diff --git a/.ipynb_checkpoints/Untitled-checkpoint.ipynb b/.ipynb_checkpoints/Entrega-checkpoint.ipynb
similarity index 100%
rename from .ipynb_checkpoints/Untitled-checkpoint.ipynb
rename to .ipynb_checkpoints/Entrega-checkpoint.ipynb
diff --git a/Entrega.ipynb b/Entrega.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..a73f285b7bf12809d3dda6ba8fd8ee031ad0ce2a
--- /dev/null
+++ b/Entrega.ipynb
@@ -0,0 +1,631 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Nombre: Jennifer Ortega \n",
+    "## Ejercicio para practicar numpy y optimización con scipy\n",
+    "### Resolución espacial"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Resolución \n",
+    "### Estructura del motebook\n",
+    "- Extracción de las matrices RGB\n",
+    "- Generar una matriz a partir de la imagen en escala de grises\n",
+    "- Recortar una imagen de una estrella.\n",
+    "- Realizar el Ajuste a una gaussiana en 1D\n",
+    "- Realizar el Ajuste a una gaussiana en 2D\n",
+    "- Calcular el valor FWHM\n",
+    "- Automatizamos el proceso anterior para varias estrellas.\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- Cargamos la imagen utilizando PIL, y utilizamos asarray para leer la imagen en forma de matrices."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "(789, 1184, 3)\n"
+     ]
+    }
+   ],
+   "source": [
+    "from PIL import Image\n",
+    "from numpy import asarray\n",
+    "import numpy as np\n",
+    "image = Image.open('data/zapatocaImage.jpeg')\n",
+    "data = asarray(image) # abrimos la imagen en forma de array\n",
+    "b, g, r    = data[:, :, 0], data[:, :, 1], data[:, :, 2]  # Separamos las matrices según R,G,B\n",
+    "print(data.shape) # dimensión del array, donde cada matriz 2x2 corresponde a R,G,B"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Tranformación de RGB a Escala de Grises \n",
+    "Para la transformación tenemos la siguiente ecuación:\n",
+    "$$Grayscale = (R + G + \\frac{B}{3})$$\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[[0.07177974 0.07177974 0.07177974 ... 0.12782694 0.16224189 0.18289086]\n",
+      " [0.07866273 0.07866273 0.07866273 ... 0.13470993 0.15634218 0.17010816]\n",
+      " [0.08554572 0.08554572 0.08554572 ... 0.14159292 0.15634218 0.16322517]\n",
+      " ...\n",
+      " [0.10914454 0.10226155 0.10226155 ... 0.04818092 0.0619469  0.07571288]\n",
+      " [0.09537856 0.10226155 0.10914454 ... 0.0619469  0.0619469  0.06489676]\n",
+      " [0.08161259 0.09537856 0.11602753 ... 0.07866273 0.07177974 0.05113078]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "Grayscale0 = (r + g + b/3) # transformamos a escala de grises\n",
+    "Grayscale =Grayscale0/np.max(Grayscale0) # normalizamos los valores\n",
+    "print(Grayscale) # ahora tenemos una sola matriz para una imagen en escala de grises"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.image.AxesImage at 0x7fb8dd1a1ac8>"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import matplotlib.pyplot as plt\n",
+    "import matplotlib.cm as cm\n",
+    "plt.imshow(Grayscale, cmap=cm.gray, vmax=np.max(Grayscale)) # imprimimos la imagen en escala de Grises."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- Recortamos una imagen de una estrella.\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.image.AxesImage at 0x7fb8dc1c1080>"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "estrella0 = Grayscale[547:561,655:670] # extraemos los valores correspondientes a una estrella\n",
+    "plt.imshow(estrella0, cmap=cm.gray, vmax=np.max(estrella0))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Ajuste a una gaussiana 1D\n",
+    "La fución gaussiana en una dimensión  es de la forma.\n",
+    "\n",
+    "$$\n",
+    "f(x)=A e^{-\\frac{1}{2}\\left(\\frac{x-x_0}{\\sigma}\\right)^{2}}+C\n",
+    "$$\n",
