regular 5-gon, side 1; trajectories parallel to the side X_0 X_4; one trajectory in each strip
strip j lies between the diagonals X_{j-1}X_{n-j} and X_jX_{n-1-j}; start at 1/3 of the side X_{j-1}X_j, direction east
 j | segments of the simple preclosed part | rotation index s | order of s in Z/n | segments of the closed trajectory | preclosed length | closed length / preclosed length
 1 |   2 |   4 |   5 |   10 | 2.618033989 = 2cos(pi/n) sin(2pi/n)/sin(pi/n) | 5
 2 |   2 |   3 |   5 |   10 | 1.618033989 = 2cos(pi/n) sin(4pi/n)/sin(pi/n) | 5
factors d_j (closed length / preclosed length): [5, 5]
their greatest common divisor: 5  -> reduced factors: [1, 1]
a reduced factor equals n: False
regular 7-gon, side 1; trajectories parallel to the side X_0 X_6; one trajectory in each strip
strip j lies between the diagonals X_{j-1}X_{n-j} and X_jX_{n-1-j}; start at 1/3 of the side X_{j-1}X_j, direction east
 j | segments of the simple preclosed part | rotation index s | order of s in Z/n | segments of the closed trajectory | preclosed length | closed length / preclosed length
 1 |   2 |   4 |   7 |   14 | 3.246979604 = 2cos(pi/n) sin(2pi/n)/sin(pi/n) | 7
 2 |   2 |   1 |   7 |   14 | 4.048917340 = 2cos(pi/n) sin(4pi/n)/sin(pi/n) | 7
 3 |   2 |   5 |   7 |   14 | 1.801937736 = 2cos(pi/n) sin(6pi/n)/sin(pi/n) | 7
factors d_j (closed length / preclosed length): [7, 7, 7]
their greatest common divisor: 7  -> reduced factors: [1, 1, 1]
a reduced factor equals n: False
regular 9-gon, side 1; trajectories parallel to the side X_0 X_8; one trajectory in each strip
strip j lies between the diagonals X_{j-1}X_{n-j} and X_jX_{n-1-j}; start at 1/3 of the side X_{j-1}X_j, direction east
 j | segments of the simple preclosed part | rotation index s | order of s in Z/n | segments of the closed trajectory | preclosed length | closed length / preclosed length
 1 |   2 |   4 |   9 |   18 | 3.532088886 = 2cos(pi/n) sin(2pi/n)/sin(pi/n) | 9
 2 |   2 |   8 |   9 |   18 | 5.411474128 = 2cos(pi/n) sin(4pi/n)/sin(pi/n) | 9
 3 |   2 |   3 |   3 |    6 | 4.758770483 = 2cos(pi/n) sin(6pi/n)/sin(pi/n) | 3
 4 |   2 |   7 |   9 |   18 | 1.879385242 = 2cos(pi/n) sin(8pi/n)/sin(pi/n) | 9
factors d_j (closed length / preclosed length): [9, 9, 3, 9]
their greatest common divisor: 3  -> reduced factors: [3, 3, 1, 3]
a reduced factor equals n: False
regular 11-gon, side 1; trajectories parallel to the side X_0 X_10; one trajectory in each strip
strip j lies between the diagonals X_{j-1}X_{n-j} and X_jX_{n-1-j}; start at 1/3 of the side X_{j-1}X_j, direction east
 j | segments of the simple preclosed part | rotation index s | order of s in Z/n | segments of the closed trajectory | preclosed length | closed length / preclosed length
 1 |   2 |   4 |  11 |   22 | 3.682507066 = 2cos(pi/n) sin(2pi/n)/sin(pi/n) | 11
 2 |   2 |   8 |  11 |   22 | 6.195844157 = 2cos(pi/n) sin(4pi/n)/sin(pi/n) | 11
 3 |   2 |   1 |  11 |   22 | 6.742044507 = 2cos(pi/n) sin(6pi/n)/sin(pi/n) | 11
 4 |   2 |   5 |  11 |   22 | 5.147693362 = 2cos(pi/n) sin(8pi/n)/sin(pi/n) | 11
 5 |   2 |   9 |  11 |   22 | 1.918985947 = 2cos(pi/n) sin(10pi/n)/sin(pi/n) | 11
