Advice for 'player' in a FPS

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Ok, i've looked at your code. You linepick is the same distance as your entityradius. You should change the linepick to be just a little longer.

About the un-evenness of the landing. What you could do is this. You translate the gravity downwards. Check the linepick has hit something. If it has, set the player to the Y co-ord of the PickedY() + the length of the linepick.