No, it doesn't.
Do you enjoy being wrong all the time or do you just like to punish yourself?
A circle thusly divided
has 12 inside corners, no more, no less,
and they each measure 90 degrees. They
measure so because the center 4 divide a
circle of 360 degrees into 4, each of which
is 90, and the outside 8 are subtended by
the circle into 4 perpendicular intersections
each of which divides 180 degrees by two,
such that the 4 pie-shaped sections each
comprise one closed complex polygon with
3 simple angles and one curved side, the
curve of which stands in place of the 4th
interior angle, and 360 divided by these 4
angles is 90 degrees each.
Ask any mathematician.