Definition of matplotlib.pyplot.axes.bbox

1. The value you see displayed is a bit of a complicated Bbox, with nested transforms that it automatically applies. Firstly, it is a TransformedBbox instance - quoting from the docs:

   A Bbox that is automatically transformed by a given transform.

   the representation of it in the console that you show above displays two things (comma separated) - the main Bbox upon which it is based, and the transform that it applies. The transform in this case is a BboxTransformTo object, which:

   BboxTransformTo is a transformation that linearly transforms points from the unit bounding box to a given Bbox.

   In your case, the transform itself is based upon a TransformedBBox which again has a Bbox upon which it is based and a transform - for this nested instance an Affine2D transform.

   The purpose of the transforms (I believe) is to translate from relative co-ordinates to screen units.

   In your example, you might find that the points you expected to see are given by

   >>> ax.bbox.get_points()
   array([[  80.,   48.],
          [ 576.,  432.]])
   

   All the code for this is in available on github if you want to convince yourself exactly what is being displayed.

2. From the documentation, you can instantiate a Bbox object with the four numbers you imagine, e.g.

   from matplotlib.transforms import Bbox
   
   my_blit_box = Bbox(np.array([[x0,y0],[x1,y1]])
   

   You could also use one of the static methods, e.g.

   my_blit_box = Bbox.from_bounds(x0, y0, width, height)
   

Caveat

I haven't got your use case, so can't say whether rolling your own Bbox and passing it to blit() will work directly for your case.

However, it's likely to be a really complicated way round to do what you want.

Assming that you want to animate a plot - you can usually pass blit=True in as an argument to the animation functions and they will sort this out themselves. The docs are here. There are some examples here, including ones with subplots. As a skeleton - you might do something like

fig = plt.figure()
ax1 = fig.add_subplot(1, 2, 1)
ax2 = fig.add_subplot(2, 2, 2)
ax3 = fig.add_subplot(2, 2, 4)

    # Code to actually put data on your 3 axes

animation.TimedAnimation.__init__(self, fig, interval=50, blit=True)

If you want to refresh one subplot out of many - passing in the ax.bbox directly into the blit function should work.

Note that most of the examples given don't define their own Bbox, but rather pass in a Bbox derived from an axes, figure or canvas into blit. Note also that passing nothing into ax.figure.canvas.blit() will redraw the whole canvas (the default option - although I can't see why you'd want to do that).