# Volume of revolution of a time versus distance graph

If I plot a 'time elapsed' versus 'distance traveled' graph of a photon travelling in a vacuum (time on the vertical axis and distance on the horizontal) and then take the volume of revolution about the time axis, will it somehow correspond to what we call a light cone?

• Technically, you should be talking about the surface of revolution, not the volume of revolution. A light ray can't travel between an event $A$ and some other event $B$ that lies inside the cone $ds^2 = 0$.