of colors from light to dark in iJulia. Otherwise, you see the Array of colors below.\n",
    "sequential_palette(30.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you are at the REPL, you would see the Array numerically:\n",
    "\n",
    "    100-element Array{ColorTypes.RGB{Float64},1}:\n",
    "    RGB{Float64}(1.0,0.981506,0.970606)      \n",
    "    RGB{Float64}(1.0,0.975906,0.961818)      \n",
    "    RGB{Float64}(1.0,0.970238,0.952957)      \n",
    "    RGB{Float64}(1.0,0.964502,0.944022)      \n",
    "    RGB{Float64}(1.0,0.958699,0.935013)      \n",
    "    ...\n",
    "    RGB{Float64}(0.344644,0.16564,0.0359695) \n",
    "    RGB{Float64}(0.326432,0.154901,0.0299227)\n",
    "    RGB{Float64}(0.308067,0.144155,0.0246268)\n",
    "    RGB{Float64}(0.289562,0.133406,0.0200257)\n",
    "    RGB{Float64}(0.270929,0.12266,0.0160642) \n",
    "\n",
    "Nice that you can generate this so easily! Let's continue at increments through the different hues."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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       " ⋮                                        \n",
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     "execution_count": 17,
     "metadata": {},
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   "source": [
    "sequential_palette(60.0)"
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  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
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     "metadata": {},
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   "source": [
    "sequential_palette(90.0)"
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   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
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       " ⋮                                          \n",
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     "metadata": {},
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   "source": [
    "sequential_palette(120.0)"
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   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
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     "metadata": {},
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   "source": [
    "sequential_palette(180.0)"
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   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
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       " ⋮                                        \n",
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     "execution_count": 21,
     "metadata": {},
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   "source": [
    "sequential_palette(240.0)"
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  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
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       " ⋮                                        \n",
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     "metadata": {},
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   "source": [
    "sequential_palette(300.0)"
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  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
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   "source": [
    "sequential_palette(330.0)"
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   "execution_count": 24,
   "metadata": {
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      "text/plain": [
       "100-element Array{ColorTypes.RGB{Float64},1}:\n",
       " RGB{Float64}(1.0,0.981506,0.970606)      \n",
       " RGB{Float64}(1.0,0.975906,0.961818)      \n",
       " RGB{Float64}(1.0,0.970238,0.952957)      \n",
       " RGB{Float64}(1.0,0.964502,0.944022)      \n",
       " RGB{Float64}(1.0,0.958699,0.935013)      \n",
       " RGB{Float64}(1.0,0.952826,0.925932)      \n",
       " RGB{Float64}(1.0,0.946885,0.916777)      \n",
       " RGB{Float64}(1.0,0.940874,0.90755)       \n",
       " RGB{Float64}(1.0,0.934794,0.898251)      \n",
       " RGB{Float64}(1.0,0.928643,0.88888)       \n",
       " RGB{Float64}(1.0,0.922421,0.879437)      \n",
       " RGB{Float64}(1.0,0.916128,0.869923)      \n",
       " RGB{Float64}(1.0,0.909763,0.860339)      \n",
       " ⋮                                        \n",
       " RGB{Float64}(0.467107,0.240268,0.0865805)\n",
       " RGB{Float64}(0.450204,0.229688,0.0789708)\n",
       " RGB{Float64}(0.433092,0.219076,0.0714779)\n",
       " RGB{Float64}(0.415779,0.208436,0.064105) \n",
       " RGB{Float64}(0.39827,0.197769,0.0568559) \n",
       " RGB{Float64}(0.380572,0.187078,0.0497347)\n",
       " RGB{Float64}(0.362694,0.176367,0.0427456)\n",
       " RGB{Float64}(0.344644,0.16564,0.0359695) \n",
