SEPARATING POINTS Please view this file in a non-proportional font such as Lucida Console. The (x, y) coordinates of the points of light projected over the array of photosensitive cells, and the number of point/cell matches for each point. There are 167 points superposed on the mesh with 15 x 23 cells. The cells are square of size 1 x 1. There is a total of 345 cells. The cells are placed in rows, with their sides parallel to axes x, y. The centers of the cells are shifted by 0.5 units in the x, y directions. A point/cell match happens when a point is in a cell, or when it is on any of the cell's edges, or on any of the cell's vertices. A cell can contain 0 or more points. Every point matches at least 1 cell. Because of the overlap, a point can match as many as 9 different cells. There are 15 columns of cells numbered left-to-right 0 to 14. There are 23 rows of cells numbered bottom-to-top 0 to 22. The points, the cells, and the matches become the elements of the causal set, for a total of 1433 elements. The total number of matches is 921. The following table gives the x,y coordinates of each point and the number of cells matched by that point, for each one of the 167 points. point X Y matches 0 0.50 0.30 6 1 1.50 0.30 6 2 2.50 0.60 6 3 1.00 0.60 6 4 1.50 0.80 6 5 2.00 0.70 6 6 0.30 1.00 6 7 0.50 1.00 9 8 1.10 1.00 6 9 2.00 1.00 9 10 2.50 0.90 6 11 2.80 1.00 6 12 1.80 1.20 4 13 1.20 1.30 4 14 0.10 1.40 4 15 1.60 1.50 6 16 2.50 1.60 6 17 0.70 0.70 4 18 1.00 1.00 9 19 1.80 1.80 4 20 1.80 2.00 6 21 0.50 2.10 6 22 1.30 2.20 4 23 0.50 2.40 6 24 1.00 2.30 6 25 1.50 2.40 6 26 0.20 2.60 4 27 0.50 2.90 6 28 0.80 2.70 4 29 5.30 2.10 4 30 5.70 2.10 4 31 4.30 2.30 4 32 4.30 2.50 6 33 4.80 2.50 6 34 3.20 3.10 4 35 4.00 2.80 6 36 5.70 2.70 4 37 5.40 3.00 6 38 6.00 3.00 9 39 4.40 3.10 4 40 3.50 3.20 6 41 2.60 3.60 4 42 3.00 3.30 6 43 3.70 3.40 4 44 4.70 3.40 4 45 5.80 3.50 6 46 2.20 3.70 4 47 2.70 3.70 4 48 3.30 3.70 4 49 4.20 3.70 4 50 4.80 3.70 4 51 1.70 4.00 6 52 5.20 4.00 6 53 2.00 4.30 6 54 3.00 4.20 6 55 4.00 4.30 6 56 4.70 4.20 4 57 0.80 4.50 6 58 1.30 4.50 6 59 2.50 4.50 9 60 3.10 4.50 6 61 3.60 4.50 6 62 4.40 4.50 6 63 1.00 4.80 6 64 1.70 4.70 4 65 2.20 4.80 4 66 3.90 4.70 4 67 3.20 4.90 4 68 1.60 5.00 6 69 3.50 5.00 9 70 2.60 5.20 4 71 3.00 5.20 6 72 1.10 5.60 4 73 1.50 5.50 9 74 2.20 5.50 6 75 2.70 5.60 4 76 3.30 5.50 6 77 1.80 5.80 4 78 2.50 6.00 9 79 1.00 6.10 6 80 1.40 6.10 4 81 1.80 6.20 4 82 2.50 6.40 6 