U-tiling: UQC1713
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc116 |
*2224 |
(2,3,2) |
{4,4} |
{4.6.6.4}{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
|
False
|
|
sqc3847
|
asv
|
P4/mmm |
123 |
tetragonal |
{4,4} |
10 |
(2,3) |
|
G
|
False
|
|
sqc9842
|
|
I4122 |
98 |
tetragonal |
{4,4,4} |
20 |
(3,5) |
|
D
|
False
|
|
sqc3833
|
|
P4222 |
93 |
tetragonal |
{4,4} |
10 |
(2,4) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.6.6.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.4:160:3 4 95 96 47 48 29 30 13 14 75 76 57 58 39 40 23 24 115 116 67 68 33 34 105 106 87 88 43 44 135 136 69 70 53 54 125 126 89 90 63 64 155 156 73 74 127 128 109 110 83 84 145 146 93 94 137 138 119 120 103 104 147 148 113 114 157 158 123 124 149 150 133 134 159 160 143 144 153 154,21 12 5 10 7 9 31 15 20 17 19 32 25 30 27 29 35 40 37 39 61 72 45 50 47 49 81 92 55 60 57 59 102 65 70 67 69 101 75 80 77 79 112 85 90 87 89 111 95 100 97 99 105 110 107 109 115 120 117 119 141 132 125 130 127 129 151 135 140 137 139 152 145 150 147 149 155 160 157 159,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160:6 6 4 4 6 4 4 4 4 6 6 6 6 4 4 6,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 157): 't1^-1', (1, 51): 't2', (1, 60): 'tau2^-1*t3^-1', (1, 20): 't1^-1', (0, 38): 't1', (0, 158): 't1^-1*tau3^-1*t2', (1, 111): 'tau3^-1', (0, 118): 'tau3^-1*t2', (0, 108): 'tau2*t3', (1, 71): 't3^-1', (0, 39): 't1', (0, 144): 't1', (1, 121): 'tau1^-1', (1, 151): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 159): 't1^-1*tau3^-1*t2', (1, 50): 't2*tau3^-1', (1, 101): 'tau2', (0, 109): 'tau2*t3', (0, 24): 't1^-1', (0, 36): 't1', (0, 145): 't1', (1, 31): 't1', (0, 119): 'tau3^-1*t2', (1, 120): 't2*tau3^-1*t1^-1', (1, 150): 'tau2^-1*t3^-1', (0, 156): 't1^-1', (0, 149): 'tau2*t3', (0, 128): 't3^-1*tau2^-1', (0, 25): 't1^-1', (0, 37): 't1', }