+    "Para realizar el ajuste se evaluarán los datos y se determinaran los valores para A, X0, sigma y C, tal que minimicen el error, por el método de mínimos cuadrados, los datos serán ajustados respecto a una función gausiana."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import matplotlib.pyplot as plt\n",
+    "from scipy.optimize import leastsq \n",
+    "\n",
+    "# Definimos la función gaussiana y el error.\n",
+    "def func_gauss_1D(params,x):\n",
+    "    '''Función Gaussiana en 1D\n",
+    "    params[0] = A\n",
+    "    params[1] = sigma\n",
+    "    params[2] = x0\n",
+    "    params[3] = C\n",
+    "    np.pi = numero pi\n",
+    "    '''\n",
+    "    y =params[0]*(np.exp((-(x-params[2])**2)/(2*(params[1]**2)))) + params[3]\n",
+    "    return y\n",
+    "def Error_gauss_1D(tpl,x,y):\n",
+    "    '''Calculo del error'''\n",
+    "    return func_gauss_1D(tpl,x)-y"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- Seleccionaremos una línea en X que representa las distintas posiciones a lo largo de la linea 1D"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import matplotlib.cm as cm\n",
+    "\n",
+    "x = np.arange(0, estrella0.shape[0], 1) # definimos los valores para X\n",
+    "y = np.arange(0, estrella0.shape[1], 1) # definimos los valores para Y\n",
+    "\n",
+    "lumx = estrella0[:,3] # Seleccionamos una línea 1D en el array para X."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- Hacemos el ajuste con la gaussiana, los parámetros de inicialización se generan automáticamente del código, tomando en cuenta ciertas propiedades de la gaussiana. (***El ajuste depende de los parámetros inicianles introducidos***)\n",
+    "### Parámetros iniciales\n",
+    "\n",
+    "#### - X0 \n",
+    "X0 = (x_max+x_min)/2, ya que al ser una imagen de estrella, siempre la mayor luminosidad estará ubicada cercana al centro de la recta 1D en el eje  X.\n",
+    "#### - sigma \n",
+    "\n",
+    "El sigma de una distribución de datos se calcula de la siguiente manera.\n",
+    "<img src=\"http://gestiondeproyectos-master.com/wp-content/uploads/2018/11/Desviacion-tipica.jpg\">\n",
+    "Por lo que para elegir un sigma próximo al que saldrá en el modelo, utilizaremos la ecuación anterior, tomando el eje X y el eje de la luminosidad como una probabilidad.\n",
+    "\n",
+    "### - C \n",
+    "Elegirmos el mínimo valor de la luminosidad, ya que el valor inicial donde f(0)=C, posiblemente estará cercano a  ese punto.\n",
+    "### - A\n",
+    "Es la constante multiplicativa de la exponencial, al ser una escala de grises que va de (0,1) tomaremos como valor inicial 1, ya que en estos rangos comprenderan los resultados.\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- Definimos la función para calcular sigma deacuerdo a probabilidades"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import math\n",
+    "def std_prob(x,prob,x0):\n",
+    "    '''Funcion que retorna la desviación estandar tomando en cuenta probabilidades\n",
+    "    x    = array \n",
+    "    prob = funcion de probabilidad\n",
+    "    x0   = el valor con maxima probabilidad\n",
+    "    '''\n",
+    "    n= x.shape\n",
+    "    suma = 0\n",
+    "    for i in x:\n",
+    "        suma= suma + ((x[i]-x0)**2)*prob[i]\n",
+    "    sigma = math.sqrt(suma/n)\n",
+    "    return sigma\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- Definimos los valores iniciales, siguiendo la lógica anteriormente mencionada"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.legend.Legend at 0x7fb8bc10bdd8>"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "prob = lumx # definimos a lumx como una probabilidad para calcular la desviación estandar aproximada.\n",
+    "\n",
+    "# DEFINIMOS LOS PARÁMETROS DE INICIALIZACIÓN\n",
+    "'''\n",
+    "params[0] = A\n",
+    "params[1] = sigma\n",
+    "params[2] = x0\n",
+    "params[3] = C\n",
+    "'''\n",
+    "A = 1\n",
+    "x0 = int(max(x)+min(x))/2\n",
+    "sigma = std_prob(x,prob,x0)\n",
+    "C = min(lumx)\n",
+    "\n",
