Domino Tile Patterns
The single solitary free domino. In mathematics, a single free domino is any polyomino of coordinate shape, that is, a square of a plane intersecting at one angle with itself, which is also a polygon on the plane formed by two parallel squares parallel to the sides and one edge. If reflections and rotations are regarded as separate shapes, then there’s only one free domino to be considered. The usual connotation is that a triangular is “four” in height, but this is actually a bit of an exaggeration because three and four are also connoted as such.
Dominoes, like most things, develop habits. The simplest and most obvious habits associated with dominoes are those of symmetry. For example, if all the squares form a perfect circle, or if all the faces are identical in shape, then every face of the circle is a perfect symmetrical shape. The most complicated shapes in a domino, those with many angles and surfaces to consider, also develop habits. The equilateral triangle, for example, has three sides and a surface, but it can be oriented any way you’d like (right angles to each side produce a diamond shape, left angles make an equilateral rectangle) and so forth.
The domino tiles you put on your floor also have habits associated with them. If you’re using standard (concrete) tiles, all the tiles will share the basic diagonal pattern of straight dominoes: a central vertical line (a “pip”) between the tiles, followed by a two-sided angle of twenty-one degrees, making a total of forty-three, and then the remaining edges would be a mixture of straight (short) and curly (longer) lines. You can adjust these basic patterns to the way you want, and even create your own. If you use pips or kites, the tiles will be cut into strips that become the edges of the pattern and the pips become the corners. Domino tiles are available in different size and thicknesses, so you can choose the one that fits best on your space, depending on its use.