Egg Box Symmetry

I do like an egg box with maximum symmetry. A full box had three: two axes of reflection symmetry and one centre of rotational symmetry. If I see an asymmetric egg box I have to rearrange the contents to increase the amount of reflection and rotational symmetry. I am not mad!

For example:

 becomes 

Mary says I am a sad muppet.

Egg Count	Best 3 Symmetries	Middling 1 Symmetry	Worst 0 Symmetries
Six		N/A	N/A
Five	N/A
Four
Three	N/A
Two
One	N/A
None		N/A	N/A

Blah.