Nepal Life & Culture

The Nepali Flag: Meaning, Unique Shape, and the Math Behind It

Nepal's flag looks like a simple red banner with a moon and a sun. It is actually one of the most mathematically unusual national symbols on Earth, and its exact shape is written into the Constitution.

38 min read Published: September 2026 Merokalam Team

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Put the flags of twenty countries side by side and something becomes obvious almost immediately: nearly all of them are rectangles. A blue rectangle with stars, a red rectangle with a circle, three stripes inside a rectangle, over and over. Nepal's flag is not one of them. It is the only national flag in the world today that is not a quadrilateral at all, built from two stacked pennants instead of four straight sides.

That alone would make it an interesting outlier. What makes it a genuinely strange object is what happens next: Nepal's Constitution does not simply describe this flag in words. It tells you how to draw it, point by point, line by line, arc by arc, the way a geometry textbook walks you through a compass-and-straightedge construction. Somewhere between a national symbol and a proof, Nepal ended up with a flag whose legal definition is, quite literally, a set of construction instructions.

This is the story of why Nepal's flag looks the way it does: where the double-pennant shape came from, what every color and symbol is actually documented to mean (as opposed to what is simply repeated online), who is credited with turning it into a precise design, and how a national Constitution ended up functioning, in effect, like a geometry worksheet.

Quick Answer

Nepal's flag is the world's only non-quadrilateral national flag: two crimson pennants stacked vertically, edged in deep blue, with a white crescent moon on the upper pennant and a white twelve-rayed sun on the lower one. Its shape is not just described but constitutionally constructed, through a step-by-step sequence of lines, perpendiculars, and arcs set out in Schedule 1 of the Constitution of Nepal. That construction produces a height-to-width ratio of roughly 1:1.219, an irrational number that cannot be written as a simple fraction, making Nepal's flag one of the only national flags in the world with a mathematically irrational shape.

Why Nepal's Flag Looks Different From Every Other National Flag

Direct answer: Nepal's flag is not merely "non-rectangular." Every other national flag in use today, including unusual ones like Switzerland's or Vatican City's square flags, is still a quadrilateral: four straight sides, four corners. Nepal's flag is built from two joined triangular pennants, which gives its outline five sides rather than four, an irregular pentagon rather than any kind of rectangle or square.

It helps to be precise about the distinction here, because most articles blur it. A square flag is technically not a rectangle in the everyday sense of "longer than it is tall," but a square is still a quadrilateral, a four-sided shape with four right angles. Switzerland's flag and Vatican City's flag are both squares, and both are still, geometrically, in the same family as every rectangular flag on Earth.

Nepal's flag is not in that family at all. Its outline is what the flag's Wikipedia description calls an irregular pentagon: two triangular pennants, stacked one above the other, sharing a single straight edge on the hoist (flagpole) side. Trace the outline with a finger, starting at the top of the pole: down the straight hoist edge, out to the point of the upper pennant, back in toward the pole at a small notch, out again to the point of the larger lower pennant, and back down to the bottom of the pole. Five straight sides, five corners. No other country flying a national flag today uses this kind of construction.

That is the more accurate and more interesting claim than the one most sites repeat. "The only non-rectangular flag" is true but undersells it. The precise version, "the only non-quadrilateral national flag," is the one that actually explains why Nepal's flag needs a geometric construction method at all: you cannot describe an irregular pentagon with a simple width-to-height ratio the way you can a rectangle. You need points, lines, and angles. Nepal's Constitution supplies exactly that.

Nepal Flag at a Glance

Before going any further into history or geometry, here is the flag broken into its six basic elements. The right-hand column becomes the rest of this article.

ElementWhat it isWhy it matters
Overall shapeTwo joined triangular pennants (an irregular pentagon)Makes Nepal the world's only non-quadrilateral national flag
Main fieldCrimson redNepal's national color, constitutionally specified
BorderDeep blue, uniform width on all sidesFrames the pennants and is itself part of the mathematical construction
Upper emblemWhite crescent moon, eight rays visible of sixteenBuilt from arcs and triangles inside the upper pennant
Lower emblemWhite twelve-rayed sunBuilt from two concentric circles inside the lower pennant
ConstructionFully geometric, defined step by stepSpecified in Schedule 1 of the Constitution of Nepal, not just described in words

This table separates what the flag physically is from why each part is significant. The sections below go through each row in depth, and are careful to separate officially documented meaning from popular interpretation, since the two get conflated constantly online.

The History Behind Nepal's Double-Pennant Flag

Nepal's flag was not invented in 1962. What happened in 1962 was standardization, the point where a design tradition that had existed for centuries, in various inconsistent forms, was finally given one exact, legally enforceable shape. The pennant itself is much older.

