Well these are the old-school domestic "mag" lug nuts:
Here is a Nissan/Toyota OEM "mag" lug nut:
These are "acorn" lug nuts:
"cone" lug nuts (common on steel wheels and many OEM Domestics):
These are "tuner" (specifically spline-type) lug nuts:
From what I was told when I worked for America's Tire, the Acorn and Cone lug nuts are basically the same, with the Acorn being closed. They have no flange, but instead have a tapered seating face that fits into female tapered section of the wheel. Tuner lug nuts are this style, just with a very small diameter to fit into tight wheel holes..
The "mag" style lug nuts are designed to hold a wheel with a washer sitting flush against a vertical wheel surface. The wheel doesn't have a rounded socket for a cone to seat into.
Toyota/Nissan mag lug nuts actually have a cone face with a mag flange -- so you can use them for most types of wheels. This was because the imports often had alloy wheels with a steel spare...