Three marvels are ascribed to the Buddha:
the marvel of magic (iddhi-p.),
the marvel of mind-reading (ādesanā-p.) and
the marvel of instruction (anusāsanī-p.).
In D.11, the Buddha says that he sees danger in the first two and therefore abhors them.
In A.III.61, the 'marvel of instruction' is called the one 'more noble and sublime'.
For iddhi-pātihāriya, see D.25.
See also yamakapātihāriya.