Hi,

Is your model only two-dimensional? If so, I think you would have to have 2 images to show both sides.

And, yes, we can now see all sides of the Sun all the time, at the same time! The Sun rotates once about every 25 days, although since the Earth is also moving around the Sun in the same direction it actually takes 27 days for us to see the full rotation of the Sun. So we could always see all sides of the Sun eventually (unlike the Moon, which always has the same side facing the Earth). But, things change (sometimes extremely rapidly - in seconds) on the Sun all the time, so very interesting stuff could be happening on the 'backside' of the Sun which wouldn't still be happening when that side finally rotated around roughly 13 days later.

In 2006, two identical spacecraft called STEREO were launched (www.nasa.gov/stereo), with one of the spacecraft (STEREO Ahead) moving ahead of the Earth and the other (STEREO Behind) lagging behind the Earth. The two STEREOs are now more than 130 degrees ahead and behind the Earth and so are viewing very different sides of the Sun as compared to satellites, like the Solar Dynamics Observatory (SDO), near Earth. You can see the relative positions around the Sun of the STEREOs relative to Earth here: http://stereo-ssc.nascom.nasa.gov/where.shtml

By combining the observations from STEREO and other spacecraft near Earth we can see what is going on all around the Sun and get a better sense of in which directionthings like coronal mass ejections (big explosions of material thrown off from the Sun into space) are heading.

Good luck with your model!

-Christina