U-tiling: UQC2076
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1672 |
*22222 |
(2,6,4) |
{8,3} |
{4.4.4.3.3.4.4.4}{4.4.3} |
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) |
|
P
|
False
|
|
sqc10205
|
|
P4/mmm |
123 |
tetragonal |
{8,3} |
16 |
(2,6) |
|
G
|
False
|
|
sqc10209
|
|
I4122 |
98 |
tetragonal |
{8,3} |
16 |
(2,7) |
|
D
|
False
|
|
sqc4368
|
|
P4222 |
93 |
tetragonal |
{8,3} |
8 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.4.3.3.4.4.4}{4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<62.5:176:23 4 5 50 51 52 108 109 33 34 15 16 61 62 63 86 87 44 26 27 72 73 74 130 131 37 38 94 95 96 119 120 67 48 49 152 153 77 89 59 60 141 142 99 70 71 174 175 111 81 82 138 139 140 121 92 93 163 164 122 103 104 149 150 151 132 114 115 160 161 162 125 126 171 172 173 155 136 137 165 166 147 148 176 158 159 169 170,2 7 26 6 9 11 13 18 37 17 20 22 24 29 28 31 33 35 40 39 42 44 46 51 70 50 53 55 57 62 92 61 64 66 68 73 72 75 77 79 84 114 83 86 88 90 95 94 97 99 101 106 125 105 108 110 112 117 116 119 121 123 128 127 130 132 134 139 158 138 141 143 145 150 169 149 152 154 156 161 160 163 165 167 172 171 174 176,12 3 5 28 8 10 22 14 16 39 19 21 34 25 27 30 32 44 36 38 41 43 78 47 49 72 52 54 88 100 58 60 94 63 65 110 111 69 71 74 76 121 80 82 116 85 87 122 91 93 96 98 132 102 104 127 107 109 113 115 118 120 124 126 129 131 144 135 137 160 140 142 154 146 148 171 151 153 166 157 159 162 164 176 168 170 173 175:3 4 4 4 3 4 4 4 4 4 4 4 3 4 3 4 3 4 3 4 4 4 3 3,8 3 3 8 8 3 8 3 8 3 8 3 8 3 3 8> {(2, 175): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 142): 'tau1^-1', (2, 109): 't2^-1', (0, 129): 't1', (2, 43): 't1', (1, 157): 'tau2*t3', (2, 44): 't3', (2, 98): 'tau3', (0, 154): 'tau2*t3', (0, 163): 't1', (0, 130): 't1', (2, 55): 't2', (0, 39): 't1', (0, 171): 't1^-1', (0, 32): 't1^-1', (0, 164): 't1*tau3*t2^-1', (2, 121): 'tau3^-1', (0, 40): 't1', (0, 54): 't3*tau2', (0, 172): 't1^-1', (2, 159): 'tau2*t3', (2, 126): 'tau3^-1*t2', (0, 110): 'tau2*t3', (2, 115): 'tau2*t3', (0, 121): 'tau3^-1*t2', (0, 162): 't1', (2, 54): 't3', (0, 38): 't1', (2, 143): 'tau1', (2, 110): 'tau2', (1, 113): 'tau2*t3', (1, 36): 't1', (0, 170): 't1^-1', (2, 165): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 33): 't1', (2, 120): 'tau2', (2, 38): 't1', (1, 168): 't1^-1*tau3^-1*t2', (1, 124): 'tau3^-1*t2', (0, 98): 'tau3*t2^-1', (0, 175): 'tau2^-1*t3^-1', (0, 33): 't1', (2, 170): 't1^-1*tau3^-1*t2', (0, 165): 't1^-1*tau3^-1*t2', }