U-tiling: UQC1993
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1636 |
*22222 |
(2,5,4) |
{4,3} |
{4.8.6.4}{6.8.8} |
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
|
|
sqc4674
|
|
P4/mmm |
123 |
tetragonal |
{4,3} |
12 |
(2,4) |
|
G
|
False
|
|
sqc10617
|
|
I4122 |
98 |
tetragonal |
{3,4,4} |
24 |
(3,6) |
|
D
|
False
|
|
sqc4658
|
|
P4222 |
93 |
tetragonal |
{4,3} |
12 |
(2,5) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {4.8.6.4}{6.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.4:176:12 4 5 28 29 52 53 109 110 15 16 39 40 63 64 87 88 34 26 27 74 75 131 132 37 38 96 97 120 121 78 48 49 72 73 153 154 100 59 60 94 95 142 143 111 70 71 175 176 81 82 116 117 140 141 122 92 93 164 165 103 104 127 128 151 152 114 115 162 163 125 126 173 174 144 136 137 160 161 147 148 171 172 166 158 159 169 170,2 25 6 11 8 10 13 36 17 22 19 21 24 28 33 30 32 35 39 44 41 43 46 69 50 55 52 54 57 91 61 66 63 65 68 72 77 74 76 79 113 83 88 85 87 90 94 99 96 98 101 124 105 110 107 109 112 116 121 118 120 123 127 132 129 131 134 157 138 143 140 142 145 168 149 154 151 153 156 160 165 162 164 167 171 176 173 175,23 3 5 7 9 11 34 14 16 18 20 22 25 27 29 31 33 36 38 40 42 44 67 47 49 51 53 55 89 58 60 62 64 66 69 71 73 75 77 111 80 82 84 86 88 91 93 95 97 99 122 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 155 135 137 139 141 143 166 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:8 6 4 4 6 4 4 4 4 8 6 8 6 4 4 8,3 4 3 4 4 4 3 4 3 4 4 3 4 4 3 4 4 4 3 4 3 4 4 4> {(0, 39): 't1', (2, 22): 't1^-1', (1, 24): 't1^-1', (0, 115): 'tau2*t3', (0, 41): 't1', (1, 90): 'tau3*t2^-1', (1, 46): 't3*tau2', (0, 126): 'tau3^-1*t2', (0, 171): 't1^-1*tau3^-1*t2', (0, 138): 't3^-1*tau2^-1', (0, 55): 't2', (0, 32): 't1^-1', (0, 173): 't1^-1', (0, 121): 'tau3^-1', (1, 167): 'tau2^-1*t3^-1', (0, 83): 't3^-1*tau2^-1', (0, 170): 't1^-1*tau3^-1*t2', (0, 164): 't1', (0, 38): 't1', (0, 31): 't1^-1', (2, 154): 't1*tau3*t2^-1', (0, 137): 't3^-1*tau2^-1', (0, 127): 'tau3^-1*t2', (0, 40): 't1', (0, 33): 't1', (2, 44): 't3*tau2', (0, 128): 't1', (2, 165): 'tau2^-1*t3^-1', (0, 44): 't3', (1, 156): 't1*tau3*t2^-1', (0, 143): 'tau1', (0, 163): 't1', (0, 165): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 110): 'tau2', (2, 55): 't2*tau3^-1', }