function [ hx, hy ] = hex_grid_01_h ( nodes_per_layer ) %*****************************************************************************80 % %% HEX_GRID_01_H computes the unit square hex grid spacings. % % Discussion: % % This routine determines the values of HX and HY from % the fundamental hexagonal grid parameter NODES_PER_LAYER. % % A hexagonal grid is defined in the unit square [0,1] x [0,1]. % % All nodes of the grid lie on one of LAYERS horizontal lines. % The first of these lines is the X axis, and each successive % line is HY units higher. % % On all the odd numbered lines, there are NODES_PER_LAYER points, % equally spaced from 0 to 1, with a spacing of HX. % % On the even numbered lines, there are NODES_PER_LAYER-1 points, % whose values are the midpoints of successive intervals on % an odd numbered line. (The grid is staggered). % % HY = HX * sqrt ( 3 ) / 2. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 08 March 2005 % % Author: % % John Burkardt % % Parameters: % % Input, integer NODES_PER_LAYER, the number of grid points on the first % horizontal layer of points. % % Output, real HX, the spacing between grid points % on a horizontal line. % % Output, real HY, the spacing between horizontal lines. % if ( nodes_per_layer < 1 ) hx = 0.0; hy = 0.0; elseif ( nodes_per_layer == 1 ) hx = 1.0; hy = 1.0; else hx = 1.0 / ( nodes_per_layer - 1 ); hy = hx * sqrt ( 3.0 ) / 2.0; end return end