U-tiling: UQC4828
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc1772.jpg) |
hqc1772 |
*22222 |
(4,6,2) |
{4,3,4,4} |
{3.8.8.3}{3.8.8}{8.8.8.8}{8.8.8.8} |
s-nets
3 records listed.
Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
P
|
False
|
|
sqc658
|
|
Pmmm |
47 |
orthorhombic |
{4,3,4,4} |
6 |
(4,6) |
G
|
False
|
|
sqc10585
|
|
Fddd |
70 |
orthorhombic |
{4,3,4,4} |
24 |
(4,7) |
D
|
False
|
|
sqc4639
|
|
Cmma |
67 |
orthorhombic |
{4,3,4,4} |
12 |
(4,6) |
Topological data
Vertex degrees | {4,3,4,4} |
2D vertex symbol | {3.8.8.3}{3.8.8}{8.8.8.8}{8.8.8.8} |
Dual tiling | ![Tiling details](/u_net_small_images/s22222b_FSGG_63_3_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<63.3:176:89 3 5 7 30 10 33 111 14 16 18 41 21 44 133 25 27 29 32 155 36 38 40 43 122 47 49 51 74 54 77 100 58 60 62 85 65 88 166 69 71 73 76 144 80 82 84 87 91 93 95 140 98 143 102 104 106 151 109 154 113 115 117 162 120 165 124 126 128 173 131 176 135 137 139 142 146 148 150 153 157 159 161 164 168 170 172 175,2 91 6 9 8 11 13 113 17 20 19 22 24 135 28 31 30 33 35 157 39 42 41 44 46 124 50 53 52 55 57 102 61 64 63 66 68 168 72 75 74 77 79 146 83 86 85 88 90 94 97 96 99 101 105 108 107 110 112 116 119 118 121 123 127 130 129 132 134 138 141 140 143 145 149 152 151 154 156 160 163 162 165 167 171 174 173 176,45 4 5 50 51 19 97 98 110 56 15 16 61 62 119 120 132 67 26 27 72 73 41 141 142 154 78 37 38 83 84 163 164 176 48 49 63 130 131 121 59 60 108 109 99 70 71 85 174 175 165 81 82 152 153 143 122 92 93 127 128 118 111 103 104 116 117 129 114 115 125 126 166 136 137 171 172 162 155 147 148 160 161 173 158 159 169 170:3 8 3 8 3 3 3 8 3 8 3 3 8 8 8 8,4 3 4 4 4 3 4 4 3 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4> {(2, 54): 't2^-1', (2, 172): 't2*tau1*t3^-1', (2, 173): 'tau3', (2, 174): 'tau3', (2, 170): 'tau3*t1*tau2^-1', (2, 171): 'tau3*t1*tau2^-1', (2, 165): 'tau3*t1*tau2^-1', (2, 38): 't1^-1', (0, 33): 'tau3', (2, 160): 'tau3^-1*t1^-1*tau2', (2, 161): 't2^-1*tau1^-1*t3', (2, 162): 'tau3^-1', (2, 163): 'tau3^-1', (2, 159): 'tau3^-1*t1^-1*tau2', (2, 152): 'tau2^-1', (2, 154): 'tau3^-1*t1^-1*tau2', (2, 27): 't1^-1', (2, 22): 't1^-1', (2, 151): 'tau2^-1', (0, 22): 'tau2^-1', (2, 33): 't1^-1', (2, 140): 'tau2', (2, 141): 'tau2', (1, 79): 'tau2', (0, 131): 't2^-1', (0, 128): 't2^-1', (2, 128): 'tau1', (1, 68): 'tau3^-1', (2, 131): 't2^-1', (0, 120): 't2', (2, 39): 't1^-1', (2, 10): 't3', (2, 117): 'tau1^-1', (0, 117): 't2', (0, 106): 't3^-1', (0, 109): 't3^-1', (0, 98): 't3', (1, 35): 'tau3', (1, 24): 'tau2^-1', (0, 95): 't3', (2, 72): 't1', (0, 77): 'tau2', (0, 66): 'tau3^-1', (2, 65): 't3^-1'}