sphere_fibonacci_grid


sphere_fibonacci_grid, a Fortran90 code which constructs a grid of points using the Fibonacci spiral over the surface of a sphere in 3D.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

sphere_fibonacci_grid is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

sphere_fibonacci_grid_test

ball_grid, a Fortran90 code which computes a grid of points over the interior of a ball in 3D.

circle_arc_grid, a Fortran90 code which computes points equally spaced along a circular arc;

cube_grid, a Fortran90 code which computes a grid of points over the interior of a cube in 3D.

disk_grid, a Fortran90 code which computes a grid of points over the interior of a disk in 2D.

ellipse_grid, a Fortran90 code which computes a grid of points over the interior of an ellipse in 2D.

ellipsoid_grid, a Fortran90 code which computes a grid of points over the interior of an ellipsoid in 3D.

hypercube_grid, a Fortran90 code which computes a grid of points over the interior of a hypercube in M dimensions.

line_grid, a Fortran90 code which computes a grid of points over the interior of a line segment in 1D.

polygon_grid, a Fortran90 code which generates a grid of points over the interior of a polygon in 2D.

pyramid_grid, a Fortran90 code which computes a grid of points over the interior of the unit pyramid in 3D;

simplex_grid, a Fortran90 code which generates a grid of points over the interior of a simplex in M dimensions.

sphere_cubed_grid, a Fortran90 code which uses the projection of a cube to create grids of points, lines, and quadrilaterals on the surface of the unit sphere in 3D.

sphere_grid, a Fortran90 code which provides a number of ways of generating grids of points, or of points and lines, or of points and lines and faces, on the surface of the unit sphere in 3D.

sphere_llq_grid, a Fortran90 code which uses longitudes and latitudes to create grids of points, lines, and quadrilaterals on the surface of the unit sphere in 3D.

sphere_lebedev_rule, a Fortran90 code which computes Lebedev quadrature rules over the surface of the unit sphere in 3D.

sphere_llq_grid, a Fortran90 code which computes a grid of quadrilaterals bounded by latitude and longitude lines over the surface of a sphere in 3D.

sphere_llt_grid, a Fortran90 code which computes a grid of triangles bounded by latitude and longitude lines over the surface of a sphere in 3D.

sphere_stereograph, a Fortran90 code which computes the stereographic mapping between points on the unit sphere and points on the plane Z = 1.

sphere_voronoi, a Fortran90 code which computes the Voronoi diagram of points on a sphere.

square_grid, a Fortran90 code which computes a grid of points over the interior of a square in 2D.

tetrahedron_grid, a Fortran90 code which computes a grid of points over the interior of a tetrahedron in 3D.

triangle_grid, a Fortran90 code which computes a grid of points over the interior of a triangle in 2D.

wedge_grid, a Fortran90 code which computes a grid of points over the interior of the unit wedge in 3D.

Reference:

  1. Edward Saff, Arno Kuijlaars,
    Distributing Many Points on a Sphere,
    The Mathematical Intelligencer,
    Volume 19, Number 1, 1997, pages 5-11.
  2. Richard Swinbank, James Purser,
    Fibonacci grids: A novel approach to global modelling,
    Quarterly Journal of the Royal Meteorological Society,
    Volume 132, Number 619, July 2006 Part B, pages 1769-1793.

Source Code:


Last revised on 29 August 2020.