If I wanted to surround myself with mirrors how would I need to arrange them so that if I stood in the middle of them I couldn't see myself in any reflection? 

For simplicity let's just say we only do the sides, not the ceiling and the floor. 

How many panels would I need and in what configuration? 

It seems to me that only a star formation could work, where all the mirrors are angled slightly outwards from me, but I'm not sure that at some point I would be reflected.

Is this even possible? Any ideas?

UPDATE:

Based on all the responses below I believe the problem is that I cannot have any angle facing me that is at 180 degrees or less.

For example, this is at about a 30 degree angle and doesn't work (thanks @mmesser314):

![enter image description here](https://i.stack.imgur.com/beNZD.png)

And this one is exactly 180 degrees and obviously will not work:

![enter image description here](https://i.stack.imgur.com/zlEG8.png)

But from 181 degrees onward light is reflected away, like this:

![enter image description here](https://i.stack.imgur.com/oN2bt.png)

So if we could figure out a configuration where I cannot see any angle that is less than 180 degrees I should never be able to see my reflection. This is what I came up with. Can anyone tell me if this (or some variation of it) seems valid?

![enter image description here](https://i.stack.imgur.com/B591o.png)