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In mapmaking, a quadrilateralized spherical cube, or quad sphere for short, is an equal-area mapping and binning scheme for data collected on a spherical surface (either that of the Earth or the celestial sphere). [1]

## Bin (computational geometry)

In computational geometry, the bin is a data structure which allows efficient region queries.

## Binary tree

In computer science, a binary tree is a tree data structure in which each node has at most two children, which are referred to as the and the.

## Bit

The bit (a portmanteau of binary digit) is a basic unit of information used in computing and digital communications.

## Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

## Cartography

Cartography (from Greek χάρτης chartēs, "papyrus, sheet of paper, map"; and γράφειν graphein, "write") is the study and practice of making maps.

## Celestial sphere

In astronomy and navigation, the celestial sphere is an abstract sphere with an arbitrarily large radius concentric to Earth.

## Cosmic Background Explorer

The Cosmic Background Explorer (COBE), also referred to as Explorer 66, was a satellite dedicated to cosmology, which operated from 1989 to 1993.

## Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

## Cube mapping

In computer graphics, cube mapping is a method of environment mapping that uses the six faces of a cube as the map shape.

## Curvilinear perspective

Curvilinear perspective is a graphical projection used to draw 3D objects on 2D surfaces.

## Data binning

Data binning or bucketing is a data pre-processing technique used to reduce the effects of minor observation errors.

## Geodesic grid

A geodesic grid is a spatial grid based on a geodesic polyhedron or Goldberg polyhedron.

## Histogram

A histogram is an accurate representation of the distribution of numerical data.

## List of map projections

This list provides an overview of some of the significant or common map projections.

## Map projection

A map projection is a systematic transformation of the latitudes and longitudes of locations from the surface of a sphere or an ellipsoid into locations on a plane.

## Max Tegmark

Max Erik Tegmark (born Max Shapiro 5 May 1967) is a Swedish-American physicist and cosmologist.

## Minute and second of arc

A minute of arc, arcminute (arcmin), arc minute, or minute arc is a unit of angular measurement equal to of one degree.

## North Pole

The North Pole, also known as the Geographic North Pole or Terrestrial North Pole, is (subject to the caveats explained below) defined as the point in the Northern Hemisphere where the Earth's axis of rotation meets its surface.

## Numbering scheme

There are many different numbering schemes for assigning nominal numbers to entities.

## Partition of a set

In mathematics, a partition of a set is a grouping of the set's elements into non-empty subsets, in such a way that every element is included in one and only one of the subsets.

## Power of two

In mathematics, a power of two is a number of the form where is an integer, i.e. the result of exponentiation with number two as the base and integer as the exponent.

## Prime meridian

A prime meridian is a meridian (a line of longitude) in a geographic coordinate system at which longitude is defined to be 0°.

A quadtree is a tree data structure in which each internal node has exactly four children.

## Rasterisation

Rasterisation (or rasterization) is the task of taking an image described in a vector graphics format (shapes) and converting it into a raster image (pixels or dots) for output on a video display or printer, or for storage in a bitmap file format.

## Singularity (mathematics)

In mathematics, a singularity is in general a point at which a given mathematical object is not defined, or a point of an exceptional set where it fails to be well-behaved in some particular way, such as differentiability.

## Sphere

A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").

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## Sternberg Astronomical Institute

The Sternberg Astronomical Institute (Государственный астрономический институт имени Штернберга in Russian), also known as GAISh (ГАИШ), is a research institution in Moscow, Russia, a division of Moscow State University.

## United States Naval Research Laboratory

The United States Naval Research Laboratory (NRL) is the corporate research laboratory for the United States Navy and the United States Marine Corps.

## Vertex (geometry)

In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.

## References

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