U-tiling: UQC1683
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1282 |
*22222 |
(2,5,4) |
{8,4} |
{4.4.3.3.3.3.4.4}{3.3.3.3} |
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) |
|
G
|
False
|
|
sqc9370
|
|
I4122 |
98 |
tetragonal |
{8,4} |
12 |
(2,6) |
|
D
|
False
|
|
sqc3203
|
|
P4222 |
93 |
tetragonal |
{8,4} |
6 |
(2,5) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.3.3.3.3.4.4}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<59.4:160:11 22 23 44 45 8 9 100 32 33 54 55 18 19 80 31 64 65 28 29 120 84 85 38 39 110 71 62 63 48 49 140 91 82 83 58 59 130 101 68 69 160 102 103 124 125 78 79 111 88 89 150 112 113 134 135 98 99 144 145 108 109 154 155 118 119 131 142 143 128 129 152 153 138 139 151 148 149 158 159,2 4 6 10 48 99 12 14 16 20 58 79 22 24 26 30 68 119 32 34 36 40 88 109 42 44 46 50 139 52 54 56 60 129 62 64 66 70 159 72 74 76 80 128 82 84 86 90 149 92 94 96 100 138 102 104 106 110 148 112 114 116 120 158 122 124 126 130 132 134 136 140 142 144 146 150 152 154 156 160,21 3 5 7 9 30 31 13 15 17 19 40 23 25 27 29 33 35 37 39 61 43 45 47 49 70 81 53 55 57 59 90 63 65 67 69 101 73 75 77 79 110 83 85 87 89 111 93 95 97 99 120 103 105 107 109 113 115 117 119 141 123 125 127 129 150 151 133 135 137 139 160 143 145 147 149 153 155 157 159:4 4 3 3 4 3 3 3 3 3 3 4 3 4 3 3 4 3 3 4 3 3 3 4,8 4 8 4 4 4 8 8 8 8 8 8> {(2, 150): 'tau2^-1*t3^-1', (0, 29): 't1^-1', (1, 118): 't1', (0, 60): 'tau2^-1', (2, 20): 't1^-1', (0, 31): 't1', (1, 87): 't1^-1', (1, 88): 't1^-1', (2, 140): 't1*tau3*t2^-1', (2, 49): 't3*tau2', (0, 32): 't1', (0, 150): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 112): 'tau3^-1*t2', (0, 121): 't3^-1*tau2^-1', (0, 34): 't1', (0, 111): 'tau3^-1*t2', (0, 152): 't1^-1*tau3^-1*t2', (0, 142): 'tau2*t3', (0, 154): 't1^-1', (1, 117): 't1', (2, 59): 't2*tau3^-1', (0, 102): 'tau2*t3', (2, 149): 't1*tau3*t2^-1', (0, 50): 't2', (0, 40): 't3', (0, 149): 't1', (0, 30): 't1', (2, 50): 't2*tau3^-1', (0, 33): 't1', (0, 151): 't1^-1*tau3^-1*t2', (2, 159): 'tau2^-1*t3^-1', (0, 130): 'tau1', (0, 101): 'tau2*t3', (0, 110): 'tau3^-1', (2, 29): 't1^-1', (0, 113): 't1', (2, 60): 'tau2^-1*t3^-1', }