# Verfassungsgemäße Geometrie

Nepal dürfte das einzige Land der Welt sein, dessen Landesflagge per Verfassung durch eine 24-schrittige geometrische Konstruktion festgelegt wird.

Kein Witz, Artikel 5.1 der nepalesischen Verfassung (gemäß dieser Übersetzung):

National Flag
(A) Method of Making the Shape inside the Border
(1) On the lower portion of a crimson cloth draw a line AB of the required length from left to right.
(2) From A draw a line AC perpendicular to AB making AC equal to AB plus one third AB. From AC mark off D making line AD equal to line AB. Join BD.
(3) From BD mark off E making BE equal to AB.
(4) Touching E draw a line FG, starting from the point F on line AC, parallel to AB to the right hand-side. Mark off FG equal to AB.
(5) Join CG.
(B) Method of Making the Moon
(6) From AB mark off AH making AH equal to one-fourth of line AB and starting from H draw a line HI parallel to line AC touching line CG at point I.
(7) Bisect CF at J and draw a line JK parallel to AB touching CG at point K.
(8) Let L be the point where lines JK and HI cut one another.
(9) Join JG.
(10) Let M be the point where line JG and HI cut one another.
(11) With centre M and with a distance shortest from M to BD mark off N on the lower portion of line HI.
(12) Touching M and starting from O, a point on AC, draw a line from left to right parallel to AB.
(13) With centre L and radius LN draw a semi-circle on the lower portion and let P and Q be the points where it touches the line OM respectively.
(14) With centre M and radius MQ draw a semi-circle on the lower portion touching P and Q.
(15) With centre N and radius NM draw an arc touching PNQ [sic] at R and S. Join RS. Let T be the point where RS and HI cut one another.
(16) With Centre T and radius TS draw a semi-circle on the upper portion of PNQ touching it at two points.
(17) With centre T and radius TM draw an arc on the upper portion of PNQ touching at two points.
(18) Eight equal and similar triangles of the moon are to be made in the space lying inside the semi-circle of No. (16) and outside the arc of No. (17) of this Schedule.
(C) Method of making the Sun
(19) Bisect line AF at U and draw a line UV parallel to line AB touching line BE at V.
(20) With centre W, the point where HI and UV cut one another and radius MN draw a circle.
(21) With centre W and radius LN draw a circle
(22) Twelve equal and similar triangles of the sun are to be made in the space enclosed by the circles of No. (20) and of No. (21) with the two apexes of two triangles touching line HI.
(D) Method of Making the Border
(23) The width of the border will be equal to the width TN. This will be of deep blue colour and will be provided on all the sides of the flag. However, on the five angles of the flag the external angles will be equal to the internal angles.
(24) The above mentioned border will be provided if the flag is to be used with a rope. On the other hand, if it is to be hoisted on a pole, the hole on the border on the side AC can be extended according to requirements.
Explanation: The lines HI, RS, FE, ED, JG, OQ, JK and UV are imaginary. Similarly, the external and internal circles of the sun and the other arcs except the crescent moon are also imaginary. These are not shown on the flag.

## Kommentare (19)

1. #1 pufaxx
7. August 2012

Soviel Aufwand – und es sieht trotzdem nicht ausgewogen aus.

Natürlich habe ich mir die Bezeichnungen der Punkte nicht gemerkt. Aber die schrägen Linien dürften für meinen Geschmack gerne parallel sein. Die beiden weißen Symbole ein bisschen weiter nach rechts, das obere weiter nach oben, das untere weiter nach unten, so dass deren Kanten jeweils nach links und rechts sowie nach oben und unten in etwa den selben Abstand zu den blauen Outlines … Dings …

(Warum öffnen die nicht gleich ne Vektorgrafik im Editor und schreiben DAS in die Verfassung? Gehört sowas eigentlich in eine Verfassung?)

2. #2 Frank Wappler
7. August 2012

퀘 스 너 틸 로 schrieb (07.08.12 · 18:29 Uhr):
> […] (A) Method of Making the Shape inside the Border
> […] (1) […] draw a line AB
> […] (2) […] draw a line AC […] Join BD.
> […] (4) […] draw a line FG
> […] (5) Join CG.

Es scheint unbestimmt und willkürlich, ob diese fünf zu zeichnenden (geraden) Linien an sich die “Figur” (“Shape“) darstellen sollen, und demnach vollständig und beidseitig vom “Grenzstreifen” (“Border“) umgeben sein sollen;
oder stattdessen (entsprechend der Abbildung, und der entsprechenden Auffassung von “Figur”) nur einseitig, und die Linien BD bzw. FG nur unvollständig (nämlich nur deren Abschnitte BE bzw. EG).

3. #3 Frank Wappler
8. August 2012

schrieb (07.08.12 · 18:29 Uhr):
> (D) Method of Making the Border
> (23) […] the five angles of the flag […]

Die damit vorgegebene Anzahl von fünf “Winkeln” steht natürlich in engem Zusammenhang mit der per Methode “(A)” vorgegebenen “Figur” der Flagge.
Allerdings ist auch diese Vorgabe sowohl mit der Auffassung der “Figur” als Fläche des
fünfseitigen Polygons ABEGCA verträglich, als auch mit der Auffassung der “Figur” als
Gesamtheit der fünf zu zeichnenden Linien AB, AC, BD, FG und CG;
je nachdem ob

– einerseits die verschiedenen Winkel mit Scheitelpunkten an den fünf verschiedenen Ecken des Polygons gemeint sind (nämlich die Winkel ABE, BEG, EGC, GCA und CAG; wobei allerdings die Winkel ABE und BEG den gleichen Wert haben), oder

– andererseits die fünf verschiedenen Winkelwerte, die zwischen den fünf zu zeichnenen Linien bzw. den sie begrenzenden Rändern auftreten (nämlich
der Wert der Winkel ABE, BEG, DEF und FDE,
der Wert der Winkel BAF, AFG und CFG,
der Wert der Winkel BEF, DEG und CDE, sowie
der Wert des Winkels ACG und
der Wert des Winkels CGE;
womit allerdings zwölf verschiedene Winkel mit insgesamt sechs verschiedenen Scheitelpunkte genannt sind).

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