For the purpose of these notes, a unit corresponds to the units used in this construction sheet. One unit is ¹⁄₁₂₅ the width of the flag or ¹⁄₂₅₀ the length of the flag.

• Given the specifications prescribed by the law, the minimal possible radius of the inner arc is roughly 14.790199 units, but as stated above we are assuming the inner arc radius to be equal to the outer arc radius (15 units).
• The outer arc of the crescent has an outer arc angle of about 199.188136° (measured tip to tip). Flag makers often break the specifications and create crescents with an angle of closer to 270°. To to this, something has to give; usually the gap between the stars is changed or the crescent and stars consume a total width that is more than the 75 cm (units) prescribed in the law.
• An old hand drawn government construction sheet can still be viewed online; it is not without issues and it may be part of the reason why the specifications are not adhered to. Measurements from the old construction sheet show a vertical gap between the stars of about 6 units and a horizontal gap of about 4 units. The vertical gap is labeled as "6", but the horizontal gap is not labeled at all. The law says that both vertical and horizontal gaps are supposed to be 6 units. By reducing the horizontal gap from 6 to 4, the space left over for the crescent on the left side of the 75x30 rectangle was increased by 8 units. This increased the overall width of the crescent which in turn increased the angle of the outer arc to about 270°. The larger arc angle allowed for a smaller inner arc arc radius... indeed, the drawing has an unlabeled inner arc radius of roughly 26 units.
• The 2012 Olympic Flags and Anthems Manual shows a outer arc angle of about 260° and a very small inner arc radius of about 23 units. Unintentionally or not, it gives the look of a partial solar eclipse instead of a new moon.
• Somebody documented the problems with the old government construction sheet on Reddit.
• The newer government construction sheet that accompanies law 407-XII is drawn properly to scale and it appears to clarify all the major issues present in the old construction sheet.

1. Which came first... the law or the original construction sheet?
2. Is it possible that the designer wanted an outer arc of 260° or 270° but failed to create a drawing that could properly be deciphered by a legal team?

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