In mapmaking, a quadrilateralized spherical cube, or quad sphere for short, is an equal-area polyhedral map projection and discrete global grid scheme for data collected on a spherical surface (either that of the Earth or the celestial sphere). It was first proposed in 1975 by Chan and O'Neill for the Naval Environmental Prediction Research Facility.[2] This scheme is also often called the COBE sky cube,[3]
because it was designed to hold data from the Cosmic Background Explorer (COBE) project.[4]
^Chan, F.K.; O'Neill, E. M. (1975). Feasibility Study of a Quadrilateralized Spherical Cube Earth Data Base (CSC - Computer Sciences Corporation, EPRF Technical Report 2-75) (Technical report). Monterey, California: Environmental Prediction Research Facility.
^"COBE Quadrilateralized Spherical Cube".
^Max Tegmark. "What is the best way to pixelize a sphere?".
and 27 Related for: Quadrilateralized spherical cube information
In mapmaking, a quadrilateralizedsphericalcube, or quad sphere for short, is an equal-area polyhedral map projection and discrete global grid scheme...
latitude, as defined in this way for the sphere, is often termed the spherical latitude, to avoid ambiguity with the geodetic latitude and the auxiliary...
certain quadrilaterals. Polyhedral map projections are useful for creating discrete global grids, as with the quadrilateralizedsphericalcube and Icosahedral...
small circle of fixed radius (e.g., 15 degrees angular radius). Sometimes spherical triangles are used.[citation needed] In the first half of the 20th century...
third correspond to the A2 and B2 Coxeter planes. The cube can also be represented as a spherical tiling, and projected onto the plane via a stereographic...
reduced so that the cylinder slices through the model globe. Both exist in spherical and ellipsoidal versions. Both projections are conformal, so that the...
November 16, 2020. Retrieved October 8, 2015. "LAMBDA – COBE QuadrilateralizedSphericalCube". Dutton, Geoffrey H. (1999). A Hierarchical Coordinate System...
Hipparchus (2nd century BCE) used a coordinate system that assumed a spherical Earth, and divided it into 360° as we still do today. His prime meridian...
on Earth or other spherical solar system bodies. In addition it is frequently used in panoramic photography to represent a spherical panoramic image. The...
approximated by a sphere of radius a, where a is approximately 6,371 km. This spherical approximation of Earth can be modelled by a smaller sphere of radius R...
computer representation of spherical data, cube mapping is the gnomonic projection of the image sphere onto six faces of a cube. In mathematics, the space...
of the sphere. Another alternative hierarchical grid is the QuadrilateralizedSphericalCube. The 12 "base resolution pixels" of H=4, K=3 HEALPix projection...
setting for spherical analytic geometry instead of spherical polar coordinates or three-dimensional cartesian coordinates. This is the spherical analog of...
masses that may be displayed in various arrangements. 1973 Quadrilateralizedsphericalcube Polyhedral Equal-area F. Kenneth Chan, E. M. O'Neill 1943 Dymaxion...
In Euclidean geometry, a square is a regular quadrilateral, which means that it has four sides of equal length and four equal angles (90-degree angles...
Earth projection include: The curved sides of the projection suggest the spherical form of Earth. Straight parallels make it easy to compare how far north...
architect Hajime Narukawa in 1999. The map is made by equally dividing a spherical surface into 96 triangles, transferring it to a tetrahedron while maintaining...
addition, in its spherical form, the stereographic projection is the only map projection that renders all small circles as circles. The spherical form of the...
which meet at each vertex. A regular octahedron is the dual polyhedron of a cube. It is also a rectified tetrahedron, a square bipyramid in any of three orthogonal...
mathematician, physicist, philosopher, and astronomer. Coordinates from a spherical datum can be transformed into Lambert conformal conic projection coordinates...
1925. The projection has seen use in digital photography for portraying spherical panoramas. The maturation of complex analysis led to general techniques...