U-tiling: UQC2103
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1690 |
*22222 |
(2,6,4) |
{6,5} |
{4.3.4.4.3.4}{3.4.4.4.4} |
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
|
|
sqc4275
|
|
Fmmm |
69 |
orthorhombic |
{5,6} |
8 |
(2,6) |
G
|
False
|
|
sqc10422
|
|
Fddd |
70 |
orthorhombic |
{5,6} |
16 |
(2,7) |
D
|
False
|
|
sqc4412
|
|
Cmma |
67 |
orthorhombic |
{5,6} |
8 |
(2,6) |
Topological data
Vertex degrees | {6,5} |
2D vertex symbol | {4.3.4.4.3.4}{3.4.4.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<64.4:176:12 24 25 6 7 30 53 54 99 35 36 17 18 41 64 65 121 34 28 29 75 76 143 39 40 86 87 165 56 68 69 50 51 74 132 79 80 61 62 85 110 78 72 73 176 83 84 154 111 134 135 94 95 140 130 131 122 145 146 105 106 151 119 120 156 157 116 117 162 167 168 127 128 173 155 138 139 174 175 166 149 150 163 164 160 161 171 172,2 4 49 8 9 11 13 15 60 19 20 22 24 26 71 30 31 33 35 37 82 41 42 44 46 48 52 53 55 57 59 63 64 66 68 70 74 75 77 79 81 85 86 88 90 92 126 96 97 99 101 103 115 107 108 110 112 114 118 119 121 123 125 129 130 132 134 136 170 140 141 143 145 147 159 151 152 154 156 158 162 163 165 167 169 173 174 176,45 3 5 7 107 10 110 56 14 16 18 129 21 132 67 25 27 29 151 32 154 78 36 38 40 173 43 176 47 49 51 118 54 121 58 60 62 96 65 99 69 71 73 162 76 165 80 82 84 140 87 143 122 91 93 95 98 111 102 104 106 109 113 115 117 120 124 126 128 131 166 135 137 139 142 155 146 148 150 153 157 159 161 164 168 170 172 175:4 4 3 4 4 3 4 3 4 3 4 4 4 4 4 4 3 4 4 3 4 4 3 3,5 6 5 6 5 6 5 6 6 6 6 6 5 5 5 5> {(0, 41): 't1^-1', (2, 7): 't3', (1, 37): 't1^-1', (0, 173): 'tau3*t1*tau2^-1', (2, 10): 't3', (2, 98): 't3', (0, 154): 't2^-1*tau1^-1*t3', (0, 166): 't2', (0, 30): 't1^-1', (0, 42): 't1^-1', (0, 163): 'tau3^-1*t1^-1*tau2', (1, 169): 'tau3*t1*tau2^-1', (0, 174): 'tau3*t1*tau2^-1', (2, 22): 't1^-1', (1, 70): 't1', (0, 164): 'tau3^-1', (2, 154): 'tau3^-1*t1^-1*tau2', (0, 161): 't2^-1', (0, 172): 't2', (0, 110): 'tau1^-1', (1, 158): 'tau3^-1*t1^-1*tau2', (0, 167): 't2', (0, 150): 't3', (0, 121): 'tau1', (0, 162): 'tau3^-1*t1^-1*tau2', (0, 133): 't3^-1', (0, 100): 't3^-1', (2, 54): 't2^-1', (2, 21): 't2', (2, 165): 'tau3*t1*tau2^-1', (2, 62): 't3^-1', (0, 155): 't2^-1', (2, 33): 't1^-1', (0, 134): 't3^-1', (0, 31): 't1^-1', (2, 51): 't2^-1', (2, 18): 't2', (0, 175): 'tau3', (0, 142): 'tau2', (0, 145): 't3', (0, 156): 't2^-1', (0, 139): 't3^-1', (0, 153): 'tau2^-1', (0, 165): 't2*tau1*t3^-1', }