Systems and methods of manipulating and transforming data and sharing ideas include a map comprised of one or more diocards. Each diocard represents an individual idea and has the same group of functions including a distinctions function, a systems function, a relationships function, and a perspectives function. The distinctions function enables definition of the individual idea by attributes the individual idea is comprised of and by non-attributes the individual idea is not comprised of. The systems function enables definition of the individual idea as part of a whole or a whole that can be broken into parts. The relationships function enables definition of the individual idea as having a relationship with one or more different ideas and that this relationship may include action and reaction-like properties. The perspectives function enables definition of the individual idea as a point having a view with respect to one or more different ideas.