U-tiling: UQC1690
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
|
|
sqc9446
|
|
I4122 |
98 |
tetragonal |
{8,4} |
12 |
(2,6) |
|
D
|
False
|
|
sqc3393
|
|
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
<59.3:160:21 12 13 24 25 8 9 50 31 34 35 18 19 60 32 33 28 29 70 38 39 90 61 72 73 64 65 48 49 81 92 93 84 85 58 59 102 103 68 69 101 104 105 78 79 130 112 113 88 89 111 114 115 98 99 140 108 109 150 118 119 160 141 132 133 144 145 128 129 151 154 155 138 139 152 153 148 149 158 159,2 4 6 10 28 49 12 14 16 20 38 59 22 24 26 30 69 32 34 36 40 89 42 44 46 50 68 52 54 56 60 88 62 64 66 70 72 74 76 80 108 129 82 84 86 90 92 94 96 100 118 139 102 104 106 110 149 112 114 116 120 159 122 124 126 130 148 132 134 136 140 158 142 144 146 150 152 154 156 160,91 3 5 7 9 100 71 13 15 17 19 80 111 23 25 27 29 120 101 33 35 37 39 110 131 43 45 47 49 140 121 53 55 57 59 130 151 63 65 67 69 160 73 75 77 79 141 83 85 87 89 150 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 4 3 3 3 3 3 3 4 4 3 4 4 3 3 3 3 3 3 3 4 4 3 3,8 4 8 4 8 8 8 8 8 4 8 4> {(0, 39): 't1', (0, 144): 'tau2*t3', (1, 88): 't1^-1', (0, 51): 't2', (0, 60): 'tau2^-1*t3^-1', (0, 41): 't3', (2, 20): 't1^-1', (0, 31): 't1', (0, 62): 'tau2^-1', (0, 20): 't1^-1', (2, 140): 't1', (0, 119): 't1', (0, 32): 't1', (0, 131): 'tau1', (0, 140): 't1*tau3*t2^-1', (0, 34): 't1', (0, 152): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 112): 'tau3^-1', (1, 37): 't1', (0, 81): 'tau3', (0, 154): 't1^-1*tau3^-1*t2', (1, 117): 'tau3^-1*t2', (0, 61): 'tau2^-1', (2, 149): 't1', (0, 73): 't3^-1*tau2^-1', (0, 50): 't2*tau3^-1', (0, 114): 'tau3^-1*t2', (0, 52): 't2', (0, 33): 't1', (0, 42): 't3', (0, 151): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 157): 't1^-1*tau3^-1*t2', (0, 74): 't3^-1*tau2^-1', (0, 153): 't1^-1*tau3^-1*t2', (0, 130): 't3*tau2', (0, 143): 'tau2*t3', (1, 118): 't1', (1, 107): 'tau2*t3', (2, 29): 't1^-1', (0, 132): 'tau1', (0, 113): 'tau3^-1*t2', (1, 127): 't3^-1*tau2^-1', }