A hyperbolic spiral is a type of spiral with a pitch angle that increases with distance from its center, unlike the constant angles of logarithmic spirals or decreasing angles of Archimedean spirals. As this curve widens, it approaches an asymptotic line. It can be found in the view up a spiral staircase and the starting arrangement of certain footraces, and is used to model spiral galaxies and architectural volutes.
A spiral staircase in the Cathedral of St. John the Divine. Several helical curves in the staircase project to hyperbolic spirals in its photograph.
The staggered start of a 200m race
The pitch angle of NGC 4622 increases with distance
Volutes on a Corinthian order capital in the Archaeological Museum of Epidaurus
In mathematics, a spiral is a curve which emanates from a point, moving farther away as it revolves around the point. It is a subtype of whorled patterns, a broad group that also includes concentric objects.
Cutaway of a nautilus shell showing the chambers arranged in an approximately logarithmic spiral
An artist's rendering of a spiral galaxy.
Sunflower head displaying florets in spirals of 34 and 55 around the outside.
Cucuteni Culture spirals on a bowl on stand, a vessel on stand, and an amphora, 4300-4000 BCE, ceramic, Palace of Culture, Iași, Romania
