General relativity combined with a non-linear electrodynamics enables to find regular black hole solutions. The best known solution of this kind is described by the Bardeen spacetime with spacetime parameters giving gravitational mass m and magnetic charge g. For ratio g=m large enough, the Bardeen spacetime describes a no-horizon regular solution. Here we demonstrate properties of the Bardeen spacetimes by the embedding diagrams of the equatorial plane of the ordinary geometry, and the optical geometryenabling reflection of properties of test particle motion.