conetype

Conetype is a term used in geometry and related disciplines to designate a class or model defined by conical geometry. In strict geometric terms, a conetype refers to a cone or family of cones described by an apex position, an axis direction, and a half-angle (the angle between the axis and the surface). A right circular conetype has symmetry around its axis; its canonical equation, for a cone with apex at the origin and axis along the z-axis, is x^2 + y^2 = (tan θ)^2 z^2, where θ is the half-angle. Off-origin apexes and oblique axes yield generalized representations.

In computer graphics and computational geometry, conetypes provide primitives for modeling, collision detection, and shading. They support analytic intersection tests with rays and are useful for approximating surfaces, volumes, or field-of-view shapes. Variants include right circular cones, oblique cones, and truncated cones (frusta), each with corresponding parameters for apex, axis, height, and base radius.

In vision science and related fields, a closely related term is cone-type or cone-type photoreceptors, referring to the types of cone cells in the retina that mediate color vision. While this usage is phonically similar, it is typically treated as a different concept from geometric conetypes.

Etymology flows from the words cone and type, reflecting the categorization of curves, surfaces, or objects by conical form. The term is specialized and its precise meaning depends on the disciplinary context.

See also: cone, conic section, frustum, ray-cone intersection.