U-tiling: UQC494
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc334 |
*2323 |
(2,4,3) |
{6,3} |
{6.4.3.3.4.6}{3.3.3} |
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
|
|
sqc10033
|
|
P4232 |
208 |
cubic |
{3,6} |
16 |
(2,4) |
|
G
|
False
|
|
sqc10027
|
|
I213 |
199 |
cubic |
{3,6} |
16 |
(2,4) |
|
D
|
False
|
|
sqc10016
|
|
F-43m |
216 |
cubic |
{3,6} |
16 |
(2,4) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {6.4.3.3.4.6}{3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.1:168:2 52 53 19 20 14 9 108 109 47 48 16 80 81 35 23 101 102 96 97 42 30 143 144 61 62 37 129 130 117 118 44 136 137 63 51 82 83 70 58 73 74 65 157 158 152 153 72 145 146 119 79 126 86 150 151 159 160 133 93 122 123 147 100 124 125 154 107 138 139 161 114 164 165 121 128 166 167 135 168 142 149 156 163,50 3 5 7 106 10 12 14 78 17 19 21 99 24 26 28 141 31 33 35 127 38 40 42 134 45 47 49 52 54 56 71 59 61 63 155 66 68 70 73 75 77 80 82 84 148 87 89 91 120 94 96 98 101 103 105 108 110 112 162 115 117 119 122 124 126 129 131 133 136 138 140 143 145 147 150 152 154 157 159 161 164 166 168,22 23 4 6 28 36 37 11 13 42 85 86 18 20 91 25 27 127 128 32 34 133 39 41 148 149 46 48 154 71 72 53 55 77 99 100 60 62 105 113 114 67 69 119 74 76 134 135 81 83 140 88 90 155 156 95 97 161 102 104 141 142 109 111 147 116 118 162 163 123 125 168 130 132 137 139 144 146 151 153 158 160 165 167:3 4 6 3 4 3 3 4 6 3 4 3 4 3 6 3 3 4 3 6 3 3,3 6 3 6 3 6 6 6 6 6 3 6 6 6 6 6> {(0, 146): 'tau2', (0, 129): 't3^-1', (0, 55): 'tau3', (0, 166): 'tau1', (2, 83): 't2', (2, 50): 't1^-1', (0, 163): 'tau1*t3^-1*tau2^-1', (2, 106): 't3', (2, 55): 't1^-1', (1, 98): 't1', (2, 91): 'tau2^-1*t3^-1*tau1', (2, 111): 't3', (2, 78): 't2', (1, 112): 'tau2*t3*tau1^-1', (2, 113): 't1*tau3', (2, 63): 'tau3^-1*t1^-1', (0, 123): 'tau3', (0, 164): 'tau1*t3^-1*tau2^-1', (1, 84): 't2', (2, 118): 't1*tau3', (0, 40): 'tau2^-1', (0, 149): 't2^-1', (0, 128): 't3^-1', (0, 122): 'tau3*t1', (2, 97): 'tau2^-1*t3^-1*tau1', (0, 39): 'tau2^-1', (0, 157): 't2', (0, 124): 'tau3', (2, 49): 't1^-1', (0, 150): 't2^-1', (0, 121): 'tau3*t1', (2, 105): 't3', (1, 126): 't3^-1', (2, 77): 't2', (0, 23): 't1^-1', (1, 63): 't2^-1', (2, 120): 't2', (0, 160): 'tau1^-1', (0, 24): 't1^-1', (2, 125): 't2', (2, 92): 'tau2^-1*t3^-1*tau1', (0, 156): 't2', (1, 119): 'tau3*t1', (0, 165): 'tau1', (2, 119): 't2', }