Brieskorn–Phạm manifold: a term for a mathematical object defined as the intersection of a small sphere around the origin with a complex hypersurface with singularities, essentially creating a "knot-like" structure in higher dimensions. Brieskorn-Phạm manifolds are important in the study of topology, particularly in the field of exotic spheres, as they can provide examples of smooth manifolds that are topologically equivalent to a standard sphere but have different differential structures. The term was first introduced in 1966 and was further studied and perfected by Vietnamese mathematician Frédéric Phạm.[1]
Circular law conjecture in random matrix theory: a conjecture, established by Terence Tao and Vietnamese mathematician Vũ Hà Văn, asserts that for large random matrices with i.i.d. entries of zero mean and unit variance, the scaled eigenvalues asymptotically follow a uniform distribution over the unit disk in the complex plane, regardless of the specific distribution of the matrix entries.[2]
Inverse Littlewood-Offord theorem: a result in additive combinatorics that addresses the structure of sets that exhibit concentration of linear combinations of elements. It builds on the classical Littlewood-Offord theorem, which estimates the probability that a random sum of weighted vectors lands in a small region. The theory was developed by Vietnamese mathematician Vũ Hà Văn and Terence Tao.[3]
Visual illustration of the Phong equation.Phong reflection model: an empirical model of the local illumination of points on a surface designed by the computer graphics researcher Bui Tuong Phong, who published it in his 1975 Ph.D. dissertation.[4][5] It was published in conjunction with a method for interpolating the calculation for each individual pixel that is rasterized from a polygonal surface model; the interpolation technique is known as Phong shading, even when it is used with a reflection model other than Phong's. Phong's methods have proven popular due to their generally efficient use of computation time per rendered pixel.
Proof of Ore's conjecture: As the commutator subgroup is generated by commutators, a perfect group may contain elements that are products of commutators but not themselves commutators. Øystein Ore proved in 1951 that the alternating groups on five or more elements contained only commutators, and conjectured that this was so for all the finite non-abelian simple groups. Ore's conjecture was finally proven in 2008 by Vietnamese mathematician Phạm Hữu Tiệp and colleagues.[10][11]
The Erdos-Folkman problem: Vietnamese mathematician Vũ Hà Văn solved the Erdos-Folkman problem in 2003, answering the following question in number theory: How dense should a set of positive integers be so that every sufficiently large integer can be represented as a subsum?
Thermobaric Weapon Development: Vietnamese-American scientist Dương Nguyệt Ánh is credited with developing the thermobaric weapon, a powerful non-nuclear bomb used extensively by the U.S. military in Afghanistan. This weapon utilizes oxygen from the surrounding environment to create a high-temperature explosion, increasing its effectiveness.
Hàng Trống painting: a genre of Vietnamesewoodcut painting that originated from the area of Hàng Trống (vi) and Hàng Nón streets in the Old Quarter of Hanoi, Vietnam. In the past, Hàng Trống painting was an essential element of the Tết Nguyên Đán holiday in Hanoi, but today this tradition almost has disappeared and authentic Hàng Trống paintings are found only in museums or fine art galleries. However, the art of making Hàng Trống paintings is always considered a symbol of traditional culture and aesthetic value of Vietnam.
Tò He: a traditional toy for children made from glutinous rice powder in form of edible figurine such as animals, flowers or characters in folk stories.
Cải lương: a form of modern folk opera that blends southern Vietnamese folk songs, classical music, hát tuồng (a classical theatre form based on Chinese opera), and modern spoken drama. It originated in Southern Vietnam in the early 20th century and blossomed in the 1930s as a theatre of the middle class during the country's French colonial period. Cải lương is now promoted as a national theatrical form. Unlike the other folk forms, it continued to prove popular with the masses as late as the 1970s and the 1980s, although it is now in decline.[13][14]
A performance in the Thăng Long water puppet theatre in Hanoi.Chèo: a form of generally satirical musical theatre, often encompassing dance, traditionally performed by Vietnamesepeasants in northern Vietnam. It is usually performed outdoors by semi-amateur touring groups, stereo-typically in a village square or the courtyard of a public building, although it is today increasingly also performed indoors and by professional performers. Chèo has been a popular art form of the Vietnamese people for many generations and has fostered the national spirit through its lyrical content.
Chú Tễu: a typical puppet in Vietnamese water puppetry. Tễu is bigger than other puppets. This character usually introduces the performance and makes humorous actions for the audience.
Hát tuồng: a form of Vietnamese theatre. Hát tuồng is often referred to as classical "Vietnamese opera" influenced by Chinese opera. However, the first one to lay the foundation for the art of tuồng in Vietnam is Dao Duy Tu.[15] Under the Nguyen dynasty which he served for, tuồng reached its highest point and was favored by Nguyen kings. Many great playwrights including Đào Tấn were also in this time.