       " RGB{Float64}(0.326432,0.154901,0.0299227)\n",
       " RGB{Float64}(0.308067,0.144155,0.0246268)\n",
       " RGB{Float64}(0.289562,0.133406,0.0200257)\n",
       " RGB{Float64}(0.270929,0.12266,0.0160642) "
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# adding 360 gets you back to where you started\n",
    "sequential_palette(390.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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      "text/plain": [
       "100-element Array{ColorTypes.RGB{Float64},1}:\n",
       " RGB{Float64}(1.0,0.980192,0.977474)     \n",
       " RGB{Float64}(1.0,0.974536,0.969585)     \n",
       " RGB{Float64}(1.0,0.968961,0.961107)     \n",
       " RGB{Float64}(1.0,0.963482,0.952049)     \n",
       " RGB{Float64}(1.0,0.958113,0.94242)      \n",
       " RGB{Float64}(1.0,0.95287,0.932237)      \n",
       " RGB{Float64}(1.0,0.947765,0.921517)     \n",
       " RGB{Float64}(1.0,0.942811,0.910282)     \n",
       " RGB{Float64}(1.0,0.938018,0.89856)      \n",
       " RGB{Float64}(1.0,0.933397,0.886381)     \n",
       " RGB{Float64}(0.997846,0.928955,0.873781)\n",
       " RGB{Float64}(0.993249,0.924699,0.860801)\n",
       " RGB{Float64}(0.987846,0.920633,0.847485)\n",
       " ⋮                                       \n",
       " RGB{Float64}(0.0,0.399196,0.304874)     \n",
       " RGB{Float64}(0.0,0.383278,0.262201)     \n",
       " RGB{Float64}(0.0,0.366563,0.216737)     \n",
       " RGB{Float64}(0.0,0.349094,0.166894)     \n",
       " RGB{Float64}(0.0,0.330924,0.108092)     \n",
       " RGB{Float64}(0.0,0.312117,0.017064)     \n",
       " RGB{Float64}(0.0,0.292742,0.0)          \n",
       " RGB{Float64}(0.0,0.272876,0.0)          \n",
       " RGB{Float64}(0.0,0.252594,0.0)          \n",
       " RGB{Float64}(0.0,0.231974,0.0)          \n",
       " RGB{Float64}(0.0674787,0.211089,0.0)    \n",
       " RGB{Float64}(0.112363,0.190009,0.0)     "
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     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# note that the function blows up at h=0\n",
    "sequential_palette(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Named sequential palettes are available through `colormap()` which is a lot easier to use if you don't work with hue colorspaces."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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       " ⋮                                        \n",
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     "execution_count": 26,
     "metadata": {},
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   "source": [
    "colormap(\"Blues\")"
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  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
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       "100-element Array{ColorTypes.RGB{Float64},1}:\n",
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       " ⋮                                         \n",
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     "execution_count": 27,
     "metadata": {},
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   "source": [
    "colormap(\"Reds\")"
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  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
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      "text/plain": [
       "100-element Array{ColorTypes.RGB{Float64},1}:\n",
       " RGB{Float64}(0.979483,1.0,0.96859)       \n",
       " RGB{Float64}(0.965517,1.0,0.947658)      \n",
       " RGB{Float64}(0.952316,1.0,0.928213)      \n",
       " RGB{Float64}(0.939703,1.0,0.909946)      \n",
       " RGB{Float64}(0.927558,0.999518,0.892641) \n",
       " RGB{Float64}(0.915791,0.998121,0.87614)  \n",
       " RGB{Float64}(0.904334,0.996451,0.860324) \n",
       " RGB{Float64}(0.893135,0.994536,0.845101) \n",
       " RGB{Float64}(0.882153,0.992399,0.830397) \n",
       " RGB{Float64}(0.871353,0.990057,0.816153) \n",
       " RGB{Float64}(0.860708,0.987525,0.802319) \n",
       " RGB{Float64}(0.850194,0.984814,0.788855) \n",
       " RGB{Float64}(0.839791,0.981934,0.775728) \n",
       " ⋮                                        \n",
       " RGB{Float64}(0.00427844,0.377902,0.17187)\n",
       " RGB{Float64}(0.0,0.364661,0.165792)      \n",
       " RGB{Float64}(0.0,0.351285,0.159658)      \n",
       " RGB{Float64}(0.0,0.337777,0.153464)      \n",
       " RGB{Float64}(0.0,0.324139,0.147204)      \n",
       " RGB{Float64}(0.0,0.310375,0.140875)      \n",
       " RGB{Float64}(0.0,0.296488,0.134474)      \n",
       " RGB{Float64}(0.0,0.282481,0.127996)      \n",
       " RGB{Float64}(0.0,0.26836,0.12144)        \n",
       " RGB{Float64}(0.0,0.254128,0.114802)      \n",
       " RGB{Float64}(0.0,0.239792,0.108083)      \n",