Early Pennant Traditions and the Shah Period

Triangular pennants, rather than rectangular banners, were a common battle and ceremonial standard across the Indian subcontinent and the Himalayan region for centuries before Nepal existed as a unified state. When King Prithvi Narayan Shah unified the many small principalities of the Kathmandu Valley and surrounding hill states into what became the Kingdom of Nepal in the mid-1700s, he is credited with bringing together the double-pennon idea that later became the national flag. Historical accounts describe the earlier Gorkha Kingdom flying a single triangular war banner, red, carrying various deities and symbols associated with the Shah rulers. The modern flag's two-pennant design is generally understood to combine visual traditions from both the Gorkha Kingdom's banner and the flag once used by the Mustang Kingdom, one contributing a pennant associated with the Shah dynasty's sun, the other a pennant associated with the historic moon symbolism of the region.

The Rana Period: When the Sun and Moon Had Human Faces

For a large part of its history, Nepal's flag looked noticeably different from the clean, faceless version flown today. Early depictions, including sketches by the British doctor and artist Henry Ambrose Oldfield from the mid-1800s, and a description in Percival Landon's 1928 book Nepal, which additionally records the flag's border as green rather than blue at that point, show both the sun and the moon carrying human faces.

According to historical accounts, it was Rana Prime Minister Jung Bahadur who added these faces, using them to symbolize the two ruling houses: the Shah kings as descendants of the lunar dynasty, represented by the moon's face, and the Rana family itself as descendants of the solar dynasty, represented by the sun's face. For roughly a century, the flag doubled as a piece of dynastic messaging as much as a national symbol, and ordinary depictions of it varied enough in shape and detail that "the Nepali flag" was more of a family of similar-looking pennant banners than one fixed design.

It is also worth noting, since it says something about how differently flags were treated at the time, that before the restoration of multiparty democracy in 1990, ordinary Nepali citizens were not permitted to fly the national flag at their own homes. Its use was tightly bound to government and royal authority rather than treated as an everyday expression of national identity, which is part of why standardizing its exact shape became a legal, not just decorative, priority.

1962: Standardizing a Flag People Kept Drawing Wrong

Direct answer: The current version of Nepal's flag, faceless sun and moon, fixed proportions, and an exact geometric construction, was formally adopted on 16 December 1962, alongside Nepal's new constitutional framework of that year.

By the early 1960s, Nepal had a flag with a long pedigree but no single authoritative version. People drew it differently depending on which reference they copied, and the human faces on the sun and moon were seen as outdated for a modern nation-state's official symbol. King Mahendra's government moved to fix both problems at once: modernize the design by removing the faces, and lock down its exact shape so it could no longer drift from one drawing to the next.

That second part is the detail almost every casual retelling skips. The 1962 constitution did not simply publish a picture of the new flag. It devoted an entire section to the precise size and shape of the flag, spelling out the geometry because, in the government's own reasoning at the time, people were drawing the flag inaccurately. That decision, to legislate a construction method rather than just an image, is the single most distinctive fact about Nepal's flag and the one this article keeps coming back to.

Pre-1700s
Triangular war pennants in use across Himalayan hill states, including the single red pennant of the Gorkha Kingdom.
Mid-1700s
Prithvi Narayan Shah unifies Nepal's principalities; the double-pennon design begins to take shape, combining Gorkha and Mustang pennant traditions.
1800s
Historical sketches (Henry Ambrose Oldfield) and later written accounts (Percival Landon, 1928) document a flag with human-faced sun and moon and, at times, a green rather than blue border.
Rana period
Jung Bahadur is credited with adding faces to the sun and moon, symbolically linking them to the Shah and Rana ruling houses.
Before 1990
Ordinary citizens are not permitted to fly the national flag at home; its use is tied closely to state and royal authority.
16 December 1962
The modern, faceless flag is formally adopted, with its exact geometric construction written into the new constitution.
2015
The Constitution of Nepal carries the same flag and the same Schedule 1 construction forward under Article 8.

Who Designed the Nepali Flag?

Direct answer: No single person "invented" Nepal's flag; its double-pennant shape evolved over centuries. What did have a specific author was the exact mathematical construction of the modern flag: civil engineer Shankar Nath Rimal calculated the precise geometric specifications at King Mahendra's request in 1962, and those specifications were written into the constitution.

This distinction matters more than it first appears to. Saying "Rimal designed the Nepali flag" overstates his role, since the double-pennant shape, the crimson field, and the sun-and-moon motif all predate 1962 by a long stretch, rooted in the Shah and Rana-era banners described above. But saying he had nothing to do with it understates a genuinely important contribution: he is the person who worked out how to describe that inherited shape with enough mathematical precision that anyone, anywhere, following the same steps, would arrive at the identical outline.

Rimal was a civil engineer and architect by training, not primarily a flag designer, he also worked on notable Nepali structures including Shahid Gate and the Bhaleshwor Mahadev temple, and was involved in work on Narayanhiti Palace. His specific task in 1962 was translating an existing but inconsistently drawn national symbol into a repeatable geometric procedure. That procedure, not a new picture, is what got written into the constitution and is what every accurately drawn Nepali flag has followed since.

