U-tiling: UQC572
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc377 |
*2323 |
(2,3,3) |
{8,3} |
{3.3.9.3.3.3.9.3}{3.9.9} |
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
|
|
sqc10001
|
|
P4232 |
208 |
cubic |
{8,3} |
18 |
(2,3) |
|
G
|
False
|
|
sqc10008
|
|
I213 |
199 |
cubic |
{3,8} |
18 |
(2,4) |
|
D
|
False
|
|
sqc10005
|
|
Fm-3m |
225 |
cubic |
{3,8} |
18 |
(2,3) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {3.3.9.3.3.3.9.3}{3.9.9} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<20.1:168:8 4 5 27 28 11 12 41 42 29 18 19 90 91 36 25 26 32 33 132 133 39 40 57 46 47 153 154 64 53 54 76 77 60 61 104 105 67 68 118 119 113 74 75 120 81 82 139 140 127 88 89 141 95 96 160 161 148 102 103 155 109 110 146 147 116 117 123 124 167 168 130 131 162 137 138 144 145 151 152 158 159 165 166,2 24 18 6 56 9 38 46 13 112 16 87 20 84 23 95 27 105 30 129 60 34 147 37 116 41 133 44 150 48 140 51 73 81 55 58 101 62 77 65 115 151 69 161 72 144 76 79 136 83 86 158 90 154 93 157 97 126 100 123 104 107 143 137 111 114 118 168 121 164 125 128 165 132 135 139 142 146 149 153 156 160 163 167,22 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 9 3 3 3 3 3 9 3 3 3,3 8 3 8 3 8 3 8 8 3 3 3 3 8 3 3 3 3> {(0, 167): 't2^-1', (2, 161): 't2^-1', (1, 115): 'tau2', (1, 118): 'tau2*t3*tau1^-1', (1, 121): 't2', (0, 146): 't3^-1', (1, 90): 't2', (0, 117): 't1*tau3', (1, 79): 't2', (0, 55): 't1^-1', (0, 160): 'tau1^-1*t3*tau2', (1, 104): 't1', (2, 133): 't2^-1', (0, 140): 'tau2', (2, 63): 'tau3^-1*t1^-1', (1, 93): 'tau2^-1*t3^-1*tau1', (0, 118): 't1*tau3', (2, 140): 't3^-1', (0, 145): 't3^-1', (0, 154): 'tau1^-1', (2, 49): 't1^-1', (0, 138): 't2^-1', (0, 166): 't2^-1', (2, 154): 'tau1^-1*t3*tau2', (1, 69): 't2^-1', (0, 63): 'tau3^-1', (0, 139): 't2^-1', (1, 164): 'tau1', (0, 159): 'tau1^-1*t3*tau2', (1, 122): 'tau3', (1, 72): 't1', (0, 54): 't1^-1', (1, 41): 't3', (1, 125): 'tau3*t1', (1, 107): 't3', (1, 65): 'tau3^-1*t1^-1', }