1. Having been one, he becomes many
  2. Having been many, he becomes one
  3. He appears and vanishes
  4. He goes unhindered through a wall, through an enclosure, through a mountain, as though through space
  5. He dives in and out of the earth as though it were water
  6. He walks on water without sinking as though it were earth 7. Seated cross-legged, he travels in space like a bird
  7. With his hand he touches and strokes the moon and sun so powerful and mighty
  8. He wields bodily mastery even as far as the Brahma-world
  9. The divine ear element, which is purified and surpasses the human, that Blessed One hears both kinds of sounds, the heavenly and the human, those that are far as well as near
  10. The Blessed One encompasses with his own mind the minds of other beings, other persons

(from Majjhima Nikaya 12 Samyutta Nikaya 12.70)

iddhi
’power’, ‘magical power’. The magical powers constitute one of the 6 kinds of higher spiritual powers (abhiññā, q.v.). One distinguishes many kinds of magical powers:
the power of determination (adhitthān’ iddhi), i.e. the power of becoming oneself manifold;
the power of transformation (vikubbana iddhi), i.e. the power of adopting another form;
the power of spiritual creation (manomaya iddhi), i.e. the power of letting issue from this body another mentally produced body;
the power of penetrating knowledge (ñāna-vipphara iddhi), i.e. the power of inherent insight to remain unhurt in danger;
the power of penetrating concentration (samādhivippharā iddhi) producing the same result.
The magical powers are treated in detail in Vis.M. XII; Pts.M., Vibh. - (App.).
They are not a necessary condition for final deliverance.
‘Noble power’ (ariyā-iddhi) is the power of controlling one’s ideas in such a way that one may consider something not repulsive as repulsive and something repulsive as not repulsive, and remain all the time imperturbable and full of equanimity. This training of mind is frequently mentioned in the Suttas (e.g. M.152, A.V.144), but only once the name of ariyā-iddhi is applied to it (D.28). See further Pts.M., Iddhi-kathā, Vis.M. XII.