Ekvatoriincentered

Ekvatοriiincentered is a neologism used in speculative geometry and geographic information discourse to describe a coordinate framing that combines an equatorial reference with an incenter-based central point. The term is not part of a formal, widely adopted system and appears primarily in theoretical or exploratory contexts rather than standard cartography or geometry textbooks.

Definition and construction

In ekvatoriincentered schemes, the equator is treated as the primary reference circle. A region of interest on a sphere (often a spherical polygon) is used to define an incenter, conceptually the point equidistant from the sides of the region under a chosen metric. This incenter is then used to orient a local coordinate frame: one axis follows a meridian through the incenter, and the other is defined by a great circle perpendicular to that meridian, with the equator informing scale or angular reference. Points are expressed in coordinates that reflect their angular or planar distance from the equator and from the incenter-based axes.

Variants and usage

Variants of the concept differ in how the incenter is computed (spherical versus planar projection) and how the axes are defined (great-circle directions versus projected directions). Ekvatoriincentered coordinates are discussed mainly in theoretical treatments of spherical geometry, computational mesh generation on spherical surfaces, and niche GIS or mapping scenarios where equatorial symmetry and region-centered locality are desirable. There is no single canonical algorithm or implementation.

Status

The term remains informal and is used to illustrate a framing idea rather than to denote a standardized coordinate system. Related concepts include the equatorial coordinate system, incenter, and various map projections.