U-tiling: UQC2049
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1667 |
*22222 |
(2,6,4) |
{7,4} |
{4.4.4.3.4.4.4}{4.4.3.3} |
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) |
|
G
|
False
|
|
sqc10139
|
|
I4122 |
98 |
tetragonal |
{7,4} |
16 |
(2,7) |
|
D
|
False
|
|
sqc4120
|
|
P4222 |
93 |
tetragonal |
{7,4} |
8 |
(2,6) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {4.4.4.3.4.4.4}{4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<66.4:176:12 24 25 48 49 8 9 54 33 35 36 59 60 19 20 65 44 34 70 71 30 31 76 92 93 41 42 98 78 68 69 52 53 77 100 90 91 63 64 99 111 74 75 112 113 136 137 85 86 142 121 122 96 97 123 124 147 148 107 108 153 132 158 159 118 119 164 169 170 129 130 175 144 156 157 140 141 165 167 168 151 152 176 166 162 163 173 174,2 4 6 29 10 11 13 15 17 40 21 22 24 26 28 32 33 35 37 39 43 44 46 48 50 73 54 55 57 59 61 95 65 66 68 70 72 76 77 79 81 83 117 87 88 90 92 94 98 99 101 103 105 128 109 110 112 114 116 120 121 123 125 127 131 132 134 136 138 161 142 143 145 147 149 172 153 154 156 158 160 164 165 167 169 171 175 176,23 3 5 7 9 109 110 34 14 16 18 20 87 88 25 27 29 31 131 132 36 38 40 42 120 121 67 47 49 51 53 153 154 89 58 60 62 64 142 143 69 71 73 75 175 176 111 80 82 84 86 91 93 95 97 164 165 122 102 104 106 108 113 115 117 119 124 126 128 130 155 135 137 139 141 166 146 148 150 152 157 159 161 163 168 170 172 174:4 4 4 3 4 4 3 4 4 4 3 4 3 4 4 3 4 4 3 4 4 4 3 3,7 4 7 4 4 4 7 4 7 4 4 7 4 7 7 7> {(0, 167): 't1^-1*tau3^-1*t2', (2, 22): 't1^-1', (0, 37): 't1', (0, 169): 't1^-1', (1, 160): 't1*tau3*t2^-1', (1, 28): 't1^-1', (0, 101): 't2^-1*tau3', (1, 171): 'tau2^-1*t3^-1', (0, 55): 't2', (0, 32): 't1^-1', (2, 32): 't1^-1', (0, 121): 'tau3^-1', (0, 34): 't1', (0, 175): 'tau2^-1*t3^-1', (0, 79): 't3^-1*tau2^-1', (2, 44): 't3*tau2', (0, 164): 't1*tau3*t2^-1', (0, 111): 'tau2*t3', (2, 154): 't1*tau3*t2^-1', (2, 97): 't1^-1', (0, 36): 't1', (0, 156): 'tau2*t3', (2, 143): 't3*tau2', (0, 98): 'tau3*t2^-1', (0, 168): 't1^-1', (2, 98): 't1^-1', (0, 33): 't1', (0, 42): 't1', (0, 166): 't1^-1*tau3^-1*t2', (1, 72): 'tau2^-1*t3^-1', (0, 54): 't3*tau2', (0, 35): 't1', (0, 44): 't3', (2, 31): 't1^-1', (0, 66): 'tau2^-1', (0, 143): 'tau1', (1, 61): 't2*tau3^-1', (0, 165): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 174): 't1^-1', (0, 155): 'tau2*t3', (2, 55): 't2*tau3^-1', (0, 122): 'tau3^-1*t2', }