+    "p1 = [A, sigma , x0 , C] # valores iniciales\n",
+    "best,suss = leastsq(Error_gauss_1D, p1, args=(x,lumx)) \n",
+    "# best contiene los parametros que mejor ajustan una gausiana a los datos.\n",
+    "\n",
+    "\n",
+    "# GRÁFICAMOS LOS DATOS Y EL MODELO\n",
+    "# Gráficamos los resultados para evaluar el módelo visualmente. \n",
+    "\n",
+    "x_model = np.arange(0, estrella0.shape[0], 0.05) # definimos con mas datos, para mejorar la visucalización\n",
+    "\n",
+    "lum_model = func_gauss_1D(best,x_model)\n",
+    "\n",
+    "plt.plot(x_model,lum_model) # gráfica del modelo\n",
+    "plt.plot(x,lumx,'o',color=\"darkorange\") # gráfica de los datos\n",
+    "plt.xlabel('eje X')\n",
+    "plt.ylabel('luminosidad')\n",
+    "plt.title('Ajuste Gaussiano')\n",
+    "plt.legend(('Ajuste', 'Datos originales'),loc='lower left', shadow=True)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Ajuste  a una gaussiana 2D \n",
+    "Aquí se procederá a realizar el mismo proceso anterior pero ahora se lo hara en 2 dimensiones.\n",
+    "La función gausiana en dos dimensiones esta dada por:\n",
+    "\n",
+    "$$\n",
+    "f(x) = A \\exp \\left(\\frac{\\left(x-x_{0}\\right)^{2}+\\left(y-y_{0}\\right)^{2}}{2 \\sigma^{2}}\\right)+C\n",
+    "$$\n",
+    "por lo que los valores a encontrarse seran  A, X0, Y0, sigma y C, luego se se utilizará, el método de mínimos cuadrados, para encontrar los que minimicen el error."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- Guardamos en arrays cada una de los datos en 2 dimensiones con sus respectivos valores de luminosidad."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "x = np.arange(0, estrella0.shape[0], 1)\n",
+    "y = np.arange(0, estrella0.shape[1], 1)\n",
+    "\n",
+    "def lum_2D(estrella,x,y):\n",
+    "    '''Funcion que extrae cada valor de la luminosidad con sus respectivos valores en X y Y,\n",
+    "    y los retorna en forma de arrays.\n",
+    "    '''\n",
+    "    lum_list = []\n",
+    "    x_list = []\n",
+    "    y_list = []\n",
+    "    for i in x:\n",
+    "        for j in y:\n",
+    "            lum = estrella[x[i],y[j]] \n",
+    "            lum_list.append(lum)\n",
+    "            x_list.append(x[i])\n",
+    "            y_list.append(y[j])\n",
+    "    return np.array(lum_list),np.array(x_list),np.array(y_list) \n",
+    "\n",
+    "lum_2D, x_2D, y_2D = lum_2D(estrella0,x,y)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- Luego gráficaremos los datos en 3D, con los valores para X, Y y la luminosidad, para tener una vista preliminar de los vaores.\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "from mpl_toolkits.mplot3d import Axes3D\n",
+    "\n",
+    "fig = plt.figure(figsize=(6, 6))\n",
+    "ax = fig.add_subplot(111, projection='3d')\n",
+    "ax.scatter(x_2D, y_2D,lum_2D,\n",
+    "           linewidths=1, alpha=.7,\n",
+    "           edgecolor='k',\n",
+    "           s = 5)\n",
+    "ax.set_xlabel('eje X')\n",
+    "ax.set_ylabel('eje Y')\n",
+    "ax.set_zlabel('Lum')\n",
+    "plt.title('Datos')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- Definimos la función de Error y la función gaussiana."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# funcion gaussiana en 2D\n",
+    "def func_gauss_2D(params,x,y):\n",
+    "    '''Función Gaussiana en 2D\n",
+    "    params[0] = A\n",
+    "    params[1] = sigma    \n",
+    "    params[2] = C\n",
+    "    params[3] = x0\n",
+    "    params[4] = y0\n",
+    "    np.pi = numero pi\n",
+    "    '''\n",
+    "    z = (params[0]*np.exp(-(((x-params[3])**2)+(y-params[4])**2)/(2*(params[1])**2)))+params[2]    \n",
+    "    return z\n",
+    "\n",
+    "# Funcion de error\n",
+    "def Error_gauss_2D(tpl,x,y,z):\n",
+    "    return func_gauss_2D(tpl,x,y)-z"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- Realizamos el ajuste en 2D"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "prob = lum_2D # definimos a lum como una probabilidad para calcular la desviación estandar aproximada.\n",
