Mirok, picture a cartesian coordinate system with the origin on the floor in front of you, the x-axis pointing straight at you, the y-axis perpendiculalry to the right, and the z-axis rising vertically out of the floor.
The H-plane would then be the floor (plane formed by the x and y axes). The H-plane can be translated in a linear fashion only, up and down the z-axis, by changing the value of z. It remains "horizontal" to the plane formed by the x and y axes. It's also like a plane that would slice horizontally through the earth at a fixed lattitude.
The E-plane, on the other hand, would be a vertical wall, perpendicular to the floor, and pivoting about a pole aligned with the z-axis. The E-plane can be pivoted only (not translated like the H-plane), by changing the reference angle formed between x and y axes. It would also be like picking a vertical plane to pass from the North pole downwards through opposite lines of longitude (i.e.180 degrees apart at the equator) onwards to the South pole.
The polar equivalent: the H-plane is defined by Theta=pi/2 for all values of Phi (0 to 2pi). The E-plane is defined by Phi=constant (often a reference angle of zero radians but not necessarily so) and all values of Theta = -pi to pi.
Hope that helps.
Cheers,
DT