Water puppetry: (Vietnamese: Múa rối nước) a tradition that dates back as far as the 11th century, when it originated in the villages of the Red River Delta, in the north of the country. Vietnamese water puppetry is a variation on the ancient Asian puppet tradition.
Food
Bánh Chưng: a traditional Vietnamese food made from glutinous rice, mung beans, pork and other ingredients. Considered an essential element of the family altar on the occasion of Tết, the making and eating of bánh chưng during this time is a well-preserved tradition of Vietnamese people.
Bún bò Huế: a Vietnamese rice noodle (bún) dish with sliced beef (bò), chả lụa, and sometimes pork knuckles. The dish originated from the city of Huế in central Vietnam in the late 1500s and early 1600s, when the city was ruled by the Nguyễn Lords.[16][17] In its native city Huế, bún bò is typically served only in the mornings as a main meal rather than a breakfast item. However, in other major Vietnamese cities, it can be found at various meal times.[18][19]
Vietnamese spring rolls, or gỏi cuốn.Bún chả: a dish consisting of charcoal roasted pork served in a sweet/salty soup with rice noodle vermicelli and lettuce. Bún chả originated from and remains very popular in Hanoi and throughout Vietnam.
Chả cá Lã Vọng: a Vietnamese grilled fish dish, originally from the capital Hanoi. The dish is traditionally made with hemibagrus (or cá lăng in Vietnamese), which is a genus of catfish. The fish is cut into pieces and marinated in a turmeric-based sauce, which often includes shrimp paste or fish sauce, ginger, and chili peppers. The dish is served in a hot pan coated with marinade sauce and herbs, particularly dill. Other herbs, such as scallions or basil, may be included. It is eaten with vermicellirice noodles (bún in Vietnamese) and peanuts. Chả cá Lã Vọng is considered a delicacy in Vietnam, as it is nearly exclusively served in restaurants and is not found in street food.
Gỏi Cuốn: a Vietnamese dish traditionally consisting of pork, prawn, vegetables, bún (rice vermicelli), and other ingredients wrapped in bánh tráng (commonly known as rice paper or cold roll). In the West, these rolls are called by several different English names, including "salad roll", "spring roll" and "summer roll." Sometimes the word "Vietnamese" is added at the beginning of these words; for example, in Hong Kong, they are called "Vietnamese rolls", and in Australia and the United States they may be called "Vietnamese spring rolls."
A bowl of beef phở. Nem chua: a fermented pork meat dish served as is or fried, coated by fried rice (thính gạo), mixed with pork skin and then wrapped in country gooseberry leaves (lá chùm ruột) or Erythrina orientalis leaves (lá vông nem).
Phở: a Vietnamese soup dish consisting of broth, rice noodles (bánh phở), herbs, and meat (usually beef (phở bò)), sometimes chicken (phở gà). Originating from Van Cu, Nam Dinh province, the dish is traditionally served with a variety of herbs to enhance its flavor.[20][21] Nowadays, there are many different ways to prepare and flavor phở.[22][23] In Vietnam, there are different names to distinguish them: Northern phở (in the North), Huế phở (in the Central region), and Saigon phở (in the South).[24][25][26]
Sriracha Sauce: the Huy Fong sriracha chili sauce produced by Huy Fong Foods was created by Vietnamese entrepreneur David Tran in 1980.[27] The primary ingredients are peppers, garlic, and sugar. It was originally made with Serrano peppers and is now made with red Jalapeño peppers, reducing the overall pungency.
Bro, a traditional musical instrument of the Bahnar, Sedang, Rhađe, Jarai, and Giẻ Xtiêng peoples of the Central Vietnam Highlands. It is a tube zither.