The clean way to hold both facts at once: the historical origin of Nepal's flag is a centuries-long evolution of Himalayan pennant traditions, unified under the Shah dynasty and later modified during the Rana period. The modern technical standardization of that flag, the version flown today, with its exact angles and proportions, has a specific author and a specific year.

What the Colors of Nepal's Flag Mean

Two colors, and only two: crimson for the body of both pennants, deep blue for the border that wraps around them. Both are constitutionally specified, but the depth of their symbolism is not equally well documented, and this is exactly where a lot of Nepal-flag content quietly slides from fact into folklore without telling the reader it happened.

Crimson Red

Crimson is consistently described, across government-adjacent and tourism sources, as representing the bravery of the Nepali people, a fairly standard association for a red field on a national flag, echoed on flags from many other countries. Nepal's crimson is also very commonly linked to the rhododendron, Rhododendron arboreum, locally called laligurans, which is Nepal's national flower and blooms in a deep red across the country's mid-hills each spring. The rhododendron connection is widely repeated and visually plausible, the color match is close, but it should be read as a popular and traditional association rather than a line item explicitly spelled out in the constitutional text itself, which specifies the color as crimson without walking through a botanical justification.

Deep Blue

The blue border is documented, again consistently across sources rather than in one single authoritative sentence in the constitution itself, as representing peace and harmony. It is worth noting that this border was not always blue: the 1928 written account by Percival Landon describes it as green at that point in the flag's history, which is a useful reminder that even elements treated as timeless today, like "the blue border," went through their own changes before 1962 fixed them permanently.

Crimson field Bravery; popularly linked to the rhododendron Deep blue border Peace and harmony (was green before 1962) White emblems Moon and sun, both geometrically built

Simplified color-and-symbol breakdown. The moon and sun icons here are stylized for clarity; their real construction is covered in detail further down this article.

The Moon and Sun on Nepal's Flag

The two white emblems are the part most people can picture instantly and understand least. Both are more geometrically specific than they look, and both carry layered, sometimes competing, explanations for what they are supposed to represent.

The Moon: More Than Just a Crescent

Direct answer: The white emblem on Nepal's upper pennant is a crescent moon showing eight rays visible out of a full set of sixteen, constructed geometrically from arcs and triangles rather than drawn freehand.

The moon sits inside the upper, smaller pennant. Its shape is not a simple drawn crescent; the constitutional construction builds it from semicircles and arcs centered on specific reference points (discussed in full in the geometry section below), then fills the resulting crescent-shaped band with eight equal triangular rays, out of a full theoretical set of sixteen, alternating so that eight remain visible in the final emblem. It is white, matching the sun, against the crimson field.

What it is commonly understood to represent varies by source, and it is worth being upfront about that variation rather than picking one explanation and presenting it as settled: some accounts describe the moon and sun together as symbols of permanence and longevity, the idea that the nation will endure as long as the sun and moon exist. Others describe a geographic pairing, with the moon representing the cool climate of Nepal's Himalayan north and the sun the heat of the Terai lowlands to the south. Others still, including the CIA's World Factbook, connect the two emblems to Nepal's two major religious traditions, Hinduism and Buddhism. None of these is inscribed in the constitutional text itself, which specifies the moon's geometry but not a single official meaning, so all three are best treated as documented cultural interpretations rather than one government-sanctioned answer.

The Sun: Why Does It Have Rays?

Direct answer: The sun on Nepal's lower pennant has twelve triangular rays, built from two concentric circles with the ray apexes touching a shared construction line, the same category of precise geometric construction used for the moon.

The sun occupies the lower, larger pennant. Unlike the moon, there is no visibility fraction to account for, twelve rays is the full and final count, all pointing outward in an even radial pattern between two concentric circles whose radii are themselves derived from earlier points in the construction sequence. It is drawn white, the same as the moon.

Historically, before the 1962 standardization, the sun (like the moon) carried a human face, tied by Rana-era symbolism to the solar dynasty the Rana family claimed descent from. That face was removed in the modernization process, leaving the geometric rayed disc seen today. Its popularly cited meanings track the same three explanations already noted for the moon: permanence, geography (heat and the lowlands), or religious symbolism, again without a single official constitutional statement settling which one is "correct."

The Two Pennants and Their Meaning

This is the section where a genuinely popular claim needs to be handled with real care, because it is repeated constantly and rarely checked: that Nepal's two triangles represent Hinduism and Buddhism.

