U-tiling: UQC1857
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1367 |
*2244 |
(2,4,4) |
{3,4} |
{4.16.6}{6.16.4.16} |
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) |
|
G
|
False
|
|
sqc9905
|
|
I-42d |
122 |
tetragonal |
{4,3,3} |
24 |
(3,5) |
|
D
|
False
|
|
sqc3883
|
|
P4/mmm |
123 |
tetragonal |
{4,3} |
12 |
(2,4) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {4.16.6}{6.16.4.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.1:160:21 22 5 6 17 18 89 90 31 32 15 16 99 100 25 26 47 48 109 110 35 36 57 58 119 120 61 62 45 46 129 130 71 72 55 56 139 140 65 66 77 78 149 150 75 76 159 160 101 102 85 86 97 98 111 112 95 96 105 106 127 128 115 116 137 138 141 142 125 126 151 152 135 136 145 146 157 158 155 156,61 3 64 7 10 9 71 13 74 17 20 19 31 23 34 27 30 29 33 37 40 39 51 43 54 47 50 49 53 57 60 59 63 67 70 69 73 77 80 79 141 83 144 87 90 89 151 93 154 97 100 99 111 103 114 107 110 109 113 117 120 119 131 123 134 127 130 129 133 137 140 139 143 147 150 149 153 157 160 159,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160:4 16 6 4 6 6 4 4 6 4 4 16,4 3 4 3 4 3 3 4 3 3 3 3 4 3 4 3 4 3 3 4 3 3 3 3> {(0, 51): 't3*tau2*t3', (0, 136): 't3*tau2*t1^-1', (0, 150): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 140): 'tau1^-1', (0, 100): 't2^-1', (0, 137): 't3*tau2*t1^-1', (0, 30): 't1', (0, 151): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 141): 'tau1^-1', (1, 10): 't1^-1*tau2*t3', (0, 56): 't3*tau2*t1^-1', (0, 101): 't2^-1', (0, 60): 't3^-1', (1, 90): 't1^-1*tau2*t3', (0, 57): 't3*tau2*t1^-1', (1, 93): 't1^-1*tau2*t3', (0, 61): 't3^-1', (0, 50): 't3*tau2*t3', (0, 11): 't1^-1', (0, 110): 'tau3^-1', (0, 91): 'tau3', (1, 73): 't3^-1*tau2^-1*t1', }