U-tiling: UQC1612
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1267 |
*22222 |
(2,5,4) |
{7,6} |
{4.4.3.3.3.4.4}{3.3.3.3.3.3} |
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
|
True
|
|
sqc2411
|
|
P4/mmm |
123 |
tetragonal |
{6,6} |
6 |
(2,4) |
|
G
|
False
|
|
sqc9361
|
|
I4122 |
98 |
tetragonal |
{6,7} |
12 |
(2,6) |
|
D
|
False
|
|
sqc3146
|
|
P4222 |
93 |
tetragonal |
{7,6} |
6 |
(2,5) |
Topological data
| Vertex degrees | {7,6} |
| 2D vertex symbol | {4.4.3.3.3.4.4}{3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<54.5:160:21 4 5 26 27 98 99 50 31 14 15 36 37 78 79 60 24 25 118 119 70 34 35 108 109 90 61 44 45 66 67 138 139 81 54 55 86 87 128 129 64 65 158 159 101 74 75 106 107 130 84 85 148 149 111 94 95 116 117 140 104 105 150 114 115 160 141 124 125 146 147 151 134 135 156 157 144 145 154 155,2 23 24 6 8 10 12 33 34 16 18 20 22 26 28 30 32 36 38 40 42 63 64 46 48 50 52 83 84 56 58 60 62 66 68 70 72 103 104 76 78 80 82 86 88 90 92 113 114 96 98 100 102 106 108 110 112 116 118 120 122 143 144 126 128 130 132 153 154 136 138 140 142 146 148 150 152 156 158 160,11 3 5 7 9 30 13 15 17 19 40 31 23 25 27 29 33 35 37 39 71 43 45 47 49 70 91 53 55 57 59 90 101 63 65 67 69 73 75 77 79 110 111 83 85 87 89 93 95 97 99 120 103 105 107 109 113 115 117 119 131 123 125 127 129 150 133 135 137 139 160 151 143 145 147 149 153 155 157 159:3 3 4 4 3 3 4 4 4 4 3 3 4 3 3 4 3 3 3 3 3 3 3 3,6 7 7 6 7 6 7 7 7 6 7 7> {(2, 20): 't1^-1', (2, 109): 'tau2*t3', (0, 55): 't2*tau3^-1', (0, 140): 'tau2*t3', (1, 103): 'tau2*t3', (0, 5): 't1', (2, 149): 'tau2*t3', (1, 122): 't2*tau3^-1*t1^-1', (0, 30): 't1', (2, 50): 't2', (0, 56): 't2*tau3^-1', (2, 40): 't3', (0, 27): 't1^-1', (0, 39): 't1', (1, 152): 'tau2^-1*t3^-1', (0, 159): 't1^-1', (0, 126): 't2*tau3^-1*t1^-1', (1, 62): 'tau2^-1*t3^-1', (0, 28): 't1^-1', (2, 39): 't1', (2, 159): 't1^-1*tau3^-1*t2', (0, 110): 'tau3^-1*t2', (2, 60): 'tau2^-1', (1, 123): 't3^-1*tau2^-1', (0, 45): 't3*tau2', (0, 150): 't1^-1*tau3^-1*t2', (1, 33): 't1', (0, 26): 't1^-1', (0, 147): 't1', (1, 153): 't1^-1*tau3^-1*t2', (2, 110): 'tau3^-1', (0, 100): 'tau2*t3', (1, 82): 'tau3*t2^-1', (2, 99): 't2^-1*tau3', (0, 46): 't3*tau2', (0, 155): 'tau2^-1*t3^-1', (2, 120): 'tau1^-1', (0, 148): 't1', (2, 140): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (1, 93): 't2^-1*tau3', (0, 145): 't1*tau3*t2^-1', (1, 22): 't1^-1', (0, 156): 'tau2^-1*t3^-1', }