Anyone can build a small optical device using only two round plane mirrors of size a little more than your pupil to look 360 degree with slight rotation of head.
Plane mirror is even more important and useful than you may think.
Plane mirror do not change size of object when used.
There is no power, so you can use plane mirror anyway you want without affecting your eyes.
When placed closer to eyes then small size plane mirror can cover a lot of area to watch.
So just attach two small round mirrors of size slightly more than pupil in some clip type frame that you can put on your nose. Play around with angle and position of mirror as per image attached.
At the start you may not be able to use mirrors with both eyes open. So, initially close one eye to use only one mirror at one time. This way you can develop trick to watch the mirrors with both eyes open.
Curious people can do R&D to place these two small mirrors in many ways to achieve even better results. Just try near tip of nose.
If you are allowed to rebuild your nose with some reflecting material then you will get to know that you can watch anywhere with slight rotation of your head.

One small prism placed appropriately and accurately along with frame of sunglasses can be one fun object to experiment with. Reflection from the surface of prism is sufficient to see things clearly. Need precision in machining.
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