+    "\n",
+    "# DEFINIMOS LOS PARÁMETROS DE INICIALIZACIÓN\n",
+    "# Loa parámetros de inicialización segiran la lógica para los de 1D\n",
+    "\n",
+    "A = 1\n",
+    "x0 = int(max(x_2D)+min(x_2D))/2\n",
+    "y0 = int(max(y_2D)+min(y_2D))/2\n",
+    "sigmax = std_prob(x_2D,prob,x0) # desviación estandart para X\n",
+    "sigmay = std_prob(y_2D,prob,y0)  # desviación estandart para Y\n",
+    "sigmaxy = (sigmax+sigmay)/2\n",
+    "C = min(lum_2D)\n",
+    "\n",
+    "'''\n",
+    "    params[0] = A\n",
+    "    params[1] = sigma    \n",
+    "    params[2] = C\n",
+    "    params[3] = x0\n",
+    "    params[4] = y0\n",
+    "'''\n",
+    "\n",
+    "\n",
+    "p1 = [A, sigmaxy, C, x0, y0] # valores de inicializacion\n",
+    "\n",
+    "best,suss = leastsq(Error_gauss_2D, p1, args=(x_2D,y_2D,lum_2D)) # ajuste\n",
+    "\n",
+    "lum_model_2D = func_gauss_2D(best,x_2D,y_2D) # geramos los valores de luminucidad deacuerdo al modelo\n",
+    "\n",
+    "# GRÁFICA\n",
+    "\n",
+    "fig = plt.figure(figsize=(6, 6))\n",
+    "ax = fig.add_subplot(111, projection='3d')\n",
+    "ax.scatter(x_2D, y_2D,lum_model_2D, linewidths=1,\n",
+    "           alpha=.7, edgecolor='k',s = 5)\n",
+    "ax.set_xlabel('eje X')\n",
+    "ax.set_ylabel('eje Y')\n",
+    "ax.set_zlabel('Lum')\n",
+    "plt.title('Ajuste Gaussiano Scatter')\n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# GRÁFICA\n",
+    "\n",
+    "x_para_model = np.arange(0, estrella0.shape[0],0.1)\n",
+    "y_para_model = np.arange(0, estrella0.shape[1], 0.1)\n",
+    "\n",
+    "\n",
+    "X, Y = np.meshgrid(x_para_model, y_para_model)\n",
+    "Z = func_gauss_2D(best,X,Y)\n",
+    "\n",
+    "fig = plt.figure()\n",
+    "ax = plt.axes(projection='3d')\n",
+    "ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap='Blues', edgecolor='none')\n",
+    "ax.set_xlabel('x')\n",
+    "ax.set_ylabel('y')\n",
+    "ax.set_zlabel('lum')\n",
+    "plt.title('Ajuste Gaussiano Superficie');"
+   ]
+  },
+  {
+   "attachments": {},
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Anchura a media altura (FWHM )\n",
+    " Se define con la siguiente ecuación.\n",
+    " \n",
+    " <img src=\" https://wikimedia.org/api/rest_v1/media/math/render/svg/156b334e8449d05b7707f8a7b673f85f7141b27e\"> \n",
+    " \n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "El valor para FWHM es :  13.130398957324719\n"
+     ]
+    }
+   ],
+   "source": [
+    "# definimos la funcion para el FWHM\n",
+    "def FWHM(sigma):\n",
+    "    return 2*math.sqrt(2)*sigma\n",
+    "print('El valor para FWHM es : ', FWHM(best[1]))\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.7.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/Entrega1.ipynb b/Entrega1.ipynb
index 5d9023eaaea074f2f1440b706c5c62e9d602aed4..f41ec6c4de58e790acfc3e238f0408f9030e61f3 100644
--- a/Entrega1.ipynb
+++ b/Entrega1.ipynb
@@ -116,22 +116,22 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<matplotlib.image.AxesImage at 0x7fa3da4c6080>"
+       "<matplotlib.image.AxesImage at 0x7fa3ba5927f0>"
       ]
      },
-     "execution_count": 4,
+     "execution_count": 14,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": "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\n",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -143,7 +143,7 @@
     }
    ],
    "source": [
-    "estrella0 = Grayscale[547:562,655:671]\n",
+    "estrella0 = Grayscale[547:561,655:671]\n",
     "plt.imshow(estrella0, cmap=cm.gray, vmax=np.max(estrella0))"
    ]
   },
diff --git a/Untitled.ipynb b/Untitled.ipynb
deleted file mode 100644
index 7fec51502cbc3200b3d0ffc6bbba1fe85e197f3d..0000000000000000000000000000000000000000
--- a/Untitled.ipynb
+++ /dev/null
@@ -1,6 +0,0 @@
-{
- "cells": [],
- "metadata": {},
- "nbformat": 4,
- "nbformat_minor": 4
-}