U-tiling: UQC3408
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc516 |
*2323 |
(3,3,2) |
{3,6,3} |
{9.4.9}{9.4.4.9.4.4}{4.4.4} |
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
|
|
sqc10035
|
|
P4232 |
208 |
cubic |
{6,3,3} |
22 |
(3,3) |
G
|
False
|
|
sqc10034
|
|
I213 |
199 |
cubic |
{3,6,3} |
22 |
(3,4) |
D
|
False
|
|
sqc10040
|
|
F-43m |
216 |
cubic |
{3,6,3} |
22 |
(3,3) |
Topological data
Vertex degrees | {3,6,3} |
2D vertex symbol | {9.4.9}{9.4.4.9.4.4}{4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.1:168:22 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 52 11 6 14 9 108 13 16 80 32 20 35 23 101 39 27 42 30 143 34 37 129 41 44 136 60 48 63 51 67 55 70 58 73 62 65 157 69 72 116 76 119 79 123 83 126 86 150 130 90 133 93 122 144 97 147 100 151 104 154 107 158 111 161 114 164 118 121 125 128 132 135 165 139 168 142 146 149 153 156 160 163 167,8 4 5 20 21 11 12 48 49 29 18 19 36 25 26 97 98 32 33 62 63 39 40 118 119 57 46 47 64 53 54 83 84 60 61 67 68 153 154 113 74 75 146 147 120 81 82 127 88 89 160 161 141 95 96 148 102 103 125 126 155 109 110 139 140 116 117 123 124 130 131 167 168 162 137 138 144 145 151 152 158 159 165 166:9 4 9 9 4 4 4 4 9 4 4 4 4 4 4 4,3 6 3 6 3 3 6 3 6 6 3 3 3 6 3 3 3 3 3 3 3 3> {(1, 121): 'tau3*t1', (2, 63): 'tau3^-1', (0, 63): 'tau3^-1*t1^-1', (0, 49): 't1^-1', (2, 40): 'tau2^-1', (2, 41): 'tau2^-1', (1, 111): 'tau1', (1, 97): 'tau2^-1', (2, 166): 'tau1', (2, 167): 'tau1', (1, 100): 't1', (0, 154): 'tau1^-1*t3*tau2', (0, 161): 't2^-1', (2, 154): 'tau1^-1', (1, 94): 'tau2^-1', (1, 86): 't2', (2, 140): 'tau2', (0, 140): 't3^-1', (1, 65): 't2^-1', (1, 66): 'tau3^-1', (1, 69): 'tau3^-1', (2, 124): 'tau3', (2, 125): 'tau3', (1, 114): 'tau2*t3*tau1^-1', (1, 37): 't3', (1, 157): 'tau1^-1', (0, 77): 't2'}