The result is eight acrylic paintings of celebrities from the past 70 or so years, made up of thousands of triangles.
Dickison said the first completed piece was of Marilyn Monroe.
"I thought about how everyone knows her name and what she looked like as a beauty icon, but not many know her real lived experience and what her life was actually like.
"You are presented with these broken images, but when you step back far enough you can see who it is.
"It's the way we see iconic celebrities versus who they might be underneath it all."
Another work features Britney Spears.
"She's a prime example of a woman who was intensely loved by the world, but went through an insane amount of stress and disappointment in her life," Dickison said.
"I'd had Britney in my mind for the series for a long time, and with all the #freebritney news coming out in mainstream media, its really driven home this idea of toxic fame and destructive media with this body of work I've created."
As for the creative process, Dickison said, try as she might, she couldn't stop the perfectionist in her from coming out.
"I would like to say that I could just do a grid of triangles, look at a photo, and whack it on the canvas and hope for the best.
"Instead, I worked up a template using my own formula. I wanted to make sure that when the image was translated into these little triangles you could still see who it was when you got a little bit of distance.
"It does help that the people I've chosen are so iconic it would hard not to know who they are."
And how many triangles went into the series?
"On one of the bigger ones there are about 2500. So yeah, there are thousands and thousands," Dickison said.
"Each work took between 50 and 100 hours."
"I find it so much easier to get that fine detail with pencils, whereas with paint you have to choose the right brush, get the right consistency, and hold it as steady as you possibly can to get that fine point of the triangle.
"There were a couple of different techniques along the way, but we got there in the end."
She'd got a lot better at turning down commission requests in order to finish Fragments of Fame, Dickison said.
The drawing work she made her name for was still a major passion, however.
"You do feel a pressure to always say yes to drawing someone's cat or grandpa or motorbike.
"This [Fragments of Fame] has been my number one priority, and it's finally happening.
"You'll definitely be seeing a different side to me and my artistry."
• Fragments of Fame debuts from 5.30pm to 7pm on Wednesday, October 20 at Space Studio and Gallery. The exhibition runs until October 30.