       " RGB{Float64}(0.0,0.225356,0.101282)      "
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "colormap(\"Greens\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data structure that has all these names is `Colors.colormaps_sequential`.  We can see there are only six names at my last check:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Dict{String,Array{Any,1}} with 6 entries:\n",
       "  \"reds\"    => Any[12, 0.15, 0.25, 0.8, 0.85, 0.6, RGB{N0f8}(1.0,1.0,0.0), RGB{…\n",
       "  \"purples\" => Any[265, 0.15, 0.2, 0.88, 0.5, 0.7, RGB{N0f8}(1.0,0.0,1.0), RGB{…\n",
       "  \"oranges\" => Any[20, 0.5, 0.4, 0.83, 0.95, 0.85, RGB{N0f8}(1.0,1.0,0.0), RGB{…\n",
       "  \"greens\"  => Any[120, 0.15, 0.18, 0.88, 0.55, 0.9, RGB{N0f8}(1.0,1.0,0.0), RG…\n",
       "  \"blues\"   => Any[255, 0.3, 0.25, 0.88, 0.6, 0.75, RGB{N0f8}(1.0,1.0,0.0), RGB…\n",
       "  \"grays\"   => Any[0, 0.0, 0.0, 1.0, 0.0, 0.75, RGB{N0f8}(1.0,1.0,0.0), RGB{N0f…"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Colors.colormaps_sequential"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Diverging palette"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Two hues can be combined in a divergent palette. In this case, the first two arguments are the hues at the two ends of the palette.  A lot of control can be specified through the `w` argument (strength of the middle color from 0-1) and `wcolor` (the middle color).  There is one predefined named diverging palette called `RdBu` (from Red to Blue)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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       " ⋮                                          \n",
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     "execution_count": 30,
     "metadata": {},
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    "colormap(\"RdBu\")"
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     "data": {
      "text/plain": [
       "Dict{String,Array{Any,1}} with 1 entry:\n",
       "  \"rdbu\" => Any[12, 255, 0.2, 0.6, 0.0, 0.85, 0.6, 0.65, RGB{N0f8}(1.0,1.0,0.0)…"
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     "execution_count": 31,
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   "source": [
    "Colors.colormaps_diverging"
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   "execution_count": 32,
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       "100-element Array{ColorTypes.RGB{Float64},1}:\n",
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       " ⋮                                        \n",
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     "execution_count": 32,
     "metadata": {},
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   "source": [
    "diverging_palette(30.0, 240.0, w=0)"
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  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
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      "text/plain": [
       "100-element Array{ColorTypes.RGB{Float64},1}:\n",
       " RGB{Float64}(0.272327,0.122238,0.00275488)\n",
       " RGB{Float64}(0.30932,0.143609,0.00223487) \n",
       " RGB{Float64}(0.345688,0.16508,0.000589261)\n",
       " RGB{Float64}(0.381317,0.186632,0.0)       \n",
       " RGB{Float64}(0.416111,0.208252,0.0)       \n",
       " RGB{Float64}(0.449981,0.229933,0.0)       \n",
       " RGB{Float64}(0.48285,0.251671,0.0)        \n",
       " RGB{Float64}(0.514643,0.273468,0.0)       \n",
       " RGB{Float64}(0.545289,0.295326,0.0)       \n",
       " RGB{Float64}(0.574718,0.317253,0.0)       \n",
       " RGB{Float64}(0.602861,0.339257,0.0)       \n",
       " RGB{Float64}(0.629643,0.361352,0.0)       \n",
       " RGB{Float64}(0.654984,0.383554,0.0)       \n",
       " ⋮                                         \n",
       " RGB{Float64}(0.0,0.467535,0.620179)       \n",
       " RGB{Float64}(0.0,0.441907,0.593006)       \n",
       " RGB{Float64}(0.0,0.416069,0.564576)       \n",
       " RGB{Float64}(0.0,0.390029,0.534965)       \n",
       " RGB{Float64}(0.0,0.363791,0.504246)       \n",
       " RGB{Float64}(0.0,0.337366,0.472489)       \n",
       " RGB{Float64}(0.0,0.310763,0.439764)       \n",
       " RGB{Float64}(0.0,0.283996,0.406146)       \n",
       " RGB{Float64}(0.0,0.257083,0.37171)        \n",
       " RGB{Float64}(0.0,0.230047,0.33654)        \n",
       " RGB{Float64}(0.0,0.202917,0.300729)       \n",
       " RGB{Float64}(0.0,0.175732,0.264382)       "
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# when we make the middle green, the divergent nature is more apparent\n",
    "diverging_palette(30.0, 240.0, w=1, wcolor=RGB(0,1,0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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       "100-element Array{ColorTypes.RGB{Float64},1}:\n",
