Last modified: **2020-12-05** by rob raeside

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2:3 by

The specification for the flag (provided by Embassy of Mauritania in Tokyo,
Japan) gives the hoist as a 20/60/20 for the red/green/red areas. In the green
section, the crescent and star take 67% percent of that space (20/10/40/10/20
according to the sheet). The other interesting thing is that the tip of the
crescent horns end where the star arms meet at their outermost points. The flag
maintains the 2x3 overall ratio.

There are also assigned colors; green is
Pantone 354 Uncoated, Yellow as Pantone Yellow 012 Coated and Red as 18.1664. I
believe the red shade is an error as Pantone does not have partial values; my
guess is 186 Coated.*Zachary Harden*, 24 January 2018

Everything except 20-10-40-10-20 and 75-75 are speculations based on the
drawing provided in the specifications. The star seems to be set in a circle
with radius 10 its bottom being in the centre of the flag (crossing point of the
diagonals), thus its centre 10 units toward the top of the centre of the flag.

The horizontal line of the regular star inscribed in it (being approximately 13
units upwards from the horizontal median of the flag) seems to be also the line
in which the horns of the crescent end.

The crescent itself
seems to have been constructed not from regular circles, but ellipses, the lower
edge being an ellipse with the centre in the above-mentioned horizontal line ca.
13 units up from the median, with axes being 74 and 66 (horizontal and vertical
respectively). The upper edge is in an ellipse with the centre at the edge
between the red and green fields, thus 30 units above the median, with axes 82
and 80. This makes the crescent at its widest 10 units wide.

Now, it may
well happen that this speculation is not worth much, as the drawing we got may
have been distorted in scanning and other procedures it went through, or it may
simply be not precise drawing enough in those details, but this is best we have
so far.*Željko Heimer*, 24 January 2018

2:3
by *Željko Heimer*, 24 January 2018

In May 2020: The government published
http://www.kennach.gov.mr/documents, the graphic design manual. At
http://www.kennach.gov.mr/IMG/pdf/_ar_fr_charte_graphique_mauritanie.pdf is
a very detailed specification of the national flag (http://www.kennach.gov.mr/docs/plan01.pdf)
usage guidelines, along with specifications of the national emblem.*
Zachary Harden*, 3 November 2020

The specification sheet provided is overzealously providing dimensions for
the star construction, quite unnecessary, that obfuscate the more important
construction details, but with a careful interpretation, it may be determined.
So, here it is how I gather this. Also, some of the measures are obviously
wrongly indicated - but the "true" meaning can be figured out.

The
overall dimensions of the flag are 100:150 (for ease of number manipulation, the
decimal free construction would simply take 10 times larger numbers). The width
of red stripes is 20 units each, making the green stripe 60 units. The yellow
emblem is set in the center of the flag in an imagined rectangle 75 units wide
and 40 units high. This makes 37.5 units of horizontal space on each side from
the vertical flag edges to the tips of the crescent, and 10 units from the top
and bottom edges of the green stripe to the top of the star and the bottom of
the crescent.

That was easy so far...

To match the (over)provided dimensions of the star, the diameter
that I found mostly matching the prescriptions is 20.85. This may probably be
easily approximated to 21 or even down to 20 units without much practical
difference - since no other dimension depends on it. Of course, the top of the
imaginary circle circumscribing the star matches the center of the top edge of
the imaginary rectangle containing the yellow symbols, and the star is a regular
five-pointed star made of diagonals connecting every second vertex of the
inscribed pentagram (as usual).

The arches forming the crescent are
tricky - consisting of ellipses. The center, designated C1 on my drawing, of the
ellipse forming the bottom arc of the crescent is set, according to the provided
prescription, 3.5 units beneath the top of the star. The longer horizontal
semi-axis equals 37.5 units (so to make 75 units overall dimension of the
rectangle, thus tangent to the vertical edges of that rectangle), while the
vertical semi-axis is 36.5, also tangent to the edge of the imaginary rectangle.
This makes the ellipse that reaches the top at 3 units outside the flag surface
above the center of the top edge of the flag.

The requirement for the top
arc of the crescent is to intersect the first arc at the furthest points, i.e.
where they are tangent to the imaginary rectangle along the main axis of the
first ellipse. Also, it is required that the vertical width of the crescent at
the widest is 10.2 units. Not using mathematically precise construction (which
may yield slightly more precise dimensions, but not necessary for any practical
purpose), this is achieved with an ellipse with the center, designated C2, 5.1
units above the center of the first ellipse, and with the semi-axes A2 38 units
and B2 31.4 units. The top of this ellipse tangents the first ellipse, i.e. they
are at the same point outside the flag surface.

And that provides for the
complete flag construction. I provide the "standard" FOTW gif and
a larger image
with details of the construction better visible.*dr. sc. Željko Heimer*, 3 November 2020