That specific claim shows up widely online, and versions of a religious reading do appear in at least one notable reference source for the celestial emblems (again, the World Factbook's Hinduism-and-Buddhism gloss on the sun and moon). But a direct, sourced statement that the two pennants themselves, as geometric shapes, were designed to represent the two religions specifically is not something this article was able to verify against the constitutional text or against primary historical accounts of the 1962 standardization. The more defensible account of the two pennants is a structural, historical one: two pennants because two separate flag traditions, roughly speaking the Gorkha Kingdom's banner and the Mustang Kingdom's flag, were combined into one when Nepal unified, not because someone sat down and assigned one triangle to each religion.

The honest position, and the one this article takes throughout, is to hold the two ideas apart rather than merge them: the sun-and-moon-as-religions reading has some documented backing at the level of popular and reference-source interpretation. The two-pennants-as-religions reading is a step further than the available sourcing supports. Treating both claims as equally solid would be the kind of unearned certainty this topic does not need.

The Part Most People Never Notice: Nepal's Flag Is a Math Problem

Here is a question worth sitting with for a second: if you wanted to draw Nepal's flag accurately, without tracing an existing picture, where would you even begin? A rectangle gives you an easy answer, pick a width, pick a height, done. Nepal's flag does not give you that shortcut, because there is no simple width-to-height ratio that defines an irregular pentagon. You need a method: a sequence of construction steps that starts from nothing and ends at the exact right shape, every time, for anyone who follows it.

That is exactly what Schedule 1 of Nepal's Constitution provides. Not a picture. Not a description in prose. A construction method, the same basic idea as a compass-and-straightedge proof in a geometry class: draw this line, find its midpoint, drop a perpendicular, mark where two lines cross, swing an arc from that point, and so on, until the final shape appears as the last, inevitable step of everything before it.

The Constitution as a Drawing Algorithm

Not literally computer code, but conceptually identical to one: a fixed sequence where each step depends only on the results of the steps before it. Start here, measure this, draw this line, mark this point, construct this curve, repeat, until the finished flag falls out the other end.

ConstitutionSchedule 1, Article 8
Geometric instructionsLines, perpendiculars, bisections
Reference pointsLettered points A through W
CurvesArcs and circles for moon and sun
Emblems + borderRays placed, blue border added
Finished flagSame shape, every time

The reference points in the real construction are not decorative letters. They are load-bearing: point C only exists because of point A and B, point H only exists because of A and B, and the moon's arcs only exist because of points that were themselves built from earlier points. Change any early measurement even slightly and every later step, and the final outline, shifts with it. That interdependence is exactly why casually "eyeballing" the flag from a photo, instead of following the actual construction, is so easy to get subtly wrong, and why the Constitution bothers spelling out the sequence at all.

How Nepal's Constitution Defines the Flag

Direct answer: Article 8 of the 2015 Constitution of Nepal designates the national flag, and Schedule 1 sets out its complete legal construction: a step-by-step geometric method using lines, perpendiculars, bisected segments, and arcs that produces the crimson pennants, the crescent moon, the twelve-rayed sun, and the blue border, in that order.

What follows is an accessible, plain-language walk-through of the shape of that method, not a substitute for it. Schedule 1 itself is longer and more granular than any short article can usefully narrate in prose, with more intermediate points than are worth naming here. For anything that needs to be legally exact, a flag manufacturer's template, an official reproduction, a classroom exercise graded for precision, Schedule 1 itself, via the Nepal Law Commission, is the only authority that should be used.

1
Draw the baselineA horizontal line, call it AB, sets the flag's basic width unit. Every later measurement in the construction is expressed as a fraction or multiple of this single line.
2
Build the vertical referenceA perpendicular line rises from one end of AB, extended to a length of AB plus one third of AB. This fixes the overall height of the crimson field at a clean 4:3 ratio to its width, before the border is ever added.
3
Establish the upper pennantFurther points are marked by taking equal lengths of AB along the vertical line and drawing lines parallel to AB through them, boxing in the smaller, upper triangular pennant that will eventually hold the moon.
4
Establish the lower pennantThe same logic continues down the vertical reference line, this time boxing in the larger, lower triangular pennant that will hold the sun. Together the two pennants, sharing the same hoist edge, form the flag's signature irregular pentagon.
5
Construct the moonA dense cluster of bisected lines and parallels inside the upper pennant produces several new reference points. Semicircles and arcs drawn from these points carve out a crescent, and eight equal triangular rays are marked in the band between the semicircle and the arc, visible against the crimson field as the moon's points.
6
Construct the sunA separate bisected line inside the lower pennant fixes the sun's center point. Two concentric circles are drawn from that center, and twelve equal triangular rays are marked in the ring between them, their outer tips touching a shared construction line.
7
Add the blue borderA border of deep blue, with a width fixed by an earlier measurement taken during the moon's construction, is added uniformly around the entire five-sided crimson outline, on the hoist edge as well as the pennant tips.
8
The finished flagNone of the construction lines, arcs, or lettered points appear on the actual flag. They exist only to generate the outline, the crescent, and the sun. What is left, after every guide line is erased, is the flag everyone recognizes.
Photograph of Nepal's national flag on a flagpole, showing the two stacked crimson pennants edged in deep blue, the white crescent moon on the smaller upper pennant, and the white twelve-rayed sun on the larger lower pennant

Nepal's actual flag: two crimson pennants stacked vertically and edged in deep blue, sharing one straight edge at the hoist (flagpole side). The smaller upper pennant carries a white crescent moon (eight of sixteen rays visible); the larger lower pennant carries a white twelve-rayed sun. Neither the tip angles, the small notch where the two pennants meet, nor the border width are drawn freehand, they are the output of the step-by-step construction set out in Schedule 1 of the Constitution, walked through below.

