U-tiling: UQC1824
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc113 |
*2224 |
(2,3,2) |
{8,4} |
{4.3.3.4.4.3.3.4}{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) |
|
P
|
False
|
|
sqc3378
|
|
I4/mmm |
139 |
tetragonal |
{8,4} |
6 |
(2,4) |
|
G
|
False
|
|
sqc9468
|
|
Fddd |
70 |
orthorhombic |
{8,4} |
12 |
(2,6) |
|
D
|
False
|
|
sqc3551
|
|
Cmma |
67 |
orthorhombic |
{8,4} |
6 |
(2,5) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.3.3.4.4.3.3.4}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<60.3:160:41 12 13 6 7 28 29 100 51 16 17 38 39 120 61 32 33 26 27 140 71 36 37 160 52 53 46 47 68 69 110 56 57 78 79 90 72 73 66 67 150 76 77 130 111 102 103 86 87 128 129 101 112 113 96 97 138 139 106 107 148 149 116 117 158 159 151 142 143 126 127 141 152 153 136 137 146 147 156 157,2 4 8 16 27 10 12 14 18 37 20 22 24 28 36 30 32 34 38 40 42 44 48 56 67 50 52 54 58 77 60 62 64 68 76 70 72 74 78 80 82 84 88 106 127 90 92 94 98 116 137 100 102 104 108 147 110 112 114 118 157 120 122 124 128 146 130 132 134 138 156 140 142 144 148 150 152 154 158 160,81 3 5 7 9 90 101 13 15 17 19 110 121 23 25 27 29 130 141 33 35 37 39 150 111 43 45 47 49 120 91 53 55 57 59 100 151 63 65 67 69 160 131 73 75 77 79 140 83 85 87 89 93 95 97 99 103 105 107 109 113 115 117 119 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159:4 3 3 4 3 4 4 3 3 3 4 3 4 3 4 3 3 3 3 3 3 4 3 3,8 4 8 8 8 8 4 8 8 8 4 4> {(1, 85): 'tau1', (0, 157): 't2', (0, 120): 'tau2*t1^-1*tau3^-1', (0, 118): 't2^-1', (0, 60): 't1', (2, 20): 'tau2^-1', (0, 148): 't2^-1', (0, 138): 't3', (0, 111): 'tau1', (0, 102): 'tau1^-1', (0, 140): 'tau3^-1*t1^-1*tau2', (2, 30): 'tau3', (1, 106): 't2', (0, 19): 't2', (0, 142): 't2^-1*tau1^-1*t3', (0, 59): 't3^-1', (0, 101): 'tau1^-1', (0, 112): 'tau1', (2, 139): 'tau2^-1', (2, 149): 'tau3^-1', (0, 9): 't3', (0, 137): 't3', (0, 127): 't3^-1', (1, 126): 't3^-1', (0, 30): 't1^-1', (0, 141): 't2^-1*tau1^-1*t3', (0, 132): 't3*tau1^-1*t2^-1', (0, 151): 't2*tau1*t3^-1', (0, 128): 't3^-1', (0, 147): 't2^-1', (1, 115): 'tau1', (1, 116): 't2^-1', (2, 159): 'tau3', (1, 155): 't2*tau1*t3^-1', (1, 125): 't3^-1*tau1*t2', (1, 96): 't3^-1', (2, 29): 'tau2^-1', (2, 130): 'tau2^-1', (0, 49): 't2^-1', (2, 60): 'tau3^-1', }