factors d_j (closed length / preclosed length): [11, 11, 11, 11, 11]
their greatest common divisor: 11  -> reduced factors: [1, 1, 1, 1, 1]
a reduced factor equals n: False
regular 13-gon, side 1; trajectories parallel to the side X_0 X_12; one trajectory in each strip
strip j lies between the diagonals X_{j-1}X_{n-j} and X_jX_{n-1-j}; start at 1/3 of the side X_{j-1}X_j, direction east
 j | segments of the simple preclosed part | rotation index s | order of s in Z/n | segments of the closed trajectory | preclosed length | closed length / preclosed length
 1 |   2 |   4 |  13 |   26 | 3.770912051 = 2cos(pi/n) sin(2pi/n)/sin(pi/n) | 13
 2 |   2 |   8 |  13 |   26 | 6.677953596 = 2cos(pi/n) sin(4pi/n)/sin(pi/n) | 13
 3 |   2 |  12 |  13 |   26 | 8.055156450 = 2cos(pi/n) sin(6pi/n)/sin(pi/n) | 13
 4 |   2 |   3 |  13 |   26 | 7.587020036 = 2cos(pi/n) sin(8pi/n)/sin(pi/n) | 13
 5 |   2 |   7 |  13 |   26 | 5.380788766 = 2cos(pi/n) sin(10pi/n)/sin(pi/n) | 13
 6 |   2 |  11 |  13 |   26 | 1.941883635 = 2cos(pi/n) sin(12pi/n)/sin(pi/n) | 13
factors d_j (closed length / preclosed length): [13, 13, 13, 13, 13, 13]
their greatest common divisor: 13  -> reduced factors: [1, 1, 1, 1, 1, 1]
a reduced factor equals n: False
regular 15-gon, side 1; trajectories parallel to the side X_0 X_14; one trajectory in each strip
strip j lies between the diagonals X_{j-1}X_{n-j} and X_jX_{n-1-j}; start at 1/3 of the side X_{j-1}X_j, direction east
 j | segments of the simple preclosed part | rotation index s | order of s in Z/n | segments of the closed trajectory | preclosed length | closed length / preclosed length
 1 |   2 |   4 |  15 |   30 | 3.827090915 = 2cos(pi/n) sin(2pi/n)/sin(pi/n) | 15
 2 |   2 |   8 |  15 |   30 | 6.992443043 = 2cos(pi/n) sin(4pi/n)/sin(pi/n) | 15
 3 |   2 |  12 |   5 |   10 | 8.948738245 = 2cos(pi/n) sin(6pi/n)/sin(pi/n) | 5
 4 |   2 |   1 |  15 |   30 | 9.357715307 = 2cos(pi/n) sin(8pi/n)/sin(pi/n) | 15
 5 |   2 |   5 |   3 |    6 | 8.148658380 = 2cos(pi/n) sin(10pi/n)/sin(pi/n) | 3
 6 |   2 |   9 |   5 |   10 | 5.530624392 = 2cos(pi/n) sin(12pi/n)/sin(pi/n) | 5
 7 |   2 |  13 |  15 |   30 | 1.956295201 = 2cos(pi/n) sin(14pi/n)/sin(pi/n) | 15
factors d_j (closed length / preclosed length): [15, 15, 5, 15, 3, 5, 15]
their greatest common divisor: 1  -> reduced factors: [15, 15, 5, 15, 3, 5, 15]
a reduced factor equals n: True
regular 21-gon, side 1; trajectories parallel to the side X_0 X_20; one trajectory in each strip
strip j lies between the diagonals X_{j-1}X_{n-j} and X_jX_{n-1-j}; start at 1/3 of the side X_{j-1}X_j, direction east
 j | segments of the simple preclosed part | rotation index s | order of s in Z/n | segments of the closed trajectory | preclosed length | closed length / preclosed length
 1 |   2 |   4 |  21 |   42 | 3.911145612 = 2cos(pi/n) sin(2pi/n)/sin(pi/n) | 21
 2 |   2 |   8 |  21 |   42 | 7.474768772 = 2cos(pi/n) sin(4pi/n)/sin(pi/n) | 21
 3 |   2 |  12 |   7 |   14 | 10.374225924 = 2cos(pi/n) sin(6pi/n)/sin(pi/n) | 7
 4 |   2 |  16 |  21 |   42 | 12.351887577 = 2cos(pi/n) sin(8pi/n)/sin(pi/n) | 21
 5 |   2 |  20 |  21 |   42 | 13.232029812 = 2cos(pi/n) sin(10pi/n)/sin(pi/n) | 21
