U-tiling: UQC180
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc165 |
*2224 |
(2,2,2) |
{3,4} |
{6.8.6}{6.8.6.8} |
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
|
|
sqc3895
|
stx
|
I4/mmm |
139 |
tetragonal |
{3,4} |
12 |
(2,2) |
|
G
|
False
|
|
sqc9934
|
|
I41/acd |
142 |
tetragonal |
{3,4} |
24 |
(2,3) |
|
D
|
False
|
|
sqc3894
|
|
P42/nnm |
134 |
tetragonal |
{4,3} |
12 |
(2,2) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {6.8.6}{6.8.6.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.2:160:11 4 5 16 9 10 14 15 19 20 31 24 25 41 29 30 34 35 51 39 40 44 45 61 49 50 54 55 71 59 60 64 65 86 69 70 74 75 101 79 80 106 84 85 89 90 121 94 95 126 99 100 104 105 109 110 141 114 115 146 119 120 124 125 129 130 151 134 135 156 139 140 144 145 149 150 154 155 159 160,2 23 9 60 7 28 70 12 33 19 75 17 43 90 22 39 80 27 49 95 32 54 105 37 118 100 42 64 125 47 138 85 52 148 130 57 83 69 62 158 110 67 98 72 108 89 77 113 99 82 94 87 128 92 133 97 102 143 129 107 124 112 134 140 117 139 135 122 153 127 132 137 142 154 160 147 159 155 152 157,21 3 5 26 8 10 31 13 15 41 18 20 23 25 28 30 33 35 116 38 40 43 45 136 48 50 146 53 55 81 58 60 156 63 65 96 68 70 106 73 75 111 78 80 83 85 126 88 90 131 93 95 98 100 141 103 105 108 110 113 115 118 120 151 123 125 128 130 133 135 138 140 143 145 148 150 153 155 158 160:6 8 8 8 8 6 6 6 6 6 6 6,3 4 3 3 4 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 4 3 4> {(1, 34): 'tau2^-1', (1, 118): 'tau1^-1', (1, 154): 't2*tau3^-1*t1^-1*tau2', (1, 48): 't2^-1', (0, 140): 't3^-1', (1, 153): 'tau1^-1*t3', (1, 122): 't2^-1', (0, 75): 't3', (1, 113): 'tau1', (1, 98): 't3^-1', (2, 150): 't2', (1, 54): 'tau2^-1', (0, 60): 't2', (1, 124): 'tau3^-1', (1, 93): 't2', (1, 62): 't2', (0, 145): 't3', (1, 159): 't2^-1*tau3*t1*tau2^-1', (1, 89): 't1', (0, 50): 't3', (1, 109): 'tau3^-1', (1, 38): 't3^-1', (1, 74): 't1', (0, 120): 't2^-1', (1, 158): 'tau1*t3^-1', (2, 60): 't2', }