Care to rephrase without so much fluffy jargon?

A short and simple layman's description of the research topic with process and conclusion is enough if you attach it to a nice provocative image.

Lots of portfolios have images from various design research exercises; it's part of what we do.  So, nothing new there.  Just title it plainly and describe it simply, minus unnecessary jargon, as suggested above.  Bonus points for any lessons learned in the research.

You show it with imagery and text.

Pretty much what you show at your link is fine for your portfolio - though paring this down to a 2-page spread would conserve real estate and make it a little more easily digested (a lot of reviewers admit they never read anything longer than 2 or 3 lines).

The project is a little cliched though.  Making rules based on a painting and then generating forms from the rules is a traditional first-year project at a lot of schools, and Mondrian is always a popular choice, so there isn't anything in your research project that is particularly new or individual.  There's nothing wrong with it - it just doesn't shed much light on you and your abilities.  If you've got other more unique/personal work that would show your design process maybe consider omitting this.