elongatedoval

Elongatedoval is a descriptive term used for an oval shape that appears stretched along its long axis, giving a silhouette noticeably longer than it is wide. The term is common in geometry, design, and applied fields to describe smooth, convex curves that are more elongated than a circle or a short ellipse. In many contexts, an elongatedoval is essentially an ellipse with a relatively large major-to-minor axis ratio.

Mathematically, a common realization of an elongatedoval is an ellipse with semi-major axis a and semi-minor axis b, where a ≥ b and the aspect ratio a/b is large. The ellipse’s boundary can be described by the equation x^2/a^2 + y^2/b^2 = 1, and its area equals πab. As the ratio a/b increases, the ellipse takes on a more pronounced elongated appearance while remaining a smooth, convex curve.

In design and applications beyond pure geometry, an elongatedoval is sometimes represented by the stadium or capsule shape, formed by joining two semicircles of radius b with a central rectangle of width 2b and length 2(a−b). This non-elliptic construction shares the elongated silhouette and is popular for buttons, capsules, and other rounded shapes in graphics and product design. The term elongatedoval remains primarily descriptive, with the exact boundary used depending on the required curvature and functional properties.

See also: Ellipse, Oval, Capsule (shape), Stadium (geometry).