83 0.90 6.50 6 84 2.00 6.50 9 85 1.30 6.80 4 86 2.90 6.70 4 87 1.50 7.00 9 88 2.90 7.20 4 89 1.50 7.30 6 90 2.50 7.30 6 91 1.80 7.50 6 92 2.30 7.50 6 93 2.60 7.60 4 94 1.50 7.70 6 95 1.70 7.90 4 96 1.50 8.00 9 97 2.20 8.00 6 98 2.70 8.00 6 99 1.70 8.20 4 100 2.50 8.50 9 101 3.20 8.50 6 102 3.60 8.40 4 103 2.00 8.70 6 104 5.50 8.70 6 105 3.00 8.80 6 106 3.60 8.70 4 107 5.70 8.80 4 108 2.50 9.00 9 109 5.30 9.00 6 110 6.50 9.00 9 111 3.00 9.30 6 112 3.70 9.20 4 113 4.20 9.20 4 114 4.50 9.10 6 115 5.00 9.20 6 116 5.50 9.30 6 117 5.80 9.30 4 118 4.50 9.50 9 119 5.70 9.50 6 120 6.40 9.50 6 121 3.00 9.60 6 122 5.00 9.60 6 123 4.00 9.70 6 124 4.80 9.70 4 125 6.00 9.70 6 126 3.30 9.80 4 127 3.70 10.00 6 128 4.30 10.00 6 129 5.30 10.00 6 130 6.00 10.10 6 131 3.10 10.10 4 132 5.80 10.50 6 133 6.30 4.50 6 134 6.10 4.90 4 135 6.30 5.10 4 136 5.70 5.20 4 137 6.50 5.20 6 138 5.20 5.60 4 139 6.30 5.50 6 140 6.00 5.60 6 141 4.60 5.70 4 142 5.10 5.90 4 143 5.50 5.70 6 144 4.60 6.10 4 145 5.50 5.90 6 146 6.40 6.30 4 147 5.20 6.10 4 148 5.70 6.20 4 149 4.70 6.30 4 150 6.00 6.40 6 151 4.10 6.50 6 152 5.00 6.50 9 153 6.40 6.50 6 154 5.60 6.60 4 155 4.50 6.70 6 156 5.30 6.80 4 157 6.20 6.80 4 158 4.50 7.00 9 159 4.70 7.00 6 160 5.80 7.00 6 161 4.20 7.10 4 162 5.30 7.30 4 163 4.70 7.40 4 164 6.00 7.40 6 165 4.10 7.40 4 166 5.50 7.40 6 The following table gives the number of points matching each cell, range 0 to 9. The headers in the left column identify rows. The headers in the top line identify columns. | 1 1 1 1 1 | 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 ___|______________________________ 22 | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 21 | 0 0 0 0 0 0 1 2 2 1 1 3 2 1 0 20 | 0 0 0 0 0 1 3 5 4 5 4 6 5 3 0 19 | 0 0 0 0 1 3 4 6 7 8 8 8 6 3 1 18 | 0 0 0 1 3 5 5 5 5 4 6 7 7 2 1 17 | 0 0 1 3 6 6 5 4 2 0 2 3 3 1 1 16 | 0 0 2 5 8 5 4 2 1 0 0 0 0 0 0 15 | 0 0 4 6 9 6 4 0 3 5 5 4 3 1 0 14 | 0 1 4 5 6 5 3 0 5 8 8 7 6 3 0 13 | 0 2 5 6 5 4 3 0 3 7 8 7 7 4 0 12 | 0 2 5 7 7 5 4 1 1 5 9 9 8 5 0 11 | 0 0 2 4 5 5 6 3 1 1 5 6 7 4 1 10 | 0 2 4 5 6 5 7 7 4 1 0 1 6 5 1 9 | 0 2 3 6 6 4 5 7 5 3 2 1 2 2 0 8 | 0 1 2 3 4 6 6 5 4 5 3 2 2 1 0 7 | 0 0 0 1 2 4 6 5 4 4 4 4 2 1 0 6 | 2 3 2 0 0 1 3 5 5 5 3 4 3 1 0 5 | 4 6 7 4 2 0 0 1 3 4 3 5 3 1 0 4 | 2 3 5 6 5 1 1 0 2 3 2 2 1 0 0 3 | 3 4 4 8 6 3 2 0 0 0 0 0 0 0 0 2 | 3 6 7 9 7 5 3 0 0 0 0 0 0 0 0 1 | 3 6 8 7 6 5 3 0 0 0 0 0 0 0 0 0 | 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0