Or we can make a circle of the notes in the original sequence Ab C Eb G Bb Db F and then connect the notes alphabetically with lines to obtain a completely different type of 7-pointed star.
Pythagoras was right!
What is also noteworthy is that the sequence of the C scale by thirds--C E G B D F A--contains how the notes are laid out on manuscript paper. FACE represents the spaces between the lines on the treble staff and EGBDF represents the staff lines themselves. Needless to say, it also describes the layout of the bass staff: ACEG GBDFA respectively.
But what's even more noteworthy is that no matter what scale on the Circle we plot out, the order of the notes follows that layout if we ignore the accidentals for the moment. For example, the Ab flat scale:
Ab C Eb G Bb Db F
Ignore the accidentals and there it is again ACE GBDF
Pick another scale—say F:
F A C E G Bb D F'
And there it is again: FACE EGBDF
It will always work out that way. It will always show the layout on staff paper and form a 7-pointed star. Doesn’t matter if you use the equivalent minors and it doesn’t matter if you use enharmonic equivalents. It always produces the same pattern.