# double_hex.poly # # Discussion: # # This file describes a rectangular region with two hexagonal holes. # It describes a problem provided by Jeff Borggaard of Virginia Tech. # # The entire region is a subset of the unit square. # # There area 96 nodes, 72 on the outer boundary and 12 on each of # the two hexagons. # # Modified: # # 10 December 2003 # # # Declare 96 vertices, 2 dimensions, 0 attributes, 1 boundary markers. # 96 2 0 1 # # List the vertices by index, x, y, and boundary marker. # 1 0.0000 0.0000 1 2 0.0556 0.0000 1 3 0.1111 0.0000 1 4 0.1667 0.0000 1 5 0.2222 0.0000 1 6 0.2778 0.0000 1 7 0.3333 0.0000 1 8 0.3889 0.0000 1 9 0.4444 0.0000 1 10 0.5000 0.0000 1 11 0.5556 0.0000 1 12 0.6111 0.0000 1 13 0.6667 0.0000 1 14 0.7222 0.0000 1 15 0.7778 0.0000 1 16 0.8333 0.0000 1 17 0.8889 0.0000 1 18 0.9444 0.0000 1 19 1.0000 0.0000 1 20 1.0000 0.0556 1 21 1.0000 0.1111 1 22 1.0000 0.1667 1 23 1.0000 0.2222 1 24 1.0000 0.2778 1 25 1.0000 0.3333 1 26 1.0000 0.3889 1 27 1.0000 0.4444 1 28 1.0000 0.5000 1 29 1.0000 0.5556 1 30 1.0000 0.6111 1 31 1.0000 0.6667 1 32 1.0000 0.7222 1 33 1.0000 0.7778 1 34 1.0000 0.8333 1 35 1.0000 0.8889 1 36 1.0000 0.9444 1 37 1.0000 1.0000 1 38 0.9444 1.0000 1 39 0.8889 1.0000 1 40 0.8333 1.0000 1 41 0.7778 1.0000 1 42 0.7222 1.0000 1 43 0.6667 1.0000 1 44 0.6111 1.0000 1 45 0.5556 1.0000 1 46 0.5000 1.0000 1 47 0.4444 1.0000 1 48 0.3889 1.0000 1 49 0.3333 1.0000 1 50 0.2778 1.0000 1 51 0.2222 1.0000 1 52 0.1667 1.0000 1 53 0.1111 1.0000 1 54 0.0556 1.0000 1 55 0.0000 1.0000 1 56 0.0000 0.9444 1 57 0.0000 0.8889 1 58 0.0000 0.8333 1 59 0.0000 0.7778 1 60 0.0000 0.7222 1 61 0.0000 0.6667 1 62 0.0000 0.6111 1 63 0.0000 0.5556 1 64 0.0000 0.5000 1 65 0.0000 0.4444 1 66 0.0000 0.3889 1 67 0.0000 0.3333 1 68 0.0000 0.2778 1 69 0.0000 0.2222 1 70 0.0000 0.1667 1 71 0.0000 0.1111 1 72 0.0000 0.0556 1 # # Points around hexagonal hole 1. # 73 0.1500 0.7500 2 74 0.1752 0.7067 2 75 0.2003 0.6634 2 76 0.2503 0.6637 2 77 0.3002 0.6640 2 78 0.3251 0.7070 2 79 0.3500 0.7500 2 80 0.3251 0.7930 2 81 0.3002 0.8360 2 82 0.2503 0.8363 2 83 0.2003 0.8366 2 84 0.1752 0.7933 2 # # Points around hexagonal hole 2. # 85 0.5000 0.4000 3 86 0.5252 0.3567 3 87 0.5503 0.3134 3 88 0.6003 0.3137 3 89 0.6502 0.3140 3 90 0.6751 0.3570 3 91 0.7000 0.4000 3 92 0.6751 0.4430 3 93 0.6502 0.4860 3 94 0.6003 0.4863 3 95 0.5503 0.4866 3 96 0.5252 0.4433 3 # # Declare the number of segments and the number of boundary markers. # 96 1 # # List the segments by index, start and end node, and boundary marker. # # Segment 1 # I list these segments in counterclockwise order, but this is not required. # 1 1 2 1 2 2 3 1 3 3 4 1 4 4 5 1 5 5 6 1 6 6 7 1 7 7 8 1 8 8 9 1 9 9 10 1 10 10 11 1 11 11 12 1 12 12 13 1 13 13 14 1 14 14 15 1 15 15 16 1 16 16 17 1 17 17 18 1 18 18 19 1 19 19 20 1 20 20 21 1 21 21 22 1 22 22 23 1 23 23 24 1 24 24 25 1 25 25 26 1 26 26 27 1 27 27 28 1 28 28 29 1 29 29 30 1 30 30 31 1 31 31 32 1 32 32 33 1 33 33 34 1 34 34 35 1 35 35 36 1 36 36 37 1 37 37 38 1 38 38 39 1 39 39 40 1 40 40 41 1 41 41 42 1 42 42 43 1 43 43 44 1 44 44 45 1 45 45 46 1 46 46 47 1 47 47 48 1 48 48 49 1 49 49 50 1 50 50 51 1 51 51 52 1 52 52 53 1 53 53 54 1 54 54 55 1 55 55 56 1 56 56 57 1 57 57 58 1 58 58 59 1 59 59 60 1 60 60 61 1 61 61 62 1 62 62 63 1 63 63 64 1 64 64 65 1 65 65 66 1 66 66 67 1 67 67 68 1 68 68 69 1 69 69 70 1 70 70 71 1 71 71 72 1 72 72 1 1 # # Segment 2 around the first hexagonal hole. # I give the holes a clockwise ordering, but this is not required. # 73 73 84 2 74 84 83 2 75 83 82 2 76 82 81 2 77 81 80 2 78 80 79 2 79 79 78 2 80 78 77 2 81 77 76 2 82 76 75 2 83 75 74 2 84 74 73 2 # # Segment 3 around the second hexagonal hole. # 85 85 96 3 86 96 95 3 87 95 94 3 88 94 93 3 89 93 92 3 90 92 91 3 91 91 90 3 92 90 89 3 93 89 88 3 94 88 87 3 95 87 86 3 96 86 85 3 # # Declare the number of holes. # 2 # # Define a hole by giving the coordinates of one point inside it. # 1 0.2500 0.7500 2 0.6000 0.4000