Non-Rectangular Flags: Nepal & Switzerland

Only 3 countries have non-standard flag shapes: Nepal (double pennon — the world's only non-rectangular flag), Switzerland (square), and Vatican City (square).

Nepal is the only country with a non-rectangular flag — two stacked triangles. Switzerland and Vatican City have square flags. Discover the world's unusual flag shapes.

Non-Rectangular National Flags

• Nepal: Double pennon (two stacked triangles) — the ONLY non-rectangular national flag in the world
• Switzerland: Square flag (1:1 ratio) — one of only two square sovereign flags
• Vatican City: Square flag (1:1 ratio) — the other square sovereign flag

Nepal's Unique Flag

Nepal's flag consists of two stacked triangular pennons, symbolizing the Himalayan mountains and the two major religions (Hinduism and Buddhism). The upper triangle contains a white moon with eight rays, symbolizing calm and the hope that Nepal will endure as long as the moon. The lower triangle contains a white twelve-pointed sun, representing the fierce resolve of the Nepalese people. The crimson red represents the rhododendron (Nepal's national flower) and bravery, while the blue border represents peace and harmony. Nepal's constitution includes detailed geometric instructions for constructing the flag using a compass and straightedge — it is the only national flag defined by a mathematical construction.

Square Flags: Switzerland and Vatican City

Switzerland and Vatican City are the only two sovereign states with square (1:1 ratio) flags. Switzerland's red flag with a white cross dates to the medieval Swiss Confederacy and was officially adopted in 1841. The Red Cross symbol is the Swiss flag with inverted colors, honoring Henri Dunant's Swiss nationality. Vatican City's flag, adopted in 1929, features yellow and white vertical halves with the papal coat of arms (crossed keys of St. Peter and the papal tiara). When Swiss or Vatican flags are flown alongside standard rectangular flags, the square shape makes them immediately distinctive.

Other Non-Standard Flag Shapes

• Ohio (US state): Burgee (swallowtail) shape — the only non-rectangular US state flag
• Many historical flags: Medieval pennants, gonfalons, and streamers used various non-rectangular shapes
• Maritime signal flags: Include triangular, square, and burgee shapes for communication at sea
• Guidons: Military unit flags are often swallowtail or triangular

Key Facts

• Nepal has the world's only non-rectangular national flag.
• Switzerland and Vatican City are the only sovereign states with square flags.
• Nepal's flag is mathematically defined in its constitution with geometric construction instructions.
• The standard flag aspect ratio for most countries is 2:3 or 3:5.
• Ohio is the only US state with a non-rectangular flag (burgee shape).

Fun Facts

• Nepal's flag construction method requires exactly 13 steps using a compass and straightedge — it is specified in the country's constitution.
• When Switzerland sends troops to international missions, their flag stands out as the only square flag among rectangles.
• The Red Cross and Swiss flag relationship is intentional — the Red Cross symbol is literally the Swiss flag with inverted colors.
• Before the 19th century, many flags were non-rectangular (pennants, streamers, gonfalons), making Nepal's flag a survival of older traditions.

Final Thoughts

Non-rectangular flags are extreme rarities in the modern world. Nepal's double-pennon stands alone as the only non-rectangular national flag, while Switzerland and Vatican City maintain their distinctive square shapes. These unique shapes set these nations apart in any collection of world flags.