U-tiling: UQC1684
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) |
|
P
|
True
|
|
sqc2409
|
|
P4/mmm |
123 |
tetragonal |
{7,4} |
6 |
(2,4) |
|
G
|
False
|
|
sqc9360
|
|
I4122 |
98 |
tetragonal |
{8,4} |
12 |
(2,6) |
|
D
|
False
|
|
sqc3165
|
|
P4222 |
93 |
tetragonal |
{4,8} |
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
<59.1:160:41 92 93 24 25 8 9 20 51 72 73 34 35 18 19 61 112 113 28 29 40 81 102 103 38 39 132 133 64 65 48 49 80 122 123 84 85 58 59 100 152 153 68 69 110 121 104 105 78 79 142 143 88 89 120 131 114 115 98 99 141 108 109 151 118 119 144 145 128 129 140 154 155 138 139 148 149 160 158 159,2 4 6 10 28 19 12 14 16 20 38 22 24 26 30 39 32 34 36 40 42 44 46 50 68 79 52 54 56 60 88 99 62 64 66 70 109 72 74 76 80 108 82 84 86 90 119 92 94 96 100 118 102 104 106 110 112 114 116 120 122 124 126 130 148 139 132 134 136 140 158 142 144 146 150 159 152 154 156 160,21 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 4 3 4 3 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3,8 4 8 8 4 8 4 8 8 8 4 8> {(1, 108): 'tau2', (2, 109): 'tau2*t3', (0, 22): 't1^-1', (1, 157): 'tau2^-1*t3^-1', (0, 154): 'tau2^-1*t3^-1', (2, 149): 'tau2*t3', (0, 63): 'tau2^-1*t3^-1', (0, 30): 't1', (1, 138): 'tau1', (1, 98): 't2^-1', (0, 144): 't1*tau3*t2^-1', (0, 159): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 53): 't2*tau3^-1', (0, 109): 'tau2', (2, 100): 'tau2*t3', (2, 30): 't1', (1, 78): 't3^-1', (2, 39): 't1', (0, 54): 't2*tau3^-1', (1, 38): 't1', (2, 159): 't1^-1*tau3^-1*t2', (0, 143): 't1*tau3*t2^-1', (1, 158): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 130): 't2^-1*tau3*t1', (0, 39): 't1', (1, 118): 'tau3^-1', (1, 87): 'tau3*t2^-1', (0, 150): 't1^-1', (0, 59): 't2', (2, 110): 'tau3^-1*t2', (0, 23): 't1^-1', (0, 141): 't1', (0, 49): 't3', (2, 120): 't3^-1*tau2^-1', (0, 119): 'tau3^-1', (0, 24): 't1^-1', (0, 142): 't1', (0, 21): 't1^-1', (1, 27): 't1^-1', (0, 139): 'tau1', (1, 47): 't3*tau2', (0, 44): 't3*tau2', (0, 153): 'tau2^-1*t3^-1', (2, 119): 'tau3^-1*t2', (1, 127): 't2*tau3^-1*t1^-1', }