U-tiling: UQC1318
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1424 |
*22222 |
(2,5,3) |
{3,8} |
{4.8.4}{4.4.8.8.4.4.8.8} |
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) |
|
G
|
False
|
|
sqc9658
|
|
I4122 |
98 |
tetragonal |
{8,3,3} |
20 |
(3,6) |
|
D
|
False
|
|
sqc3213
|
|
P42/mmc |
131 |
tetragonal |
{3,8} |
10 |
(2,5) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.8.4}{4.4.8.8.4.4.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.2:160:91 4 5 96 97 28 29 20 71 14 15 76 77 38 39 111 24 25 116 117 40 101 34 35 106 107 131 44 45 136 137 68 69 80 121 54 55 126 127 88 89 100 151 64 65 156 157 110 74 75 108 109 141 84 85 146 147 120 94 95 118 119 104 105 114 115 124 125 148 149 140 134 135 158 159 144 145 160 154 155,2 10 6 9 8 12 20 16 19 18 22 30 26 29 28 32 40 36 39 38 42 50 46 49 48 52 60 56 59 58 62 70 66 69 68 72 80 76 79 78 82 90 86 89 88 92 100 96 99 98 102 110 106 109 108 112 120 116 119 118 122 130 126 129 128 132 140 136 139 138 142 150 146 149 148 152 160 156 159 158,41 3 5 7 9 30 51 13 15 17 19 40 61 23 25 27 29 81 33 35 37 39 43 45 47 49 70 53 55 57 59 90 63 65 67 69 121 73 75 77 79 110 83 85 87 89 131 93 95 97 99 120 141 103 105 107 109 151 113 115 117 119 123 125 127 129 150 133 135 137 139 160 143 145 147 149 153 155 157 159:4 8 4 4 4 4 4 4 8 4 4 8 4 4 4 8,8 3 8 3 3 3 3 3 3 8 3 3 8 3 3 3 3 3 3 3> {(2, 109): 'tau2*t3', (0, 140): 't1', (0, 59): 't2', (0, 26): 't1^-1', (0, 48): 't3*tau2', (0, 147): 't1*tau3*t2^-1', (0, 137): 't3*tau2', (0, 158): 'tau2^-1*t3^-1', (2, 139): 't2^-1*tau3*t1', (0, 27): 't1^-1', (0, 49): 't3', (0, 39): 't1', (2, 150): 't1^-1', (0, 159): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 20): 't1^-1', (0, 119): 'tau3^-1', (0, 109): 'tau2', (0, 86): 't1^-1', (0, 57): 't2*tau3^-1', (0, 47): 't3*tau2', (2, 30): 't1', (0, 145): 't1', (2, 129): 't3^-1*tau2^-1', (0, 28): 't1^-1', (0, 139): 'tau1', (2, 39): 't1', (0, 128): 't2*tau3^-1*t1^-1', (0, 25): 't1^-1', (2, 119): 'tau3^-1*t2', (0, 58): 't2*tau3^-1', }