Editing Flag of Nepal (section)

===Aspect ratio===
When constructed according to the stated geometric construction law, the [[List of national flags by aspect ratio|ratio]] of the height of the flag to the longest width is an [[irrational number]]. This is common for the hypotenuse of triangles.
:<math>1:\frac{6136891429688 - 306253616715\sqrt{2} - \sqrt{118-48 \sqrt{2}} \left( 934861968 + 20332617192 \sqrt{2} \right) }{4506606337686}</math> ≈ 1:1.21901033… ({{OEIS2C|A230582}}).<ref>{{Cite web | url = http://0xc.de/flags/nepal/ | lang = de | trans-title = Calculation of the aspect ratio of the national flag of Nepal | work = 0xc | title = Berechnung des Seitenverhältnisses der Nationalfahne von Nepal | date = 8 June 2012 | access-date = 11 August 2016 | archive-date = 1 August 2016 | archive-url = https://web.archive.org/web/20160801180236/http://0xc.de/flags/nepal/ | url-status = live }}</ref>

This ratio is the least root of the [[quartic polynomial]]<ref>{{Cite OEIS|sequencenumber=A230582|name= Decimal expansion of the ratio of height to width of the bounding rectangle of the national flag of Nepal, as defined in Schedule 1 of Article 5 of its Constitution.}}</ref><math display= "block">243356742235044 r^4 - 1325568548812608 r^3 + 2700899847521244 r^2 - 2439951444086880 r + 824634725389225,</math>
and arises from the addition of the blue border after construction of the red field.  The bounding rectangle of the red field alone has the rational aspect ratio 3:4 (=1:1.333…).<ref name="unibe" />