U-tiling: UQC2058
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) |
|
P
|
False
|
|
sqc10241
|
|
P4/mmm |
123 |
tetragonal |
{7,4} |
16 |
(2,6) |
|
G
|
False
|
|
sqc10413
|
|
I4122 |
98 |
tetragonal |
{7,4} |
16 |
(2,7) |
|
D
|
False
|
|
sqc4545
|
|
P4222 |
93 |
tetragonal |
{4,7} |
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
<66.5:176:23 46 47 103 104 8 9 109 22 34 57 58 81 82 19 20 87 68 69 125 126 30 31 131 44 90 91 114 115 41 42 120 67 147 148 52 53 153 88 89 136 137 63 64 142 110 169 170 74 75 175 121 111 134 135 85 86 158 159 96 97 164 132 122 145 146 107 108 156 157 118 119 167 168 129 130 155 140 141 154 166 151 152 162 163 176 173 174,2 4 6 18 10 11 13 15 17 21 22 24 26 28 40 32 33 35 37 39 43 44 46 48 50 84 54 55 57 59 61 106 65 66 68 70 72 117 76 77 79 81 83 87 88 90 92 94 128 98 99 101 103 105 109 110 112 114 116 120 121 123 125 127 131 132 134 136 138 150 142 143 145 147 149 153 154 156 158 160 172 164 165 167 169 171 175 176,12 3 5 7 9 32 33 14 16 18 20 43 44 34 25 27 29 31 36 38 40 42 78 47 49 51 53 76 77 100 58 60 62 64 98 99 111 69 71 73 75 80 82 84 86 120 121 122 91 93 95 97 102 104 106 108 131 132 113 115 117 119 124 126 128 130 144 135 137 139 141 164 165 146 148 150 152 175 176 166 157 159 161 163 168 170 172 174:4 4 4 3 4 4 4 4 4 3 4 4 4 3 4 3 4 3 4 4 3 4 3 3,7 4 4 7 7 4 7 4 7 4 7 4 7 4 4 7> {(1, 149): 'tau1', (2, 53): 't3*tau2', (2, 142): 't2*tau3^-1*t1^-1', (1, 83): 't3^-1', (0, 34): 't1', (2, 98): 'tau3*t2^-1', (0, 154): 'tau2*t3', (0, 166): 't1^-1', (1, 72): 'tau2^-1', (0, 163): 't1', (0, 130): 't1', (2, 55): 't2', (2, 22): 't1^-1', (0, 109): 't2^-1', (0, 90): 't1^-1', (2, 121): 'tau3^-1', (2, 174): 'tau2^-1*t3^-1', (2, 141): 't2*tau3^-1*t1^-1', (0, 54): 't3', (0, 25): 't1^-1', (0, 110): 'tau2*t3', (2, 97): 'tau3*t2^-1', (0, 157): 't1', (0, 121): 'tau3^-1*t2', (0, 26): 't1^-1', (2, 54): 't3*tau2', (2, 143): 'tau1', (2, 110): 'tau2', (0, 158): 't1', (2, 44): 't3', (2, 165): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 160): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 167): 't1^-1', (2, 153): 't3*tau2', (0, 43): 't1', (2, 32): 't1^-1', (0, 131): 'tau3^-1', (1, 39): 't1', (0, 175): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 142): 'tau1^-1', (0, 33): 't1', (1, 105): 't2^-1', (2, 31): 't1^-1', (0, 120): 'tau2', (0, 165): 't1^-1*tau3^-1*t2', (1, 127): 'tau3^-1', }