U-tiling: UQC186
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc169 |
*2224 |
(2,2,2) |
{3,4} |
{12.4.12}{12.4.12.4} |
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
|
|
sqc3890
|
stj
|
I4/mmm |
139 |
tetragonal |
{4,3} |
12 |
(2,2) |
|
G
|
False
|
|
sqc9928
|
|
I41/acd |
142 |
tetragonal |
{3,4} |
24 |
(2,3) |
|
D
|
False
|
|
sqc519
|
tfk
|
P42/mmc |
131 |
tetragonal |
{4,3} |
6 |
(2,2) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {12.4.12}{12.4.12.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.1:160:21 4 5 26 9 10 31 14 15 41 19 20 24 25 29 30 34 35 116 39 40 44 45 136 49 50 146 54 55 81 59 60 156 64 65 96 69 70 106 74 75 111 79 80 84 85 126 89 90 131 94 95 99 100 141 104 105 109 110 114 115 119 120 151 124 125 129 130 134 135 139 140 144 145 149 150 154 155 159 160,2 13 59 10 7 18 69 12 74 20 17 89 22 33 79 40 27 43 94 50 32 104 55 37 53 99 42 124 65 47 63 84 52 129 57 73 70 62 109 67 88 72 90 77 103 100 82 108 95 87 92 123 97 128 102 130 107 125 112 143 139 135 117 148 134 140 122 127 132 153 137 158 142 159 155 147 154 160 152 157,11 3 5 16 8 10 13 15 18 20 31 23 25 41 28 30 33 35 51 38 40 43 45 61 48 50 53 55 71 58 60 63 65 86 68 70 73 75 101 78 80 106 83 85 88 90 121 93 95 126 98 100 103 105 108 110 141 113 115 146 118 120 123 125 128 130 151 133 135 156 138 140 143 145 148 150 153 155 158 160:12 4 12 12 12 4 4 4 4 4 4 4,3 4 3 4 3 4 3 4 4 3 4 3 3 3 3 3 3 3 3 4 3 3 3 4> {(1, 108): 'tau3^-1', (1, 154): 'tau1^-1*t3', (1, 123): 'tau3^-1', (1, 114): 'tau1', (0, 150): 't2', (1, 73): 't1', (1, 103): 'tau2', (1, 117): 't3^-1', (1, 99): 't3^-1', (1, 153): 't2*tau3^-1*t1^-1*tau2', (1, 122): 't2^-1', (2, 50): 't3', (2, 145): 't3', (1, 102): 't3^-1', (2, 100): 't3^-1', (0, 60): 't2', (1, 112): 't3', (2, 120): 't2^-1', (2, 140): 't3^-1', (1, 39): 't3^-1', (1, 62): 't2', (1, 84): 't2^-1', (1, 159): 'tau1*t3^-1', (1, 53): 'tau2^-1', (1, 119): 'tau1^-1', (1, 49): 't2^-1', (1, 18): 't1^-1', (1, 158): 't2^-1*tau3*t1*tau2^-1', (1, 52): 't3', (2, 60): 't2', }