U-tiling: UQC3458
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc544 |
*2323 |
(3,3,2) |
{6,3,6} |
{5.5.5.5.5.5}{5.4.5}{5.4.5.4.5.4} |
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
|
|
sqc10036
|
|
P4232 |
208 |
cubic |
{6,3,6} |
20 |
(3,3) |
|
G
|
False
|
|
sqc10023
|
|
I213 |
199 |
cubic |
{6,3,6} |
20 |
(3,4) |
|
D
|
False
|
|
sqc10015
|
|
F-43m |
216 |
cubic |
{6,3,6} |
20 |
(3,3) |
Topological data
| Vertex degrees | {6,3,6} |
| 2D vertex symbol | {5.5.5.5.5.5}{5.4.5}{5.4.5.4.5.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.1:168:22 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 4 26 20 56 9 11 40 48 112 16 18 89 84 23 25 97 105 30 32 131 62 147 37 39 118 133 44 46 152 140 51 53 75 83 58 60 103 77 65 67 117 153 161 72 74 146 79 81 138 86 88 160 154 93 95 159 126 100 102 125 107 109 145 139 114 116 168 121 123 166 128 130 167 135 137 142 144 149 151 156 158 163 165,8 16 17 6 7 44 45 13 14 29 20 21 36 93 94 27 28 58 59 34 35 114 115 41 42 57 48 49 64 79 80 55 56 62 63 149 150 69 70 113 142 143 76 77 120 83 84 127 156 157 90 91 141 97 98 148 121 122 104 105 155 135 136 111 112 118 119 125 126 163 164 132 133 162 139 140 146 147 153 154 160 161 167 168:5 4 5 4 5 4 5 4 4 5 5 5 5 4 5 5 5 5,6 3 6 3 6 6 6 3 3 3 6 3 3 6 3 6 3 3 3 3> {(1, 123): 't2', (2, 63): 'tau3^-1', (1, 125): 'tau3*t1', (0, 63): 'tau3^-1*t1^-1', (0, 49): 't1^-1', (1, 117): 'tau2', (1, 118): 'tau2*t3*tau1^-1', (1, 104): 't1', (1, 109): 't3', (2, 36): 'tau2^-1', (2, 37): 'tau2^-1', (0, 161): 't2^-1', (2, 162): 'tau1', (0, 154): 'tau1^-1*t3*tau2', (1, 90): 't2', (1, 95): 'tau2^-1*t3^-1*tau1', (1, 81): 't2', (2, 140): 'tau2', (1, 74): 't1', (1, 103): 'tau3^-1', (0, 140): 't3^-1', (1, 67): 'tau3^-1*t1^-1', (2, 128): 'tau1^-1', (0, 133): 't2^-1', (2, 120): 'tau3', (2, 121): 'tau3', (1, 41): 't3', (2, 105): 'tau1', (1, 166): 'tau1', (1, 69): 't2^-1'}