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Construction sheet for the coat of arms - Image by Željko Heimer, 5 February 1999
The construction sheet for the coat of arms and flag of the Republic of Slovenia is issued in the Official Gazette Uradni list Republike Slovenije #67, 27 October 1994. as the addendum to the Law on the coat of arms and flag.
The base of the construction is a grid of 8 x 9 unit squares. The lower
left corner I shall denote as point (0,0). The upper arc is centered in
(4,0) and passes through (1,8.9). The mountain edges are rather
obvious from the image. The wavy lines are constructed on five circles of radius 1
unit - three with centers in (2,3), (4,3) and (6,3), respectively, and two
below them, tangent to them.
The line passing throught the tangenting points of the circles is crucial - this line and the line passing through the center of the upper circles (y=3) are divided in three stripes equally - the width of each stripe is the width which is used for wavy lines and shield border - it is approximately 0.2887 units, I shall call that width W. The wavy bars are gained by "offsetting" of the basic wavy line by the width W three times.
Next crucial step is to find the outer lower arcs of the shield. It is not quite obvious from the drawing in the Official Gazette how it is made, but after some studing I believe that it is done this way - starting with the innermost arc - forming edges of wavy bars. It has center in (4,4.5) (that is certain from the image) and is tangent to the leftmost circle (and in the same manner mirrored for the other side). An arc with radius larger than this one for W forms inner border of red field, and an arc with another W added forms outer border of the shield. A line starting in point where upper arc crosses x=0 is to be made tangent to this last arc, and accompaning parallel one for inner border.
Now we are left only with the stars. The upper left star have center in the crossing of the line connecting the lower mountaintop at (5,5.5) with point (2,5.9), and line y=8.5. Outer circle radius is distance from that center to the line x=2.5, while inscribed circle is half of that size. Sixpointed stars have points at 0, 60, 120 deg etc, counting 0 deg at the top. while lower points are at 30, 90 150 etc. The lower star is of the same dimensions, centered at (4,7).
The point at (4,4.5) is the center of the grid.
Željko Heimer, 5 February 1999
Construction sheet for the flag - Image by Željko Heimer, 5 February 1999
The flag is in overall proportions width to length 1:2, horizonatlly divided into three stripes of white, blue and red, thus each being 1/3 of flag width wide. The coat of arms is in upper hoist corner, with mid-point being 1/2 flag width from the hoist and 1/3 from the top (i.e. at white-blue edge). The height of the coat of arms is also 1/3 of the flag width.
Željko Heimer, 5 Febuary 1999