U-tiling: UQC1743
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1308 |
*22222 |
(2,5,4) |
{7,3} |
{4.4.4.4.4.4.4}{4.4.4} |
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
|
|
sqc2448
|
|
P4/mmm |
123 |
tetragonal |
{6,3} |
8 |
(2,4) |
|
G
|
False
|
|
sqc9363
|
|
I4122 |
98 |
tetragonal |
{3,7} |
16 |
(2,6) |
|
D
|
False
|
|
sqc3166
|
|
P4222 |
93 |
tetragonal |
{3,7} |
8 |
(2,5) |
Topological data
| Vertex degrees | {7,3} |
| 2D vertex symbol | {4.4.4.4.4.4.4}{4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<55.5:160:21 4 5 26 27 48 49 100 31 14 15 36 37 58 59 80 24 25 68 69 120 34 35 88 89 110 61 44 45 66 67 140 81 54 55 86 87 130 64 65 160 101 74 75 106 107 128 129 84 85 150 111 94 95 116 117 138 139 104 105 148 149 114 115 158 159 141 124 125 146 147 151 134 135 156 157 144 145 154 155,2 13 6 25 8 10 12 16 35 18 20 22 33 26 28 30 32 36 38 40 42 73 46 65 48 50 52 93 56 85 58 60 62 103 66 68 70 72 76 105 78 80 82 113 86 88 90 92 96 115 98 100 102 106 108 110 112 116 118 120 122 133 126 145 128 130 132 136 155 138 140 142 153 146 148 150 152 156 158 160,11 3 5 7 9 30 13 15 17 19 40 31 23 25 27 29 33 35 37 39 71 43 45 47 49 70 91 53 55 57 59 90 101 63 65 67 69 73 75 77 79 110 111 83 85 87 89 93 95 97 99 120 103 105 107 109 113 115 117 119 131 123 125 127 129 150 133 135 137 139 160 151 143 145 147 149 153 155 157 159:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,3 7 7 3 3 7 3 7 3 7 3 7 3 7 7 3> {(0, 29): 't1^-1', (0, 140): 'tau2*t3', (1, 64): 'tau2^-1*t3^-1', (0, 125): 't3^-1*tau2^-1', (2, 149): 't1*tau3*t2^-1', (1, 122): 'tau1^-1', (0, 30): 't1', (2, 50): 't2', (1, 72): 't3^-1', (0, 35): 't1', (1, 32): 't1', (2, 40): 't3', (1, 152): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 115): 'tau3^-1*t2', (1, 112): 'tau3^-1', (0, 126): 't3^-1*tau2^-1', (2, 30): 't1', (1, 84): 'tau3*t2^-1', (0, 149): 't1', (0, 116): 'tau3^-1*t2', (2, 159): 'tau2^-1*t3^-1', (2, 9): 't1', (0, 37): 't1', (0, 110): 'tau3^-1*t2', (2, 60): 'tau2^-1', (0, 157): 't1^-1', (2, 49): 't3*tau2', (0, 150): 't1^-1*tau3^-1*t2', (1, 134): 't3*tau2', (0, 100): 'tau2*t3', (0, 38): 't1', (2, 110): 'tau3^-1', (0, 158): 't1^-1', (1, 102): 'tau2', (0, 155): 't1^-1*tau3^-1*t2', (1, 24): 't1^-1', (1, 92): 't2^-1', (0, 105): 'tau2*t3', (2, 120): 'tau1^-1', (2, 140): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (1, 124): 't2*tau3^-1*t1^-1', (0, 36): 't1', (2, 59): 't2*tau3^-1', (0, 156): 't1^-1*tau3^-1*t2', (0, 106): 'tau2*t3', }