Reference:Pavement Pattern

The pavement is a pattern which paves the x-z plane with a single polyform tile. A polyform is a plane figure constructed by joining together identical basic polygons. The number_of_sides is used to choose that basic polygon: an equilateral triangle (3), a square (4) or a hexagon (6). The number_of_tiles is used to choose the number of basic polygons in the tile while pattern is used to choose amongst the variants.

The syntax is:

pigment {
  pavement 
  [PAVEMENT_MODIFIERS...]
  }

PAVEMENT_MODIFIERS:
  number_of_sides SIDES_VALUE | number_of_tiles TILES_VALUE | pattern PATTERN_VALUE |
  exterior EXTERIOR_VALUE | interior INTERIOR_VALUE | form FORM_VALUE |
  PATTERN_MODIFIERS

A table of the number of patterns:

Sides	Tiles
	1	2	3	4	5	6
3	1	1	1	3	4	12
4	1	1	2	5	12	35
6	1	1	3	7	22

The various patterns with 6 squares.

There is no nomenclature for pattern, they are just numbered from 1 to the maximum relevant value.

form

0, 1 or 2, a special 3 is allowed for square only which copy the look of interior for some additional variations.

interior

0, 1 or 2

exterior

0, 1 or 2; Not used for hexagon.

The form, exterior and interior specify the look of angle used for respectively slow convex (turning side), quick convex (pointy tile) and concave angle (interior angle between many tiles).

• 0 is a normal pointy angle. (a right angle for square)
• 1 is the same as 0, but the pointy angle is broken in two. For square, the two corners are broken so as to share middle angle.
• 2 is a smooth negotiation of the angle, without pointy part.

Note: The case of paving the plane with tiles made of 6 hexagons is not supported because not all such tiles would pave the plane. For example, the ring made of six hexagons is not able to pave the plane.