If you draw a line between three adjacent sprinklers the pattern formed is an equilateral triangle (all three sides are equal at 3 metres). Basic geometry tells us that the altitude of the triangle is 0.866 of the radius; in this case it works out to 2.6 metres. This means that the vertical spacing must be 2.6 metres to get full head to head coverage. You will note that there are sprinklers missing along the left and right sides. On the left there is a space in the middle with no sprinkler and along the right there are no sprinklers in the corners.
This is the downfall of triangular spacing. It is great for large open areas, but in smaller areas it becomes difficult to fit the spacing to the shape of the landscape. In this case we would have to place “filler” sprinklers in the spots the triangular spacing omits.
Triangular spaced sprinklers have a higher rate of precipitation (ROP) than square spaced sprinklers. A typical cone sprinkler will have a ROP of 40mm/hr for square spacing while triangular spacing yields 46mm/hr. See our article on calculating precipitation rates.