Pretty much the same kinds you get during the day. The big difference between day and night is the Sun, which is a star; other stars give off the same kind of radiation the Sun does (a bit less here, a bit more there, and much less intense because they're further away, but still: the same kind).
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Radiation
Electromagnetic radiation is propogated as sine waves.
Electromagnetic radiation sometimes behaves like waves - for example, interference.
infrared radiation
Microwaves are a form of electromagnetic radiation. They are sinusoidal curves and have no edges.