Gasket Perspective Test 1

I'm preparing to write a program to render an extrusion of an Apollonian Gasket. The particular variation I want to work with is the one whose largest three circles have curvatures of -10, 18, and 23, because it's obviously not symmetrical. However, it would seem that I've chosen a view that almost makes the gasket look like it is symmetrical! Actually, it looks like I was trying to achieve symmetry, but failed. So now I'm pondering whether I should proceed with this view, with its accidental almost-symmetry, or choose a different view... Anyone have opinions?