       " RGB{Float64}(0.271658,0.122413,0.00980197)\n",
       " RGB{Float64}(0.308569,0.143709,0.0140882) \n",
       " RGB{Float64}(0.344907,0.165039,0.0193339) \n",
       " RGB{Float64}(0.380578,0.186371,0.0255671) \n",
       " RGB{Float64}(0.415502,0.20768,0.032801)   \n",
       " RGB{Float64}(0.449612,0.228948,0.0410281) \n",
       " RGB{Float64}(0.48285,0.25016,0.0495135)   \n",
       " RGB{Float64}(0.515165,0.271305,0.0579247) \n",
       " RGB{Float64}(0.546512,0.292375,0.0662755) \n",
       " RGB{Float64}(0.576852,0.313367,0.0745926) \n",
       " RGB{Float64}(0.606144,0.334276,0.0829162) \n",
       " RGB{Float64}(0.634355,0.355104,0.0913011) \n",
       " RGB{Float64}(0.661446,0.375852,0.0998176) \n",
       " ⋮                                         \n",
       " RGB{Float64}(0.0666056,0.456165,0.616863) \n",
       " RGB{Float64}(0.0633378,0.432206,0.58915)  \n",
       " RGB{Float64}(0.0595434,0.407882,0.560422) \n",
       " RGB{Float64}(0.055183,0.383203,0.530713)  \n",
       " RGB{Float64}(0.050242,0.35818,0.500057)   \n",
       " RGB{Float64}(0.0447255,0.332826,0.468491) \n",
       " RGB{Float64}(0.038648,0.307158,0.436056)  \n",
       " RGB{Float64}(0.0324396,0.281195,0.402798) \n",
       " RGB{Float64}(0.0264796,0.254962,0.368771) \n",
       " RGB{Float64}(0.0209263,0.228491,0.334039) \n",
       " RGB{Float64}(0.015918,0.20182,0.298674)   \n",
       " RGB{Float64}(0.0115634,0.174997,0.262766) "
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     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# this can be softened by changing w\n",
    "diverging_palette(30.0, 240.0, w=0.5, wcolor=RGB(0,1,0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now I'm going to aim for a rainbow, by flipping this around and altering the saturation, contrast, and brightness parameters. These adjustments will actually make the map less efficient for discrimination from a psychophysics point of view, but they are color patterns that you will frequently see in many statistical plots. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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   "execution_count": 36,
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       " ⋮                                           \n",
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     "execution_count": 36,
     "metadata": {},
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   "source": [
    "diverging_palette(240, 1, w=1, wcolor=RGB(1,1,0), s=1, b=1, c=1)"
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   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
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       "100-element Array{ColorTypes.RGB{Float64},1}:\n",
       " RGB{Float64}(0.0,0.0,0.0)                   \n",
       " RGB{Float64}(0.125354,0.000232425,0.143152) \n",
       " RGB{Float64}(0.184194,0.000423785,0.207708) \n",
       " RGB{Float64}(0.231805,0.000604513,0.259894) \n",
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       " RGB{Float64}(0.420826,0.0014102,0.466783)   \n",
       " RGB{Float64}(0.466948,0.0015812,0.517197)   \n",
       " RGB{Float64}(0.512413,0.00172002,0.566867)  \n",
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       " RGB{Float64}(0.601122,0.00186609,0.663712)  \n",
       " RGB{Float64}(0.644277,0.00185802,0.710792)  \n",
       " ⋮                                           \n",
       " RGB{Float64}(0.68969,0.00156722,0.279659)   \n",
       " RGB{Float64}(0.639857,0.00155001,0.257128)  \n",
       " RGB{Float64}(0.589139,0.00148409,0.234213)  \n",
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       " RGB{Float64}(0.378811,0.000897277,0.139392) \n",
       " RGB{Float64}(0.324911,0.000716175,0.115148) \n",
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       " RGB{Float64}(0.216767,0.00038029,0.0665767) \n",
       " RGB{Float64}(0.149942,0.000209119,0.036671) \n",
       " RGB{Float64}(0.0,0.0,0.0)                   "
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diverging_palette(300, 1, w=1, wcolor=RGB(1,1,0), s=1, b=1, c=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use one of these one of your Julia plots!  Let me know if you have comments or additions with Issues."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "[<img style=\"float: left;\" src=\"https://i.creativecommons.org/l/by-sa/4.0/88x31.png\">](http://creativecommons.org/licenses/by-sa/4.0/)  \n",
    "\n",
    "Licensed under a [Creative Commons Attribution-ShareAlike 4.0 International License](http://creativecommons.org/licenses/by-sa/4.0/)."
   ]
  }
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