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Falling from 10 tiles is 3 and a half hearts.
4 tiles = 1/2 heart
5 tiles = 1 heart
+1 tile = +1/2 heart damage
Therefore,
Damage in hearts = (Height - 3)*0.5
without negatives.
To kill yourself from full,
10 = (h-3)/2
20 = h-3
h = 23
Need to fall 23 tiles :3
---> vede claimed Notch said this (and it is awesome).
Now, how I tested. I built a tower X high (standing on it), then walked off. The following is height and damage (or health remaining).
3 - no damage.
4 - 1/2 heart damage.
22 - Leaves you on one heart.
23 - kills you instantly.
Also, water 2 or more deep appears to negate ALL fall damage. Water 1 deep has no effect.