U-tiling: UQC627
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc414 |
*2323 |
(2,3,3) |
{5,4} |
{3.3.9.9.3}{3.9.3.9} |
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
|
|
sqc10065
|
|
P4232 |
208 |
cubic |
{4,5} |
18 |
(2,3) |
|
G
|
False
|
|
sqc10044
|
|
I213 |
199 |
cubic |
{5,4} |
18 |
(2,4) |
|
D
|
False
|
|
sqc10045
|
|
F-43m |
216 |
cubic |
{5,4} |
18 |
(2,3) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {3.3.9.9.3}{3.9.3.9} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<25.1:168:8 4 5 55 56 11 12 111 112 29 18 19 83 84 36 25 26 104 105 32 33 146 147 39 40 132 133 57 46 47 139 140 64 53 54 60 61 76 77 67 68 160 161 113 74 75 120 81 82 127 88 89 153 154 141 95 96 125 126 148 102 103 155 109 110 116 117 167 168 123 124 130 131 162 137 138 144 145 151 152 158 159 165 166,2 6 18 54 28 9 13 46 110 42 16 20 82 91 23 27 95 103 30 34 60 145 133 37 41 116 131 44 48 138 154 51 55 81 77 58 62 75 105 65 69 151 159 119 72 76 144 79 83 140 86 90 158 152 93 97 124 161 100 104 123 107 111 137 147 114 118 166 121 125 168 128 132 165 135 139 142 146 149 153 156 160 163 167,22 3 5 7 36 10 12 14 85 17 19 21 24 26 28 127 31 33 35 38 40 42 148 45 47 49 71 52 54 56 99 59 61 63 113 66 68 70 73 75 77 134 80 82 84 87 89 91 155 94 96 98 101 103 105 141 108 110 112 115 117 119 162 122 124 126 129 131 133 136 138 140 143 145 147 150 152 154 157 159 161 164 166 168:9 3 3 3 3 3 3 9 3 3 3 3 9 3 3 3 9 3 3 3,5 4 5 4 5 4 5 4 4 5 5 5 5 4 5 5 5 5> {(2, 161): 't2^-1', (0, 167): 'tau1*t3^-1*tau2^-1', (1, 88): 't2', (1, 67): 't2^-1', (1, 118): 't1*tau3', (0, 41): 't3', (0, 159): 't2', (1, 123): 'tau3*t1', (2, 140): 't3^-1', (2, 49): 't1^-1', (0, 160): 't2', (1, 83): 't2', (2, 133): 't2^-1', (0, 140): 'tau2', (2, 63): 'tau3^-1*t1^-1', (1, 39): 't3', (0, 152): 't2^-1', (1, 97): 'tau2^-1*t3^-1*tau1', (0, 26): 't1^-1', (0, 105): 'tau1', (0, 166): 'tau1*t3^-1*tau2^-1', (2, 154): 'tau1^-1*t3*tau2', (1, 76): 't1', (0, 96): 't1^-1*tau3^-1', (0, 63): 'tau3^-1', (0, 40): 't3', (1, 164): 'tau1', (1, 111): 't3', (1, 122): 'tau3', (1, 115): 'tau2', (1, 102): 't1', (0, 153): 't2^-1', (0, 97): 't1^-1*tau3^-1', (1, 125): 't2', (0, 27): 't1^-1', (1, 116): 'tau2*t3*tau1^-1', }