U-tiling: UQC1781
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1342 |
*22222 |
(2,5,4) |
{5,10} |
{4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3} |
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) |
|
G
|
False
|
|
sqc9390
|
|
I4122 |
98 |
tetragonal |
{5,10} |
12 |
(2,6) |
|
D
|
False
|
|
sqc14606
|
|
P4222 |
93 |
tetragonal |
{5,10} |
6 |
(2,5) |
Topological data
| Vertex degrees | {5,10} |
| 2D vertex symbol | {4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<57.2:160:91 22 23 6 7 48 49 30 71 32 33 16 17 58 59 40 111 26 27 68 69 101 36 37 88 89 131 62 63 46 47 70 121 82 83 56 57 90 151 66 67 102 103 76 77 128 129 110 141 86 87 112 113 96 97 138 139 120 106 107 148 149 116 117 158 159 142 143 126 127 150 152 153 136 137 160 146 147 156 157,2 4 45 26 8 10 12 14 55 36 18 20 22 24 65 28 30 32 34 85 38 40 42 44 66 48 50 52 54 86 58 60 62 64 68 70 72 74 125 106 78 80 82 84 88 90 92 94 135 116 98 100 102 104 145 108 110 112 114 155 118 120 122 124 146 128 130 132 134 156 138 140 142 144 148 150 152 154 158 160,41 3 5 7 9 20 51 13 15 17 19 61 23 25 27 29 40 81 33 35 37 39 43 45 47 49 80 53 55 57 59 100 63 65 67 69 110 121 73 75 77 79 83 85 87 89 120 131 93 95 97 99 141 103 105 107 109 151 113 115 117 119 123 125 127 129 140 133 135 137 139 143 145 147 149 160 153 155 157 159:4 3 3 4 4 3 3 4 3 3 4 3 4 3 3 3 4 3 3 4 3 3 3 3,5 10 5 5 5 10 10 5 5 5 5 10> {(1, 85): 'tau3*t2^-1', (0, 157): 't1^-1', (1, 155): 'tau2^-1*t3^-1', (0, 51): 't2*tau3^-1', (2, 150): 't1^-1', (2, 89): 'tau3', (0, 62): 'tau2^-1*t3^-1', (2, 109): 'tau2', (0, 61): 'tau2^-1*t3^-1', (0, 129): 't3^-1*tau2^-1', (0, 20): 't1^-1', (2, 49): 't3', (0, 109): 'tau2*t3', (0, 22): 't1^-1', (0, 140): 't1', (0, 121): 't2*tau3^-1*t1^-1', (2, 30): 't1', (0, 142): 't1*tau3*t2^-1', (0, 119): 'tau3^-1*t2', (1, 84): 't1^-1', (1, 114): 't1', (2, 59): 't2', (0, 38): 't1', (0, 19): 't1^-1', (1, 25): 't1^-1', (0, 21): 't1^-1', (0, 158): 't1^-1', (0, 139): 't2^-1*tau3*t1', (0, 52): 't2*tau3^-1', (2, 39): 't1', (1, 65): 'tau2^-1*t3^-1', (0, 151): 'tau2^-1*t3^-1', (2, 139): 'tau1', (2, 159): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 125): 't2*tau3^-1*t1^-1', (0, 37): 't1', (0, 132): 't3*tau2', }