U-tiling: UQC1990
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
|
|
sqc4709
|
|
P4/mmm |
123 |
tetragonal |
{3,4} |
12 |
(2,4) |
|
G
|
False
|
|
sqc10649
|
|
I4122 |
98 |
tetragonal |
{3,4,4} |
24 |
(3,6) |
|
D
|
False
|
|
sqc4662
|
|
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
<5.5:176:23 4 5 50 51 107 108 32 33 34 15 16 61 62 85 86 43 44 26 27 72 73 129 130 37 38 94 95 118 119 67 48 49 151 152 76 77 89 59 60 140 141 98 99 70 71 173 174 111 81 82 138 139 120 121 92 93 162 163 122 103 104 149 150 131 132 114 115 160 161 125 126 171 172 155 136 137 164 165 166 147 148 175 176 158 159 169 170,2 14 6 11 8 10 13 17 22 19 21 24 36 28 33 30 32 35 39 44 41 43 46 80 50 55 52 54 57 102 61 66 63 65 68 113 72 77 74 76 79 83 88 85 87 90 124 94 99 96 98 101 105 110 107 109 112 116 121 118 120 123 127 132 129 131 134 146 138 143 140 142 145 149 154 151 153 156 168 160 165 162 164 167 171 176 173 175,12 3 5 7 9 11 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 78 47 49 51 53 55 100 58 60 62 64 66 111 69 71 73 75 77 80 82 84 86 88 122 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 144 135 137 139 141 143 146 148 150 152 154 166 157 159 161 163 165 168 170 172 174 176:8 6 4 4 8 4 4 4 4 6 4 6 4 8 8 6,3 4 4 3 4 4 3 4 3 4 3 4 4 3 4 4 4 4 3 4 4 3 4 4> {(0, 39): 't1', (2, 33): 't1', (0, 29): 't1^-1', (2, 88): 'tau3', (1, 145): 'tau1', (0, 53): 't3*tau2', (1, 123): 'tau3^-1', (0, 171): 't1^-1', (1, 24): 't1^-1', (1, 79): 't3^-1', (0, 32): 't1^-1', (0, 110): 'tau2*t3', (0, 161): 't1', (0, 121): 'tau3^-1*t2', (1, 167): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 175): 'tau2^-1*t3^-1', (2, 44): 't3', (0, 162): 't1', (0, 164): 't1*tau3*t2^-1', (0, 154): 'tau2*t3', (0, 38): 't1', (0, 9): 't1', (1, 101): 't2^-1', (2, 110): 'tau2', (0, 30): 't1^-1', (0, 33): 't1', (0, 170): 't1^-1', (0, 97): 'tau3*t2^-1', (0, 141): 't2*tau3^-1*t1^-1', (0, 54): 't3*tau2', (2, 165): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 98): 'tau3*t2^-1', (2, 132): 'tau1^-1', (0, 165): 't1^-1*tau3^-1*t2', (0, 174): 'tau2^-1*t3^-1', (1, 112): 'tau2', (2, 55): 't2', }