Informatics is concerned with information, computation, etc. Computer/Information science can be thought of as the search for finite representations of (potentially) infinite objects.
Finite representations of infinite objects
Towers of Hanoi
My dissertation area in computer science is applied programming language theory. To me, that involves two primary concepts.
tree structures that arise and change during execution
programs that write programs, that write programs, etc.
Here is some more content.
Bezier curve approximations