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+
+
+```
+#Import libraries for simulation
+import tensorflow as tf
+import numpy as np
+
+#Imports for visualization
+import PIL.Image
+from cStringIO import StringIO
+from IPython.display import clear_output, Image, display
+import scipy.ndimage as nd
+```
+
+
+```
+def DisplayFractal(a, fmt='jpeg'):
+  """Display an array of iteration counts as a
+     colorful picture of a fractal."""
+  a_cyclic = (6.28*a/20.0).reshape(list(a.shape)+[1])
+  img = np.concatenate([10+20*np.cos(a_cyclic),
+                        30+50*np.sin(a_cyclic),
+                        155-80*np.cos(a_cyclic)], 2)
+  img[a==a.max()] = 0
+  a = img
+  a = np.uint8(np.clip(a, 0, 255))
+  f = StringIO()
+  PIL.Image.fromarray(a).save(f, fmt)
+  display(Image(data=f.getvalue()))
+```
+
+
+```
+sess = tf.InteractiveSession()
+```
+
+    Exception AssertionError: AssertionError() in <bound method InteractiveSession.__del__ of <tensorflow.python.client.session.InteractiveSession object at 0x6247390>> ignored
+
+
+
+```
+# Use NumPy to create a 2D array of complex numbers on [-2,2]x[-2,2]
+
+Y, X = np.mgrid[-1.3:1.3:0.005, -2:1:0.005]
+Z = X+1j*Y
+```
+
+
+```
+xs = tf.constant(Z.astype("complex64"))
+zs = tf.Variable(xs)
+ns = tf.Variable(tf.zeros_like(xs, "float32"))
+```
+
+
+```
+tf.InitializeAllVariables().run()
+```
+
+
+```
+# Compute the new values of z: z^2 + x
+zs_ = zs*zs + xs
+
+# Have we diverged with this new value?
+not_diverged = tf.complex_abs(zs_) < 4
+
+# Operation to update the zs and the iteration count.
+#t
+# Note: We keep computing zs after they diverge! This
+#       is very wasteful! There are better, if a little
+#       less simple, ways to do this.
+#
+step = tf.group(
+  zs.assign(zs_),
+  ns.assign_add(tf.cast(not_diverged, "float32"))
+  )
+```
+
+
+```
+for i in range(200): step.run()
+```
+
+
+```
+DisplayFractal(ns.eval())
+```
+
+
+![jpeg](output_8_0.jpe)
+
+
+
+```
+
+```