Understanding the Flag's Unusual Proportions

Direct answer: The crimson field alone, without the border, has a clean, rational 3:4 width-to-height ratio. Once the constitutionally specified blue border is added around the irregular pentagon, the overall flag's height-to-width ratio becomes an irrational number, approximately 1:1.21901033782945218..., that cannot be written as a simple fraction.

Most articles that mention a ratio for Nepal's flag round it down to something tidy, "roughly 4:3," and leave it there. That is not wrong as a rough approximation, but it skips the actual mathematical story, which is more interesting than a tidy fraction.

The crimson field by itself, the two pennants without any border, does have a clean rational ratio: 3 units wide to 4 units tall, exactly the 4:3 relationship set up in the construction's second step. If the flag ended there, "4:3" would be the complete and correct answer.

But the flag does not end there. The blue border, uniform in width, gets added around the outside of an irregular, five-sided shape, not a rectangle. Adding a uniform-width border to a non-rectangular outline changes the overall bounding box's proportions in a way that a simple fraction cannot capture, because the border's contribution to the total width and the total height depends on the specific angles of the pennants' slanted edges, not just their lengths. When mathematicians worked through the full construction algebraically, the result is a quartic equation, an equation whose highest power is four, and the flag's exact ratio is the smallest positive root of that equation: approximately 1.21901033782945218..., an irrational, non-repeating decimal. This value is catalogued in the Online Encyclopedia of Integer Sequences as sequence A230582, described there specifically as the height-to-width ratio of the bounding rectangle of Nepal's national flag as defined by its constitutional construction.

In plain terms: Nepal's flag is very likely the only national flag on Earth whose exact proportions are an irrational number rather than a clean ratio like 2:3 or 1:2. That is a genuinely unusual mathematical property for an object every Nepali citizen sees on a near-daily basis.

Ordinary rectangular flag

Ratio is a simple fraction, such as 2:3. Resize it and every edge scales together automatically.

Nepal's flag

Ratio is an irrational number derived from a quartic equation. The outline is five straight sides, not a simple box.

The Mathematics, in One Table

Mathematical featureWhat it does in the construction
Straight linesEstablish the initial reference geometry, starting from a single baseline
Perpendicular linesEstablish the vertical relationship that fixes the crimson field's 3:4 ratio
Bisected segments and parallelsTransfer measurements from earlier lines to new reference points without needing new independent measurements
TrianglesCreate the two pennants, and the twelve rays of the sun and eight visible rays of the moon
Circles and arcsConstruct the crescent moon and the sun's two concentric rings
Uniform-width borderAdded last, around the full irregular outline, producing the final irrational overall ratio

Every figure in this table and the preceding section is traceable either to Schedule 1's construction method directly, or to the OEIS-catalogued numerical derivation of that construction (sequence A230582). No dimension here has been invented for effect.

Nepal's Flag Compared With Other National Flags

The point of comparing flags here is not to build a small encyclopedia of world flags. It is to answer one specific question: exactly how far outside the norm does Nepal's shape sit?

CountryGeneral outer shapeDistinctive feature
NepalIrregular pentagon (double pennant), non-quadrilateralTwo stacked pennants; only irrational-ratio national flag
SwitzerlandSquare (still a quadrilateral)White cross on red
Vatican CitySquare (still a quadrilateral)Two vertical fields plus coat of arms
United StatesRectangleStars and stripes
JapanRectangleRed disc, centered
BangladeshRectangleRed disc, offset toward the hoist

The distinction that actually matters, repeated here because it is the single most misreported fact about this flag online, is non-quadrilateral versus merely non-rectangular. Switzerland and Vatican City break the "rectangle" assumption but not the "four sides" assumption. Nepal breaks both.

Why Didn't Nepal Use a Rectangle?

There is no single, clean, documented reason Nepal specifically rejected a rectangular flag, and this article is not going to invent one. What the historical record supports is a story of preservation rather than deliberate rejection: Nepal already had a centuries-old pennant tradition, tied to the Gorkha and Mustang kingdoms, by the time rectangular flags became the global default for nation-states in the 19th and 20th centuries. Standardizing that existing pennant shape in 1962, rather than replacing it with a rectangle to match international convention, kept an already-established visual identity intact instead of discarding it for the sake of uniformity. That is a reasonable, historically grounded account. Framing it any more strongly, such as claiming Nepal actively "refused" rectangles as a statement, goes beyond what the historical record actually documents.

