the different cross sectional shape alternately the first length l 1 the second length l 2 and or the third length l 3 may be smaller than portion of the shaft with the different cross sectional shape a rt cross sectional shape 120 is illustrated in fig3 a the cross section is based on an equilateral triangle and includes rounded sides 122 meeting at rounded corners 124 as illustrated in fig3 b the rounded sides 122 may be more round while fig3 c illustrates that the rounded sides 122 may be less round the fletchings 116 may be spread around a perimeter of the cross section of the shaft spaced equidistantly from one another in the case of a rt cross section the fletchings may be located at 120 degree intervals around the perimeter of the shaft 112 for instance the fletchings 116 may be attached to the shaft 112 at a midpoint between the rounded corners 124 on each of the rounded sides 122 in another aspect the fletchings 116 may be located on each of the rounded corners 124 the longitudinal location of the fletchings 116 may be closer to the rear end than the front end of the shaft 112 a shaft including the rt shape may be significantly stronger than a conventional round shaft of the same size specifically a rt shaft may have a greater static and dynamic spine strength than a purely round shaft the flexural rigidity of a rt shaft is also different due to its shape in the case of a round shaft the flexural rigidity is generally constant.