U-tiling: UQC3431
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc532 |
*2323 |
(3,3,2) |
{4,6,3} |
{3.8.8.3}{3.8.3.8.3.8}{8.8.8} |
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) |
|
P
|
False
|
|
sqc10020
|
|
P4232 |
208 |
cubic |
{4,6,3} |
20 |
(3,3) |
|
G
|
False
|
|
sqc10021
|
|
I213 |
199 |
cubic |
{4,6,3} |
20 |
(3,4) |
|
D
|
False
|
|
sqc10061
|
|
F-43m |
216 |
cubic |
{4,6,3} |
20 |
(3,3) |
Topological data
| Vertex degrees | {4,6,3} |
| 2D vertex symbol | {3.8.8.3}{3.8.3.8.3.8}{8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.1:168:22 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 98 101 103 105 141 108 110 112 115 117 119 162 122 124 126 129 131 133 136 138 140 143 145 147 150 152 154 157 159 161 164 166 168,2 24 6 54 21 9 38 13 110 49 16 87 20 82 23 27 103 98 30 129 34 145 63 37 41 131 119 44 150 48 138 51 73 55 84 58 101 62 75 65 115 69 159 154 72 76 147 79 136 83 86 90 152 161 93 157 97 124 100 104 126 107 143 111 140 114 118 166 121 164 125 128 132 168 135 139 142 146 149 153 156 160 163 167,8 4 5 13 14 11 12 29 18 19 34 35 36 25 26 41 42 32 33 39 40 57 46 47 62 63 64 53 54 69 70 60 61 67 68 113 74 75 118 119 120 81 82 125 126 127 88 89 132 133 141 95 96 146 147 148 102 103 153 154 155 109 110 160 161 116 117 123 124 130 131 162 137 138 167 168 144 145 151 152 158 159 165 166:3 8 3 8 3 8 3 8 8 3 3 3 3 8 3 3 3 3,4 6 3 6 4 6 4 3 4 4 3 6 4 4 4 3 4 4 4 4> {(1, 121): 't2', (1, 123): 'tau3*t1', (2, 63): 'tau3^-1', (1, 125): 'tau3', (0, 63): 'tau3^-1*t1^-1', (2, 54): 'tau3', (2, 55): 'tau3', (1, 116): 'tau2*t3*tau1^-1', (1, 118): 'tau2', (1, 107): 't3', (0, 161): 't2^-1', (2, 160): 'tau1^-1', (1, 102): 't1', (0, 154): 'tau1^-1*t3*tau2', (1, 88): 't2', (2, 159): 'tau1^-1', (1, 93): 'tau2^-1*t3^-1*tau1', (2, 146): 'tau2', (2, 140): 'tau2', (1, 72): 't1', (1, 39): 't3', (1, 79): 't2', (1, 65): 'tau3^-1*t1^-1', (1, 67): 't2^-1', (0, 133): 't2^-1', (0, 49): 't1^-1', (0, 140): 't3^-1', (2, 105): 'tau1', (2, 96): 'tau2^-1', (1, 167): 'tau1'}