Swastika, equilateral cross with arms bent at right angles, all in the same rotary direction, usually clockwise. The swastika as a symbol of prosperity and good fortune is widely distributed throughout the ancient and modern world. The word is derived from the Sanskrit svastika, meaning “conducive to well-being.” It was a favourite symbol on ancient Mesopotamian coinage. In Scandinavia the left-hand swastika was the sign for the god Thor’s hammer. The swastika also appeared in early Christian and Byzantine art (where it became known as the gammadion cross, or crux gammata, because it could be constructed from four Greek gammas [ Γ ] attached to a common base), and it occurred in South and Central America (among the Maya) and in North America (principally among the Navajo).

swastika at Palais de la Porte Dorée, Paris Swastika mosaic on the floor of the Palais de la Porte Dorée, which was built for the Exposition Coloniale Internationale of 1931 in Paris and intended as a museum showcasing France's colonial empire. Gideon (malias)

In India the swastika continues to be the most widely used auspicious symbol of Hindus, Jainas, and Buddhists. Among the Jainas it is the emblem of their seventh Tirthankara (saint) and is also said to remind the worshiper by its four arms of the four possible places of rebirth—in the animal or plant world, in hell, on Earth, or in the spirit world.

The Hindus (and also Jainas) use the swastika to mark the opening pages of their account books, thresholds, doors, and offerings. A clear distinction is made between the right-hand swastika, which moves in a clockwise direction, and the left-hand swastika (more correctly called the sauvastika), which moves in a counterclockwise direction. The right-hand swastika is considered a solar symbol and imitates in the rotation of its arms the course taken daily by the Sun, which in the Northern Hemisphere appears to pass from east, then south, to west. The left-hand swastika more often stands for night, the terrifying goddess Kālī, and magical practices.

In the Buddhist tradition the swastika symbolizes the feet, or the footprints, of the Buddha. It is often placed at the beginning and end of inscriptions, and modern Tibetan Buddhists use it as a clothing decoration. With the spread of Buddhism, the swastika passed into the iconography of China and Japan, where it has been used to denote plurality, abundance, prosperity, and long life.

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In Nazi Germany the swastika (German: Hakenkreuz), with its oblique arms turned clockwise, became the national symbol. In 1910 a poet and nationalist ideologist Guido von List had suggested the swastika as a symbol for all anti-Semitic organizations; and when the National Socialist Party was formed in 1919–20, it adopted it. On September 15, 1935, the black swastika on a white circle with a red background became the national flag of Germany. This use of the swastika ended in World War II with the German surrender in May 1945, though the swastika is still favoured by neo-Nazi groups.