U-tiling: UQC4880
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1782 |
*22222 |
(4,6,2) |
{3,4,4,4} |
{6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} |
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
|
|
sqc4000
|
|
Fmmm |
69 |
orthorhombic |
{3,4,4,3} |
12 |
(4,6) |
|
G
|
False
|
|
sqc10379
|
|
Fddd |
70 |
orthorhombic |
{3,4,4,4} |
24 |
(4,7) |
|
D
|
False
|
|
sqc4178
|
|
Cmma |
67 |
orthorhombic |
{3,4,4,4} |
12 |
(4,6) |
Topological data
| Vertex degrees | {3,4,4,4} |
| 2D vertex symbol | {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<65.4:176:45 3 5 7 19 10 55 56 14 16 18 21 66 67 25 27 29 41 32 77 78 36 38 40 43 88 47 49 51 63 54 58 60 62 65 69 71 73 85 76 80 82 84 87 122 91 93 95 118 98 132 111 102 104 106 129 109 121 113 115 117 120 124 126 128 131 166 135 137 139 162 142 176 155 146 148 150 173 153 165 157 159 161 164 168 170 172 175,2 9 15 6 8 11 13 20 17 19 22 24 31 37 28 30 33 35 42 39 41 44 46 53 59 50 52 55 57 64 61 63 66 68 75 81 72 74 77 79 86 83 85 88 90 97 114 94 96 99 101 108 125 105 107 110 112 119 116 118 121 123 130 127 129 132 134 141 158 138 140 143 145 152 169 149 151 154 156 163 160 162 165 167 174 171 173 176,12 4 5 105 106 30 108 109 99 15 16 127 128 41 130 131 121 34 26 27 149 150 152 153 143 37 38 171 172 174 175 165 56 48 49 116 117 74 119 120 132 59 60 94 95 85 97 98 110 78 70 71 160 161 163 164 176 81 82 138 139 141 142 154 111 92 93 140 122 103 104 151 114 115 162 125 126 173 155 136 137 166 147 148 158 159 169 170:6 5 6 6 5 6 5 5 6 5 6 5 6 5 6 5,3 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 3 3 3 3> {(2, 60): 't3^-1', (2, 61): 't3^-1', (2, 63): 't3^-1', (1, 124): 'tau1', (1, 113): 'tau1^-1', (2, 16): 't2', (2, 49): 't2^-1', (2, 50): 't2^-1', (2, 172): 't2', (0, 43): 't1^-1', (2, 175): 'tau3', (0, 175): 'tau3*t1*tau2^-1', (0, 172): 't2*tau1*t3^-1', (2, 164): 'tau3^-1', (2, 165): 't2*tau1*t3^-1', (0, 32): 't1^-1', (0, 33): 't1^-1', (2, 161): 't2^-1', (0, 164): 'tau3^-1*t1^-1*tau2', (0, 165): 'tau3*t1*tau2^-1', (0, 161): 't2^-1*tau1^-1*t3', (2, 153): 'tau2^-1', (2, 154): 't2^-1*tau1^-1*t3', (2, 53): 't2^-1', (2, 150): 't3', (0, 22): 't1^-1', (2, 17): 't2', (2, 52): 't2^-1', (2, 142): 'tau2', (2, 8): 't3', (0, 143): 'tau2^-1*t1*tau3', (2, 139): 't3^-1', (2, 5): 't3', (2, 6): 't3', (2, 129): 't2^-1', (2, 130): 't2^-1', (2, 9): 't3', (2, 121): 'tau1', (0, 117): 'tau1^-1', (0, 106): 'tau1^-1', (1, 168): 't2*tau1*t3^-1', (2, 110): 'tau1^-1', (2, 97): 't3', (1, 135): 't3^-1*tau1*t2'}