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The government of Canada has never provided a mathematical or geometric description of the maple leaf on the Canadian flag. Two government drawings of the flag exist:
The diagram on this construction sheet is based on careful measurements taken from an image of the 1964 drawing as it appears in CAN/CGSB-98.1-2003 ; corrections have been applied to remove asymmetries. The result is very close to the government vector image which can be found in CAN/CGSB-98.1-2018 .
The maple leaf can be drawn with 25 line segments and 12 minor arcs. Bezier curves are not required. Each line segment (except for the one on the bottom of the stem) is connected to one end of a minor arc. The line segments are tangent to their connected arcs such that each transition from line segment to arc forms a mathematically smooth path.
The full mathematical representation uses a 1920×960 grid and a standard Cartesian coordinate system. The following are defined:
The following can be derived using trigonometry:
Le gouvernement du Canada n'a jamais fourni de description mathematique ou geometrique de la feuille d'erable sur le drapeau canadien. Deux dessins gouvernementaux du drapeau existent:
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