Vovinam demonstration in France, 2014.Vovinam: a Vietnamese martial art founded by Nguyễn Lộc in 1938 with the intent of providing practitioners with an efficient method of self-defense after a short period of study. Nguyễn believed martial arts would contribute to freeing Vietnam from French colonial rule and from foreign invasions. Vovinam added elements of Chinese and Japanese systems to traditional Vietnamese martial arts systems, which were partially created as a response to the French occupation and to promote a sense of national identity for the Vietnamese people.[28][29] Hence, it is similar to Korean taekwondo in that it is an eclectic system with combined elements of Japanese and Chinese martial arts within an indigenous framework.[30]
Technology
A Chinese handcannon dated to 1424 with the flash pan adopted from Vietnamese handcannons after the Ming invasion of Vietnam in 1407
ATM: the co-inventor of the ATM is Vietnamese-born inventor Do Duc Cuong.[31]
Biological pest control: The first report of the use of an insect species to control an insect pest comes from "Nan Fang Cao Mu Zhuang" (南方草木狀 Plants of the Southern Regions) (c. 304 AD), attributed to Western Jin dynasty botanist Ji Han (嵇含, 263–307), in which it is mentioned that "Jiaozhi (modern Northern Vietnam) people sell ants and their nests attached to twigs looking like thin cotton envelopes, the reddish-yellow ant being larger than normal. Without such ants, southern citrus fruits will be severely insect-damaged".[32] The ants used are known as huang gan (huang = yellow, gan = citrus) ants (Oecophylla smaragdina). The practice was later reported by Ling Biao Lu Yi (late Tang dynasty or Early Five Dynasties), in Ji Le Pian by Zhuang Jisu (Southern Song dynasty), in the Book of Tree Planting by Yu Zhen Mu (Ming dynasty), in the book Guangdong Xing Yu (17th century), Lingnan by Wu Zhen Fang (Qing dynasty), in Nanyue Miscellanies by Li Diao Yuan, and others.[32]
The remains of the Bắc Ninh twin hulled boat, dated to about 1600 to 1800 years ago and discovered in 2024. The hulls feature a series of bulkheads along each hull
Bulkhead (partition): an upright wall within the hull of a ship. A twin-hulled boat unearthed in Bac Ninh, Vietnam, features a series of bulkheads along each hull, which help strengthen the structure. The boat is dated to about 1,600–1,800 years ago[34]. If so, this would represent the earliest archaeological evidence of bulkheads found anywhere in the world to date.
Champa rice: a quick-maturing, drought resistant rice that can allow two harvests of sixty days each per growing season, introduced from the Champa Kingdom into Song China in the 11th century.
Copper sheathing: a method for protecting the hull of a wooden vessel from attack by shipworms, barnacles and other marine growth through the use of copper plates affixed to the surface of the hull, below the waterline. A number of Chinese sources attributed the origin of this technology to Northern Vietnam prior to the 4th century.
Flash pan: a small receptacle for priming powder on gun barrels. The flash pan probably first appeared on Vietnamese handcannons prior to 1407.
Habitify: a popular habit-tracking app that helps users form and maintain good habits. It provides statistics to help users track their progress and streaks. Founded by Vietnamese developer Peter Vu.[36][37]
Leeboard: To avoid leeward drift caused by the force of wind in sailing, the leeboard was invented; it was a board lowered onto the side of the ship opposite to the direction of the wind, helping the ship to stay upright and afloat even if the hull was breached. British writers Paul Johnstone and Sean McGrail state that an odd-looking second paddle on a bronze drum of the Dong Son culture (centered in the Red River Delta of northern Vietnam) may depict a leeboard in use as early as 300 BC.[40]
Manscaped: a male grooming company selling high-quality products targeted at pubichair removal. The company reached over a billion dollar valuation.[43] Founded by Vietnamese entrepreneur Paul Tran, who is currently the CEO.[44]
VNI: a software company known for developing an encoding (VNI encoding) and a popular input method (VNI Input) for Vietnamese. Developed by Vietnamese computer programmer Hồ Thành Việt.
Dancing Ballz: a mobilerhythm game developed by Vietnamese game developer Amanotes.[57] The gameplay consists of tapping the screen, where players have to control avatar characters such as animals, insects, discs and balls through line trails, avoiding or jumping over obstacles guided by marked points.
Magic Tiles 3: a music piano game created by Vietnamese developer Amanotes, the number one mobile music games publisher in the world.[59] Players need to tap tiles in time with the music, all while avoiding the white tiles. It's a game of skill and reflexes that is very similar to Piano Tiles.
Swing Copters: an arcade video game developed by Vietnamese video game developer .Gears, best known for Flappy Bird. The player controls a character wearing a helmet with helicopter rotors, and the player changes the direction of the character by tapping the screen.[60]
Tam cúc: a multi-trick card game popular in North Vietnam that uses a deck of 32 Chinese chess cards divided into two suits: red and black.[61][62]
Tiles Hop: a mobile music game created by Vietnamese developer Amanotes. Players control a ball that jump to the rhythm of thrilling EDM songs between different color changing tiles while avoiding obstacles along the way. Since the launch in 2018, Tiles Hop has reached over a billion downloads and is consistently ranked #1 in music games.[63]
Tổ tôm: the origin of tổ tôm is still unclear, but by the 19th century in Vietnam, this card game was very popular, especially among the upper class who considered it an elegant game that required a lot of intelligence.
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