The idea behind the VADER logo is the letter D which is modular so that it can be applied to a variety of needs. D here is also the initials of "Dad".
The color used is black to indicate maturity and masculinity; gray to show that the father is a reliable figure; and white as a blank sheet of knowledge, so he needs to have this magazine.
There is an example of how the logo will be applied to magazine or social media covers and as an article cover.