The word Illustrari is a play on the latin word "illustrare" which means "to illuminate" or "to explain". To be precise, it is the infinitive passive version of the word. Which would be translated to "getting illuminated". 

This word is also the basis for the English word "illustration", which is where my idea for the name came from. 

The word also has a design aspect to it. The beginning letters I-L-L-U create, depending on the font used, a row of vertical lines that one by one get further away from each other, giving way to the more complex letters. The I at the end of the word closes off the construct by repeating the letter from the beginning, and together they build a block out of the word.  

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But maybe i just thought it sounded cool... you will  never know.