 6 |   2 |   3 |   7 |   14 | 12.936448132 = 2cos(pi/n) sin(12pi/n)/sin(pi/n) | 7
 7 |   2 |   7 |   3 |    6 | 11.491406264 = 2cos(pi/n) sin(14pi/n)/sin(pi/n) | 3
 8 |   2 |  11 |  21 |   42 | 9.025302520 = 2cos(pi/n) sin(16pi/n)/sin(pi/n) | 21
 9 |   2 |  15 |   7 |   14 | 5.757261041 = 2cos(pi/n) sin(18pi/n)/sin(pi/n) | 7
10 |   2 |  19 |  21 |   42 | 1.977661652 = 2cos(pi/n) sin(20pi/n)/sin(pi/n) | 21
factors d_j (closed length / preclosed length): [21, 21, 7, 21, 21, 7, 3, 21, 7, 21]
their greatest common divisor: 1  -> reduced factors: [21, 21, 7, 21, 21, 7, 3, 21, 7, 21]
a reduced factor equals n: True
regular 25-gon, side 1; trajectories parallel to the side X_0 X_24; one trajectory in each strip
strip j lies between the diagonals X_{j-1}X_{n-j} and X_jX_{n-1-j}; start at 1/3 of the side X_{j-1}X_j, direction east
 j | segments of the simple preclosed part | rotation index s | order of s in Z/n | segments of the closed trajectory | preclosed length | closed length / preclosed length
 1 |   2 |   4 |  25 |   50 | 3.937166322 = 2cos(pi/n) sin(2pi/n)/sin(pi/n) | 25
 2 |   2 |   8 |  25 |   50 | 7.626946005 = 2cos(pi/n) sin(4pi/n)/sin(pi/n) | 25
 3 |   2 |  12 |  25 |   50 | 10.837496620 = 2cos(pi/n) sin(6pi/n)/sin(pi/n) | 25
 4 |   2 |  16 |  25 |   50 | 13.367087464 = 2cos(pi/n) sin(8pi/n)/sin(pi/n) | 25
 5 |   2 |  20 |   5 |   10 | 15.056775043 = 2cos(pi/n) sin(10pi/n)/sin(pi/n) | 5
 6 |   2 |  24 |  25 |   50 | 15.800390071 = 2cos(pi/n) sin(12pi/n)/sin(pi/n) | 25
 7 |   2 |   3 |  25 |   50 | 15.551208481 = 2cos(pi/n) sin(14pi/n)/sin(pi/n) | 25
 8 |   2 |   7 |  25 |   50 | 14.324887268 = 2cos(pi/n) sin(16pi/n)/sin(pi/n) | 25
 9 |   2 |  11 |  25 |   50 | 12.198480706 = 2cos(pi/n) sin(18pi/n)/sin(pi/n) | 25
10 |   2 |  15 |   5 |   10 | 9.305598738 = 2cos(pi/n) sin(20pi/n)/sin(pi/n) | 5
11 |   2 |  19 |  25 |   50 | 5.828011777 = 2cos(pi/n) sin(22pi/n)/sin(pi/n) | 25
12 |   2 |  23 |  25 |   50 | 1.984229403 = 2cos(pi/n) sin(24pi/n)/sin(pi/n) | 25
factors d_j (closed length / preclosed length): [25, 25, 25, 25, 5, 25, 25, 25, 25, 5, 25, 25]
their greatest common divisor: 5  -> reduced factors: [5, 5, 5, 5, 1, 5, 5, 5, 5, 1, 5, 5]
a reduced factor equals n: False
regular 27-gon, side 1; trajectories parallel to the side X_0 X_26; one trajectory in each strip
strip j lies between the diagonals X_{j-1}X_{n-j} and X_jX_{n-1-j}; start at 1/3 of the side X_{j-1}X_j, direction east
 j | segments of the simple preclosed part | rotation index s | order of s in Z/n | segments of the closed trajectory | preclosed length | closed length / preclosed length
 1 |   2 |   4 |  27 |   54 | 3.946089741 = 2cos(pi/n) sin(2pi/n)/sin(pi/n) | 27
 2 |   2 |   8 |  27 |   54 | 7.679444763 = 2cos(pi/n) sin(4pi/n)/sin(pi/n) | 27
 3 |   2 |  12 |   9 |   18 | 10.998798930 = 2cos(pi/n) sin(6pi/n)/sin(pi/n) | 9
 4 |   2 |  16 |  27 |   54 | 13.725204999 = 2cos(pi/n) sin(8pi/n)/sin(pi/n) | 27
 5 |   2 |  20 |  27 |   54 | 15.711681715 = 2cos(pi/n) sin(10pi/n)/sin(pi/n) | 27
 6 |   2 |  24 |   9 |   18 | 16.851137602 = 2cos(pi/n) sin(12pi/n)/sin(pi/n) | 9
 7 |   2 |   1 |  27 |   54 | 17.082144300 = 2cos(pi/n) sin(14pi/n)/sin(pi/n) | 27
 8 |   2 |   5 |  27 |   54 | 16.392248177 = 2cos(pi/n) sin(16pi/n)/sin(pi/n) | 27
