Here is the table of diagonal beam fits you have all been waiting for! If you want to cross-brace a Technic beam structure with pegs and a diagonal brace, this tells you what will fit. It also tells you how you can connect things to get a specific angle. The table covers everything that can be made with a 16-stud beam with a one-stud one-hole addition as the diagonal brace. Some lengths require a half-hole fit of the diagonal brace, and you can create that by sticking the little one-hole on the end with some skinny plates. Half- hole horizontal spacings can be accomplished with either the one-stud or with a stud-under-hole positioning of the beams. X = The number of holes across the horizontal beam Y = The number of holes vertically up a stack. 1/3 of a hole is accomplished with a plate as a shim. H = the number of holes across the diagonal brace. * = the strain of the fit. *** = tight fit. ** = easy fit. * = essentially perfect fit. No star = mathematically perfect fit. Angle = Degrees of angle from vertical of the diagonal brace X Y H Fit Angle 0 1 2/3 2 0 0 3 1/3 4 0 0 5 6 0 0 6 2/3 8 0 0 8 1/3 10 0 0 10 12 0 0 11 2/3 14 0 1 1 1 1/2 *** 38.66 1 3 2/3 4 1/2 * 12.31 1 6 2/3 8 *** 6.843 1 8 1/3 10 ** 5.484 1 10 12 ** 4.574 1 11 2/3 14 ** 3.923 1 1/2 1 2/3 2 1/2 35.75 1 1/2 2 2/3 3 1/2 ** 24.23 1 1/2 4 5 ** 16.7 1 1/2 5 1/3 6 1/2 *** 12.68 1 1/2 7 8 1/2 ** 9.728 1 1/2 8 2/3 10 1/2 * 7.883 2 1 1/3 2 1/2 *** 50.19 2 4 1/3 5 1/2 *** 20.27 2 7 1/3 9 * 12.31 2 10 1/3 12 1/2 *** 8.802 2 12 14 1/2 ** 7.595 2 1/2 2 2/3 4 *** 36.87 2 1/2 3 2/3 5 *** 28.61 2 1/2 5 6 1/2 21.8 2 1/2 6 1/3 8 * 17.53 2 1/2 7 2/3 9 1/2 ** 14.62 2 1/2 10 2/3 13 ** 10.62 2 1/2 12 1/3 15 * 9.211 3 3 1/3 5 35.75 3 4 1/3 6 * 28.98 3 5 1/3 7 *** 24.23 3 6 2/3 8 1/2 ** 19.8 3 8 10 *** 16.7 3 11 13 1/2 ** 12.31 3 1/2 1 2/3 4 ** 59.24 3 1/2 3 5 * 43.03 3 1/2 6 8 * 25.02 3 1/2 10 12 1/2 15.64 3 1/2 11 1/3 14 ** 13.88 4 4 1/3 6 1/2 *** 36.44 4 5 1/3 7 1/2 ** 30.96 4 7 2/3 10 ** 22.66 4 9 11 1/2 * 19.57 4 10 1/3 13 ** 17.21 4 11 2/3 14 1/2 *** 15.34 4 1/2 2 2/3 5 1/2 * 53.47 4 1/2 3 1/3 6 * 47.2 4 1/2 5 7 1/2 35.75 4 1/2 7 9 1/2 ** 27.22 4 1/2 9 1/3 12 *** 21.09 4 1/2 10 2/3 13 1/2 *** 18.65 5 2 5 1/2 ** 63.43 5 4 2/3 7 1/2 * 40.6 5 8 2/3 11 1/2 ** 24.78 5 10 13 21.8 5 1/2 2 6 * 65.56 5 1/2 3 6 1/2 *** 55.71 5 1/2 3 2/3 7 ** 50.19 5 1/2 4 1/3 7 1/2 *** 45.44 5 1/2 6 9 *** 36.25 5 1/2 7 10 ** 32.15 5 1/2 8 11 *** 28.81 5 1/2 10 1/3 13 1/2 *** 23.06 5 1/2 11 2/3 15 ** 20.66 6 5 2/3 9 *** 40.27 6 6 2/3 10 35.75 6 8 2/3 12 * 28.98 6 9 2/3 13 *** 26.41 6 1/2 6 1/3 10 * 39.39 6 1/2 10 1/3 14 * 26.71 6 1/2 11 1/3 15 *** 24.65 7 2 1/3 7 1/2 ** 67.38 7 3 1/3 8 *** 59.24 7 6 10 ** 43.03 7 7 2/3 11 1/2 *** 36.15 7 8 2/3 12 1/2 ** 32.87 7 9 2/3 13 1/2 ** 30.08 7 1/2 2 1/3 8 * 68.75 7 1/2 3 1/3 8 1/2 60.95 7 1/2 7 1/3 11 1/2 *** 39.29 7 1/2 8 1/3 12 1/2 35.75 7 1/2 11 1/3 15 1/2 ** 27.9 8 4 1/3 9 1/2 ** 55.9 8 5 10 52 8 6 1/3 11 ** 45.3 8 1/2 3 2/3 9 1/2 *** 61.67 8 1/2 7 2/3 12 1/2 ** 41.57 8 1/2 9 1/3 14 *** 36.08 8 1/2 10 1/3 15 ** 33.35 9 2 2/3 9 1/2 *** 69.68 9 3 2/3 10 * 63.01 9 5 1/3 11 ** 53.47 9 6 11 1/2 ** 50.19 9 6 2/3 12 ** 47.2 9 9 14 *** 38.66 9 1/2 2 2/3 10 * 70.67 9 1/2 4 2/3 11 ** 58.45 9 1/2 8 13 1/2 * 43.53 10 1 10 *** 82.87 10 6 1/3 12 1/2 *** 51.63 10 7 13 *** 48.81 10 9 1/3 15 * 40.6 10 1/2 1 10 1/2 *** 83.21 10 1/2 4 11 1/2 ** 64.54 10 1/2 5 2/3 12 1/2 * 56 10 1/2 8 1/3 14 1/2 45.23 10 1/2 9 15 *** 43.03 11 1 11 *** 83.52 11 3 11 1/2 *** 71.18 11 4 12 * 65.56 11 5 12 1/2 ** 60.4 11 1/2 1 11 1/2 *** 83.8 11 1/2 3 12 *** 71.94 11 1/2 6 13 1/2 *** 56.89 11 1/2 6 2/3 14 * 54.07 11 1/2 8 2/3 15 1/2 * 46.71 12 1 12 *** 84.05 12 3 12 1/2 ** 72.65 12 1/2 1 12 1/2 *** 84.29 12 1/2 3 13 * 73.3 12 1/2 4 1/3 13 1/2 ** 66.57 12 1/2 5 1/3 14 ** 61.93 12 1/2 7 15 *** 55.01 12 1/2 7 2/3 15 1/2 * 52.52 13 1 13 *** 84.51 13 4 1/3 14 * 67.38 13 6 1/3 15 *** 58.66 13 1/2 1 13 1/2 *** 84.71 14 1 14 *** 84.9 14 3 1/3 14 1/2 *** 73.43 14 5 2/3 15 1/2 *** 63.16 14 1/2 1 14 1/2 ** 85.07 14 1/2 3 1/3 15 ** 73.97 14 1/2 4 2/3 15 1/2 ** 68.09 15 1 15 ** 85.24 15 3 1/3 15 1/2 * 74.48 15 1/2 1 15 1/2 ** 85.39