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'Two Shapes & Printer Ink' printed from https://nrich.maths.org/

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Some solution we were offered cleverly reasoned that the grid, offered in the Hint as an approximation, was in fact completely accurate at the pixel level - which for printer ink is what counts. Sometimes we explore mathematics in unreal perfection for the sake of the thinking that will draw us into. Other solutions did this:

"You can split the problem up into combinations of circular shapes, each of which we can find the area of. Doing this I foundthat the star is over 5% larger than the S shape."