The swastika (Sanskrit "good luck" or "well-being", literally "it is good") appears in art and design throughout human history, symbolising many different things; such as luck, fascism, samsara, or the sun.
The swastika is used as a symbol by Hindus, Buddhists, Jainists, and Nazis.
The swastika is common as a design motif in ancient architecture, frequently appearing in mosaics, friezes, and other works across the ancient world. Related symbols in classical architecture include the cross, the gammadion, the three-legged triskele or triskelion and the rounded lauburu. The swastika symbol is also known in these contexts by a number of names including fylfot (in English) and gammadion (in Greece).
Geometrically, the swastika is an irregular icosagon, a 20-sided polygon.