 9 |   2 |   9 |   3 |    6 | 14.818641711 = 2cos(pi/n) sin(18pi/n)/sin(pi/n) | 3
10 |   2 |  13 |  27 |   54 | 12.446158436 = 2cos(pi/n) sin(20pi/n)/sin(pi/n) | 27
11 |   2 |  17 |  27 |   54 | 9.402699537 = 2cos(pi/n) sin(22pi/n)/sin(pi/n) | 27
12 |   2 |  21 |   9 |   18 | 5.852338673 = 2cos(pi/n) sin(24pi/n)/sin(pi/n) | 9
13 |   2 |  25 |  27 |   54 | 1.986476715 = 2cos(pi/n) sin(26pi/n)/sin(pi/n) | 27
factors d_j (closed length / preclosed length): [27, 27, 9, 27, 27, 9, 27, 27, 3, 27, 27, 9, 27]
their greatest common divisor: 3  -> reduced factors: [9, 9, 3, 9, 9, 3, 9, 9, 1, 9, 9, 3, 9]
a reduced factor equals n: False
regular 45-gon, side 1; trajectories parallel to the side X_0 X_44; one trajectory in each strip
strip j lies between the diagonals X_{j-1}X_{n-j} and X_jX_{n-1-j}; start at 1/3 of the side X_{j-1}X_j, direction east
 j | segments of the simple preclosed part | rotation index s | order of s in Z/n | segments of the closed trajectory | preclosed length | closed length / preclosed length
 1 |   2 |   4 |  45 |   90 | 3.980536137 = 2cos(pi/n) sin(2pi/n)/sin(pi/n) | 45
 2 |   2 |   8 |  45 |   90 | 7.883595667 = 2cos(pi/n) sin(4pi/n)/sin(pi/n) | 45
 3 |   2 |  12 |  15 |   30 | 11.633209974 = 2cos(pi/n) sin(6pi/n)/sin(pi/n) | 15
 4 |   2 |  16 |  45 |   90 | 15.156397082 = 2cos(pi/n) sin(8pi/n)/sin(pi/n) | 45
 5 |   2 |  20 |   9 |   18 | 18.384582160 = 2cos(pi/n) sin(10pi/n)/sin(pi/n) | 9
 6 |   2 |  24 |  15 |   30 | 21.254932259 = 2cos(pi/n) sin(12pi/n)/sin(pi/n) | 15
 7 |   2 |  28 |  45 |   90 | 23.711579279 = 2cos(pi/n) sin(14pi/n)/sin(pi/n) | 45
 8 |   2 |  32 |  45 |   90 | 25.706707379 = 2cos(pi/n) sin(16pi/n)/sin(pi/n) | 45
 9 |   2 |  36 |   5 |   10 | 27.201483662 = 2cos(pi/n) sin(18pi/n)/sin(pi/n) | 5
10 |   2 |  40 |   9 |   18 | 28.166814006 = 2cos(pi/n) sin(20pi/n)/sin(pi/n) | 9
11 |   2 |  44 |  45 |   90 | 28.583909354 = 2cos(pi/n) sin(22pi/n)/sin(pi/n) | 45
12 |   2 |   3 |  15 |   30 | 28.444651421 = 2cos(pi/n) sin(24pi/n)/sin(pi/n) | 15
13 |   2 |   7 |  45 |   90 | 27.751750704 = 2cos(pi/n) sin(26pi/n)/sin(pi/n) | 45
14 |   2 |  11 |  45 |   90 | 26.518693726 = 2cos(pi/n) sin(28pi/n)/sin(pi/n) | 45
15 |   2 |  15 |   3 |    6 | 24.769480539 = 2cos(pi/n) sin(30pi/n)/sin(pi/n) | 3
16 |   2 |  19 |  45 |   90 | 22.538157588 = 2cos(pi/n) sin(32pi/n)/sin(pi/n) | 45
17 |   2 |  23 |  45 |   90 | 19.868155037 = 2cos(pi/n) sin(34pi/n)/sin(pi/n) | 45
18 |   2 |  27 |   5 |   10 | 16.811441447 = 2cos(pi/n) sin(36pi/n)/sin(pi/n) | 5
19 |   2 |  31 |  45 |   90 | 13.427512273 = 2cos(pi/n) sin(38pi/n)/sin(pi/n) | 45
20 |   2 |  35 |   9 |   18 | 9.782231846 = 2cos(pi/n) sin(40pi/n)/sin(pi/n) | 9
21 |   2 |  39 |  15 |   30 | 5.946551403 = 2cos(pi/n) sin(42pi/n)/sin(pi/n) | 15
22 |   2 |  43 |  45 |   90 | 1.995128101 = 2cos(pi/n) sin(44pi/n)/sin(pi/n) | 45
factors d_j (closed length / preclosed length): [45, 45, 15, 45, 9, 15, 45, 45, 5, 9, 45, 15, 45, 45, 3, 45, 45, 5, 45, 9, 15, 45]
their greatest common divisor: 1  -> reduced factors: [45, 45, 15, 45, 9, 15, 45, 45, 5, 9, 45, 15, 45, 45, 3, 45, 45, 5, 45, 9, 15, 45]
a reduced factor equals n: True
