Longest Chord Starts From This <----- Number of Starters for the Various Numbers of Pairs -----> Vertex 2 Pairs 3 Pairs 4 Pairs 5 Pairs 6 Pairs 7 Pairs 8 Pairs 9 Pairs 10 Pairs 11 Pairs 12 Pairs 13 Pairs 14 Pairs 15 Pairs 16 Pairs 17 Pairs 18 Pairs 19 Pairs -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 1 | 1 0 0 2 2 14 50 218 1,458 9,410 68,730 557,058 4,946,702 47,075,234 484,588,130 5,340,508,538 62,891,087,278 786,494,104,690 2 | 0 0 1 1 3 13 51 259 1,533 9,843 72,303 581,715 5,126,265 48,927,203 502,245,659 5,524,311,971 64,902,462,729 810,159,411,271 3 | 0 0 1 3 11 53 255 1,549 9,997 72,857 585,713 5,138,363 48,968,517 502,700,557 5,527,928,281 64,943,681,335 810,439,091,581 4 | 1 0 2 3 11 41 251 1,531 10,033 72,179 585,883 5,170,611 48,985,525 502,684,721 5,528,057,225 64,924,519,367 810,540,560,861 5 | 1 0 2 13 53 251 1,515 9,863 72,497 584,925 5,127,691 48,909,363 502,434,083 5,528,496,933 64,951,700,659 810,423,422,609 6 | 1 1 0 14 51 255 1,531 9,863 72,485 582,227 5,133,987 48,994,081 502,576,485 5,525,723,825 64,908,218,413 810,313,474,739 7 | 1 3 0 50 259 1,549 10,033 72,497 582,227 5,144,579 48,927,855 502,562,301 5,528,296,145 64,930,446,751 810,403,276,217 8 | 1 3 9 0 218 1,533 9,997 72,179 584,925 5,133,987 48,927,855 501,203,525 5,524,625,435 64,935,027,203 810,523,787,649 9 | 3 15 45 0 1,458 9,843 72,857 585,883 5,127,691 48,994,081 502,562,301 5,524,625,435 64,782,498,487 810,141,713,867 10 | 3 9 41 273 0 9,410 72,303 585,713 5,170,611 48,909,363 502,576,485 5,528,296,145 64,935,027,203 810,141,713,867 11 | 15 55 269 1,523 0 68,730 581,715 5,138,363 48,985,525 502,434,083 5,525,723,825 64,930,446,751 810,523,787,649 12 | 9 55 275 1,527 9,965 0 557,058 5,126,265 48,968,517 502,684,721 5,528,496,933 64,908,218,413 810,403,276,217 13 | 41 257 1,549 10,081 72,497 0 4,946,702 48,927,203 502,700,557 5,528,057,225 64,951,700,659 810,313,474,739 14 | 45 275 1,525 9,881 72,557 583,569 0 47,075,234 502,245,659 5,527,928,281 64,924,519,367 810,423,422,609 15 | 269 1,525 9,945 72,985 584,557 5,112,367 0 484,588,130 5,524,311,971 64,943,681,335 810,540,560,861 16 | 273 1,549 10,145 72,419 584,189 5,156,963 48,788,725 0 5,340,508,538 64,902,462,729 810,439,091,581 17 | 1,527 9,945 72,375 581,711 5,138,871 48,952,005 501,099,521 0 62,891,087,278 810,159,411,271 18 | 1,523 9,881 72,375 584,345 5,129,851 49,004,609 502,441,417 5,514,187,829 0 786,494,104,690 19 | 10,081 72,419 584,341 5,168,467 48,981,153 502,874,537 5,525,116,009 64,780,033,099 0 20 | 9,965 72,985 584,345 5,128,885 48,930,531 502,877,845 5,528,914,781 64,931,575,571 808,857,711,189 21 | 72,557 581,711 5,128,885 48,955,269 502,266,839 5,528,339,277 64,928,833,743 810,332,703,357 22 | 72,497 584,189 5,168,467 48,805,961 502,840,989 5,524,673,969 64,933,215,815 810,524,312,597 23 | 584,557 5,129,851 48,955,269 502,278,127 5,528,693,433 64,938,555,511 810,515,192,693 24 | 583,569 5,138,871 48,930,531 502,278,127 5,526,645,477 64,909,383,361 810,520,174,685 25 | 5,156,963 48,981,153 502,840,989 5,513,495,289 64,940,704,231 810,215,915,435 26 | 5,112,367 49,004,609 502,266,839 5,526,645,477 64,903,912,085 810,549,479,141 27 | 48,952,005 502,877,845 5,528,693,433 64,903,912,085 810,361,318,549 28 | 48,788,725 502,874,537 5,524,673,969 64,940,704,231 808,912,591,625 29 | 502,441,417 5,528,339,277 64,909,383,361 810,361,318,549 30 | 501,099,521 5,528,914,781 64,938,555,511 810,549,479,141 31 | 5,525,116,009 64,933,215,815 810,215,915,435 32 | 5,514,187,829 64,928,833,743 810,520,174,685 33 | 64,931,575,571 810,515,192,693 34 | 64,780,033,099 810,524,312,597 35 | 810,332,703,357 36 | 808,857,711,189 Totals 1 1 3 9 25 133 631 3,857 25,905 188,181 1,515,283 13,376,125 128,102,625 1,317,606,101 14,534,145,947 170,922,533,545 2,138,089,212,789 28,311,543,893,885 Please see http://www.durangobill.com/BridgeCyclicSolutions.html for the main article.