U-tiling: UQC2212
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1733 |
*22222 |
(2,6,4) |
{8,3} |
{4.3.4.4.4.4.3.4}{3.4.4} |
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
|
True
|
|
sqc9380
|
|
P4/mmm |
123 |
tetragonal |
{3,7} |
16 |
(2,6) |
|
G
|
False
|
|
sqc10136
|
|
I4122 |
98 |
tetragonal |
{3,8} |
16 |
(2,7) |
|
D
|
False
|
|
sqc4112
|
|
P4222 |
93 |
tetragonal |
{3,8} |
8 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.3.4.4.4.4.3.4}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<63.3:176:23 4 5 28 29 19 108 109 55 34 15 16 39 40 86 87 66 26 27 41 130 131 77 37 38 119 120 99 67 48 49 72 73 85 152 153 89 59 60 94 95 107 141 142 70 71 118 174 175 111 81 82 116 117 143 92 93 129 163 164 122 103 104 127 128 154 114 115 165 125 126 176 155 136 137 160 161 151 166 147 148 171 172 158 159 173 169 170,2 102 6 9 8 11 13 80 17 20 19 22 24 124 28 31 30 33 35 113 39 42 41 44 46 146 50 53 52 55 57 135 61 64 63 66 68 168 72 75 74 77 79 83 86 85 88 90 157 94 97 96 99 101 105 108 107 110 112 116 119 118 121 123 127 130 129 132 134 138 141 140 143 145 149 152 151 154 156 160 163 162 165 167 171 174 173 176,100 3 5 7 30 10 33 78 14 16 18 41 21 44 122 25 27 29 32 111 36 38 40 43 144 47 49 51 74 54 77 133 58 60 62 96 65 99 166 69 71 73 76 80 82 84 118 87 121 155 91 93 95 98 102 104 106 129 109 132 113 115 117 120 124 126 128 131 135 137 139 162 142 165 146 148 150 173 153 176 157 159 161 164 168 170 172 175:4 3 4 4 4 3 4 3 4 3 4 4 3 4 4 3 4 3 4 3 4 4 4 4,3 8 3 8 3 3 3 8 3 8 3 8 3 8 8 8> {(2, 161): 'tau2*t3', (2, 22): 't1^-1', (1, 123): 't1', (0, 51): 't3', (0, 60): 't2*tau3^-1', (2, 175): 't1^-1*tau3^-1*t2', (2, 84): 't3^-1*tau2^-1', (0, 95): 'tau3', (0, 117): 'tau2', (0, 62): 't2', (0, 43): 't1', (2, 154): 't1', (0, 55): 't2*tau3^-1', (0, 160): 't1*tau3*t2^-1', (2, 43): 't1', (0, 150): 'tau1', (0, 162): 't1', (0, 175): 't1^-1', (2, 131): 'tau3^-1*t2', (2, 172): 't1^-1*tau3^-1*t2', (2, 87): 't3^-1*tau2^-1', (0, 154): 't1*tau3*t2^-1', (0, 61): 't2*tau3^-1', (0, 28): 't1^-1', (0, 137): 't2*tau3^-1*t1^-1', (0, 50): 't3*tau2', (0, 40): 't1', (0, 149): 't3*tau2', (0, 30): 't1^-1', (0, 161): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 170): 'tau2^-1*t3^-1', (2, 164): 'tau2*t3', (0, 0): 't1', (0, 163): 't1', (0, 44): 't3*tau2', (1, 156): 't1', (0, 130): 't1', (0, 165): 'tau2^-1*t3^-1', (2, 40): 't1', (0, 27): 't1^-1', (0, 49): 't3*tau2', (2, 106): 't2^-1*tau3', }