The mantis shrimp can perceive both polarized light and multispectral images; they have the most complex eyes in the animal kingdom

The mantis shrimp can perceive both polarized light and multispectral images; they have the most complex eyes in the animal kingdom. Human eyes have color receptors for three colors (red, green, and blue); the mantis shrimp has receptors for sixteen types of color, enabling them to see a spectrum far beyond the capacity of the human brain.
Seriously, how cool is the mantis shrimp?
What might they be able to see that we cannot? What are we missing?