Why the Shape Is Important Today

An unusual constitutional shape is not just a historical curiosity. It creates ongoing, practical friction almost every time the flag needs to appear somewhere designed with rectangles in mind, which, in the modern world, is most places.

Printing and manufacturing templates, digital flag icon sets, country-code emoji-style flag graphics, online flag databases, and even merchandise all default to rectangular canvases. Nepal's flag routinely gets squeezed, stretched, or placed on a white rectangular background to fit software and hardware built around a four-sided assumption, which is exactly the kind of careless handling that produces the distorted, slightly-wrong versions seen occasionally in print and online.

The clearest real-world example of this friction played out on the Olympic stage. Olympic ceremony protocol traditionally called for every competing nation's flag to be a rectangle at a standard 2:3 ratio, for visual uniformity across the parade of nations. Nepal's flag does not fit that mold, and for years the practical workaround, seen as recently as the 2016 Rio Olympics, was printing Nepal's flag onto a white rectangular backing so it could still be mounted like every other country's flag. That changed at the 2020 Tokyo Olympics, when Nepal reportedly became the only exception to the standard flag-size requirement, with organizers instead matching Nepal's flag to the height of other nations' flags rather than forcing it into the same rectangular footprint.

The flag's precision requirements have also caused visible controversy domestically. In 2018, during a visit to Janakpur by Indian Prime Minister Narendra Modi, a flag flown with an incorrect shape, including a noticeably thicker blue border than specified, drew public criticism precisely because the error was so easy for ordinary Nepalis to spot. Ted Kaye, secretary of the North American Vexillological Association, has described Nepal's flag in blunt terms that capture why: "It's the nerdiest mathematical flag that is out there." Getting it slightly wrong is unusually easy, and unusually noticeable, for exactly that reason.

How to Draw the Nepal Flag Correctly

There is a real gap between three different levels of "knowing how to draw Nepal's flag," and being clear about which level you are working at avoids a common mistake: treating a simplified sketch as if it were legally exact.

Beginner version: understand the overall structure first. Two triangular pennants stacked vertically, sharing a straight hoist edge, a small notch where the upper pennant's lower edge meets the lower pennant's upper edge, a crescent moon in the upper pennant, a twelve-rayed sun in the lower one, and a blue border around the whole outline. Getting this structure right, even freehand, avoids the single most common error: drawing a rectangle with a triangle cut out of it, which is not the same shape as Nepal's flag at all.

Accurate version: once the structure is understood, tracing a downloaded image is not a reliable path to an accurate flag, because compressed, resized, or already-slightly-wrong reference images propagate their own errors. A ruler-and-compass approach, following the actual sequence of construction steps rather than eyeballing proportions from a picture, produces a genuinely accurate result the same way following a geometry proof produces a genuinely correct answer.

Constitutional version: for any use where legal exactness matters, official reproductions, government publications, manufacturing templates, the only authoritative source is Schedule 1 of the Constitution of Nepal itself, via the Nepal Law Commission. A simplified summary, including the one in this article, is a teaching aid for understanding the shape of the method. It is not a substitute for the legal text when precision is actually required.

Common Mistakes When Drawing the Nepal Flag

Mistake

Drawing a rectangle with a triangular notch cut from one side, instead of two genuinely separate pennants sharing a hoist edge.

Correct

Two distinct triangular pennants, one smaller (moon) above one larger (sun), joined only along the straight hoist edge.

Mistake

Making the blue border too thick or too thin relative to the pennants, the exact error criticized in the 2018 Janakpur incident.

Correct

Border width is fixed by the construction itself (derived from the moon-construction measurement), not chosen freehand.

Mistake

Giving the moon or sun the wrong ray count, or spacing rays unevenly.

Correct

Exactly eight visible moon rays (of sixteen) and exactly twelve evenly spaced sun rays.

Mistake

Stretching or squashing a downloaded image to fit a rectangular template or slide layout.

Correct

Preserve the flag's own bounding-box ratio; if a rectangular frame is unavoidable, pad around the flag rather than distorting it.

Mistake

Placing the moon or sun too high, too low, or off-center within their pennants.

Correct

Both emblems sit at fixed positions derived directly from the construction's reference points, not by eye.

Mistake

Using a bright or orange-leaning red instead of true crimson, or a bright royal blue instead of deep blue.

Correct

Crimson field, deep (navy-leaning) blue border, as specified.

