I was thinking about doing a small experiment during university course where participants have to answer a personality quiz and then they have to compare different symbols (like triangles, rectangles of different ratios) on a split screen view, comparing two symbols at the same time, choose the preferred one and taking reaction time. Just to get information about common preferences for shapes! Obviously these symbols should have some basic information in common (pixel density, color) so shouldn't be completely different.
How can I create a set of symbols that have the same area even if they varied in geometrical form (ratio)? How should I decide which forms in which ratios should be presented?