U-tiling: UQC1834
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1351 |
*2244 |
(2,5,4) |
{6,4} |
{8.3.4.4.3.8}{3.4.4.4} |
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
|
|
sqc9532
|
|
P4/nmm |
129 |
tetragonal |
{6,4} |
16 |
(2,5) |
|
G
|
False
|
|
sqc9529
|
|
I41/a |
88 |
tetragonal |
{6,4} |
16 |
(2,6) |
|
D
|
False
|
|
sqc9699
|
|
I41/amd |
141 |
tetragonal |
{6,4} |
16 |
(2,5) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {8.3.4.4.3.8}{3.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<104.1:160:61 22 23 6 7 68 69 70 71 32 33 16 17 78 79 80 81 26 27 88 89 90 101 36 37 108 109 110 111 132 133 46 47 118 119 120 91 152 153 56 57 98 99 100 92 93 66 67 112 113 76 77 122 123 86 87 96 97 142 143 106 107 116 117 151 126 127 158 159 160 141 136 137 148 149 150 146 147 156 157,2 4 10 26 8 29 12 14 20 36 18 39 22 24 30 28 32 34 40 38 42 44 50 136 48 139 52 54 60 156 58 159 62 64 70 96 68 99 72 74 80 116 78 119 82 84 90 126 88 129 92 94 100 98 102 104 110 146 108 149 112 114 120 118 122 124 130 128 132 134 140 138 142 144 150 148 152 154 160 158,11 3 5 7 9 20 13 15 17 19 41 23 25 27 29 50 51 33 35 37 39 60 43 45 47 49 53 55 57 59 71 63 65 67 69 80 73 75 77 79 111 83 85 87 89 120 101 93 95 97 99 110 103 105 107 109 113 115 117 119 141 123 125 127 129 150 151 133 135 137 139 160 143 145 147 149 153 155 157 159:8 3 4 4 8 3 4 4 4 4 3 4 3 4 3 3 3 3 4 4,6 4 4 6 6 4 4 6 4 4 6 4 6 4 6 6> {(2, 150): 'tau1', (2, 59): 't2^-1', (2, 149): 'tau1^-1', (0, 60): 't1', (0, 20): 'tau2^-1*t3^-1', (0, 50): 't2^-1*tau3', (0, 40): 't3^-1*tau2^-1', (0, 30): 'tau3*t2^-1', (2, 109): 't2', (2, 50): 't2^-1', (0, 10): 't1^-1', (2, 49): 't3^-1', (2, 100): 't2', (0, 150): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 140): 't2*tau3^-1*t1^-1*tau2*t3', (2, 159): 'tau1', (2, 110): 't3^-1', (2, 40): 't3^-1', (2, 140): 'tau1^-1', (2, 119): 't3^-1', }