You Probably Never Noticed This

A few details about the flag tend to survive even a fairly close look, simply because nobody goes looking for them:

The two pennants are not mirror images of each other. The lower one, holding the sun, is deliberately larger than the upper one, holding the moon.
The blue border is not a flat design choice added after the fact. Its width is mathematically derived from an earlier measurement taken during the moon's own construction.
Before 1962, both the sun and the moon had human faces, tied to the Rana and Shah ruling houses. Neither emblem has had a face for over six decades.
The border used to be green, not blue, according to a written account from 1928. The now-familiar deep blue is a later, standardized choice.
Before Nepal's 1990 return to multiparty democracy, ordinary citizens were not permitted to fly the national flag at home.
The overall flag is taller than it is wide, the reverse of most rectangular flags, which are typically wider than tall.
A mathematically accurate Nepal flag cannot simply be resized by stretching a rectangle. Every construction point has to scale together, in proportion, or the shape distorts.

Official Fact vs. Popular Interpretation

This table exists because so much online content about Nepal's flag blurs the line between what is documented and what is repeated. Being explicit about that line is, frankly, more useful than another paragraph of confident-sounding trivia.

ClaimStatus
The flag's shape and construction are set out in the Constitution (Schedule 1)Official, verified against the constitutional text
The moon shows eight of sixteen rays; the sun has twelve raysOfficial, verified against the constitutional construction
The overall ratio is irrational, approximately 1:1.219Verified via independent mathematical derivation (OEIS A230582)
Crimson represents bravery; blue represents peace
Red is linked to the rhododendron, Nepal's national flower
Sun and moon represent Hinduism and Buddhism
The two triangles/pennants specifically represent Hinduism and BuddhismCould not be verified against primary sources; more likely explained by the historical merger of two separate pennant traditions
Before 1962, the sun and moon had human facesDocumented in historical accounts and imagery predating the 1962 standardization

Nepal's Flag Through Modern History

What is genuinely notable about this flag is not any single event in its past, but how much political upheaval it has quietly sat through unchanged. The same double-pennant shape flew over the Shah monarchy, through the Rana period's dynastic reworking of its symbols, past the 1962 standardization under King Mahendra, through the People's Movement that restored multiparty democracy in 1990, through Nepal's decade-long insurgency, past the monarchy's abolition in 2008 when Nepal became a federal republic, and into the 2015 Constitution that carries the same Schedule 1 construction forward under Article 8 today.

That continuity was not automatic. In May 2008, around the time the monarchy was abolished, various political parties raised the question of whether the flag's design, tied as it was to monarchical and Hindu symbolism in the popular imagination, should change along with the state's political structure. The proposal to alter the flag was ultimately rejected, and the same pennant shape that flew over the kingdom kept flying over the republic. What changed, in other words, was almost everything about how Nepal governed itself. What did not change was the shape of the cloth flown above it.

Flag Facts Worth Knowing

Nepal's flag is the world's only current national flag that is not a quadrilateral.
Its exact construction is specified in Schedule 1 of the Constitution, under Article 8.
The modern, faceless design was formally adopted on 16 December 1962.
Civil engineer Shankar Nath Rimal calculated its mathematical specifications at King Mahendra's request.
The crimson field alone has a rational 3:4 ratio; the complete bordered flag does not.
The full flag's height-to-width ratio is an irrational number, roughly 1:1.219, the root of a quartic equation.
The moon shows eight of a possible sixteen rays; the sun has twelve.
Before 1962, both celestial emblems had human faces linked to the Shah and Rana dynasties.
The flag's outline is an irregular pentagon: five straight sides, not four.
At the 2020 Tokyo Olympics, Nepal reportedly became the only nation exempted from the standard rectangular flag-size rule.
The flag survived the end of the Nepali monarchy in 2008 unchanged, after a 2008 proposal to redesign it was rejected.
Vexillologist Ted Kaye has called it "the nerdiest mathematical flag that is out there."

