NAME

Graph::Maker::HexGrid - create hexagonal grid graphs

SYNOPSIS

            

              
              
use Graph::Maker::HexGrid;
$graph = Graph::Maker->new ('hex_grid');
            
          

DESCRIPTION

Graph::Maker::HexGrid creates a Graph.pm graph of hexagons arranged in a hexagonal shape,

            

              
              
              *---*
             /     \
        *---*       *---*
       /     \     /     \               dims => [4,3,2]
  *---*       *---*       *---*
 /     \     /     \     /     \
*       *---*       *---*       *---*
 \     /     \     /     \     /     \
  *---*       *---*       *---*       *
 /     \     /     \     /     \     /
*       *---*       *---*       *---*
 \     /     \     /     \     /     \
  *---*       *---*       *---*       *
       \     /     \     /     \     /
        *---*       *---*       *---*
             \     /     \     /
              *---*       *---*
                   \     /
                    *---*
            
          

dims is the side lengths of the hexagonal shape. The example above is 4 hexagons along the bottom left side, then 3 for the bottom right, and 2 vertically. The opposite sides the same 4,3,2.

If a side is 1 then the result is a parallelogram of hexagons.

            

              
              
              *---*                       
             /     \                      
        *---*       *---*                 
       /     \     /     \              dims => [4,3,1]
  *---*       *---*       *---*           
 /     \     /     \     /     \          
*       *---*       *---*       *---*     
 \     /     \     /     \     /     \    
  *---*       *---*       *---*       *   
       \     /     \     /     \     /    
        *---*       *---*       *---*     
             \     /     \     /          
              *---*       *---*           
                   \     /                
                    *---*
            
          

If two sides are 1 then the result is line of hexagons, like a ladder (Graph::Maker::Ladder) with every second rung.

            

              
              
  *---*                 
 /     \                            dims => [3,1,1]       
*       *---*           
 \     /     \          
  *---*       *---*     
       \     /     \    
        *---*       *   
             \     /    
              *---*
            
          

The order in which dims are given doesn't matter. Any cyclic rotation is just the graph rotated, and reversing is a mirror image, so any order is an isomorphic graph.

Vertex names are currently x,y coordinates used in the construction, but don't rely on that.

FUNCTIONS

$graph = Graph::Maker->new('hex_grid', key => value, ...)

The key/value parameters are

            

              
              
dims        => arrayref of 3 integers
graph_maker => subr(key=>value) constructor, default Graph->new
            
          

Other parameters are passed to the constructor, either graph_maker or Graph->new().

If the graph is directed (the default) then edges are added both ways between vertices (like Graph::Maker::Grid does). Option undirected => 1 creates an undirected graph and for it there is a single edge between vertices.

HOUSE OF GRAPHS

House of Graphs entries for graphs here include

https://hog.grinvin.org/ViewGraphInfo.action?id=670 etc

            

              
              
670      1,1,1  6-cycle
28529    2,2,2 
28500    3,3,3
            
          

OEIS

Entries in Sloane's Online Encyclopedia of Integer Sequences related to this tree include

http://oeis.org/A143366 (etc)

            

              
              
A143366    Wiener index of NxNxN
            
          

SEE ALSO

Graph::Maker, Graph::Maker::Cycle, Graph::Maker::Grid

HOME PAGE

http://user42.tuxfamily.org/graph-maker-other/index.html

LICENSE

Copyright 2017, 2018, 2019, 2020, 2021 Kevin Ryde

This file is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version.

This file is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with This file. If not, see http://www.gnu.org/licenses/.

cpanm Graph::Maker::Other

perl -MCPAN -e shell
install Graph::Maker::Other