Reference:Hexagon Pattern

The hexagon pattern is a block pattern that generates a repeating pattern of hexagons in the x-z-plane. In this instance imagine tall rods that are hexagonal in shape and are parallel to the y-axis and grouped in bundles like shown in the example image. Three separate colors should be specified as follows:

pigment {
  hexagon [COLOR_1 [, COLOR_2 [, COLOR_3]]]
  [PATTERN_MODIFIERS...]
  }

The hexagon pattern.

The three colors will repeat the hexagonal pattern with hexagon COLOR_1 centered at the origin, COLOR_2 in the +z-direction and COLOR_3 to either side. Each side of the hexagon is one unit long. The hexagonal rods of color extend infinitely in the +y- and -y-directions. If no colors are specified then default blue, green and red colors are used.

You may also use pigment statements in place of the colors. For example:

pigment {
  hexagon 
  pigment { Jade },
  pigment { White_Marble },
  pigment { Black_Marble }
  }

This example uses normals:

normal { hexagon 0.5 }

The float value is an optional bump size. You may also use full normal statements. For example:

normal {
  hexagon
  normal { gradient x scale .2 },
  normal { gradient y scale .2 },
  normal { bumps scale .2 }
  }

When used with textures, the syntax is...

texture {
  hexagon
  texture { T_Gold_3A },
  texture { T_Wood_3A },
  texture { Stone12 }
  }

The hexagon pattern has a default color_map built in that results in red, blue and green tiles.

This is a block pattern which cannot use wave types, color_map, or slope_map modifiers.