Frequently Asked Questions

Why is Nepal's flag not rectangular?
Nepal's flag preserves a much older double-pennant tradition, combining pennant shapes historically associated with the Gorkha and Mustang kingdoms, that predates the 19th- and 20th-century global convention of rectangular national flags. Rather than replacing that inherited shape with a rectangle for the sake of international uniformity, Nepal standardized its existing pennant outline in 1962 and wrote its exact geometry into the constitution.
Is Nepal's flag the only non-rectangular national flag?
More precisely, it is the only non-quadrilateral national flag currently in use. Other unusual flags, like Switzerland's or Vatican City's, are squares rather than rectangles, but squares are still four-sided shapes. Nepal's flag has five sides, an irregular pentagon, which is a fundamentally different category of shape.
What do the colors of Nepal's flag mean?
Crimson represents the bravery of the Nepali people and is popularly associated with the rhododendron, Nepal's national flower. The deep blue border represents peace and harmony. Both associations are consistently documented across sources, though the constitutional text itself specifies the colors without spelling out a symbolic justification.
What does the moon represent on Nepal's flag?
There is no single official answer. Documented interpretations include permanence and longevity, the cool climate of the Himalayan north (paired with the sun representing the warmer south), and, in some reference sources, a connection to Buddhism paired with the sun representing Hinduism. All three are cultural interpretations rather than a single constitutionally stated meaning.
What does the sun represent on Nepal's flag?
The same range of interpretations applies to the sun as to the moon: permanence, the heat of Nepal's southern lowlands, or, in some sources, a link to Hinduism. Historically, before 1962, the sun carried a human face tied to the Rana family's claimed solar-dynasty descent; that face was removed during modernization.
Why are there two triangles on Nepal's flag?
The two pennants trace back to two separate historical flag traditions, generally associated with the Gorkha and Mustang kingdoms, that were combined when Nepal unified under the Shah dynasty. A popular claim that the two triangles specifically represent Hinduism and Buddhism could not be verified against primary sources and is best treated as unconfirmed.
How many rays does the sun have on Nepal's flag?
Twelve, evenly spaced, constructed from two concentric circles as specified in Schedule 1 of the Constitution.
How many rays does the moon have?
The moon's construction is based on a full set of sixteen rays, of which eight are visible in the finished crescent emblem.
Who designed Nepal's flag?
No single person designed it from scratch; its double-pennant shape evolved over centuries from Himalayan pennant traditions. The exact modern construction was calculated by civil engineer Shankar Nath Rimal in 1962, at King Mahendra's request, and that construction was written into Nepal's constitution.
When was Nepal's current flag adopted?
The modern, standardized, faceless version of the flag was formally adopted on 16 December 1962, alongside Nepal's constitution of that year. The same design and construction were carried forward into the 2015 Constitution under Article 8.
Why is Nepal's flag mathematically constructed?
Because its irregular, non-quadrilateral outline cannot be described with a simple width-to-height ratio the way a rectangle can. Before 1962, people drew the flag inconsistently; the government responded by legislating an exact geometric construction method rather than just an image, so the shape could no longer drift between different reproductions.
What does Nepal's Constitution say about the flag?
Article 8 of the 2015 Constitution designates the national flag, and Schedule 1 sets out its complete construction: a sequence of lines, perpendiculars, bisected segments, and arcs that produces the pennants, the crescent moon, the twelve-rayed sun, and the blue border.
What is the shape of Nepal's flag called?
Geometrically, it is an irregular pentagon, formed by two triangular pennants stacked vertically and joined along a shared hoist edge. It is commonly described in everyday language as a "double pennant" flag.
Why is the Nepal flag difficult to reproduce accurately?
Because its shape depends on a chain of interdependent construction points rather than a simple ratio. A small error early in the construction, or in a freehand copy of a photo, propagates into the moon, the sun, and the border, which is why incorrectly proportioned versions, such as the flag flown during a 2018 Janakpur visit by India's Prime Minister, are relatively easy to spot.
What is the ratio of Nepal's flag?
The crimson field alone is a rational 3:4 (width to height). The complete flag, including the blue border, has an irrational height-to-width ratio of approximately 1:1.21901033782945218, the smallest root of a quartic equation, catalogued as OEIS sequence A230582.
Can Nepal's flag be drawn with a ruler and compass?
Yes. Its entire construction, lines, perpendiculars, bisected segments, and arcs, uses only classical straightedge-and-compass techniques, the same toolkit taught in basic geometry classes.
What does the blue border mean?
The deep blue border is documented as representing peace and harmony. Its width is not an arbitrary design choice; it is mathematically derived from a measurement taken earlier in the flag's constitutional construction, during the moon's geometry.
Why is the flag red?
Crimson is documented as representing the bravery of the Nepali people, and is popularly associated with the rhododendron, Nepal's national flower, which blooms in a similar deep red across the country's hills each spring.
What is unique about the Nepal flag?
It is the world's only current non-quadrilateral national flag, the only one with a constitutionally mandated geometric construction method rather than a simple description, and, as a result of that construction, likely the only national flag with an irrational overall aspect ratio.
How is Nepal's flag different from other national flags?
Almost every other national flag, rectangular or square, is a quadrilateral with a straightforward width-to-height ratio. Nepal's flag is a five-sided irregular pentagon whose exact shape can only be produced by following a specific sequence of geometric construction steps, making it a mathematical outlier as much as a visual one.

Final Thoughts

What first looks like a simple red flag with two points turns out to hold centuries of history, layered and sometimes contested symbolism, and a genuinely sophisticated piece of geometry, all folded into one small piece of cloth. Nepal did not stumble into a strange-looking flag by accident. It preserved a distinctive visual tradition through unification, dynastic change, and modernization, and then, in 1962, took the unusual step of defining that tradition's exact shape as a mathematical construction inside its own constitution.

That last part is what makes this flag worth a second look, and a third. Most countries chose a rectangle and moved on. Nepal kept its double pennant, wrote down exactly how to build it, and ended up with a national symbol whose precise proportions are, provably, irrational. Few flags reward a closer look with an actual geometry lesson. This one does.