U-tiling: UQC1860
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1370 |
*2244 |
(2,4,4) |
{3,4} |
{4.8.12}{12.8.4.8} |
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
|
|
sqc9930
|
|
P4/nmm |
129 |
tetragonal |
{4,3} |
24 |
(2,4) |
|
G
|
False
|
|
sqc9894
|
|
I41/a |
88 |
tetragonal |
{4,3,3} |
24 |
(3,5) |
|
D
|
False
|
|
sqc9895
|
|
I41/amd |
141 |
tetragonal |
{4,3} |
24 |
(2,4) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {4.8.12}{12.8.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<14.1:160:61 62 5 6 17 18 69 70 71 72 15 16 79 80 81 82 25 26 47 48 89 90 101 102 35 36 57 58 109 110 111 112 45 46 119 120 91 92 55 56 99 100 65 66 77 78 75 76 85 86 117 118 95 96 107 108 105 106 115 116 151 152 125 126 147 148 159 160 141 142 135 136 157 158 149 150 145 146 155 156,21 3 24 7 10 9 31 13 34 17 20 19 23 27 30 29 33 37 40 39 131 43 134 47 50 49 151 53 154 57 60 59 91 63 94 67 70 69 111 73 114 77 80 79 121 83 124 87 90 89 93 97 100 99 141 103 144 107 110 109 113 117 120 119 123 127 130 129 133 137 140 139 143 147 150 149 153 157 160 159,2 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 8 12 4 4 12 8 4 8 4 8 4,4 3 4 3 3 3 4 3 4 3 4 3 4 3 4 3 3 4 3 3 3 3 3 3> {(0, 157): 'tau1', (0, 51): 't2^-1*tau3', (0, 41): 't3^-1*tau2^-1', (0, 146): 'tau1^-1', (0, 117): 't3^-1', (0, 107): 't2', (0, 150): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 140): 't2*tau3^-1*t1^-1*tau2*t3', (0, 147): 'tau1^-1', (0, 30): 'tau3*t2^-1', (0, 151): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 141): 't2*tau3^-1*t1^-1*tau2*t3', (0, 56): 't2^-1', (0, 46): 't3^-1', (0, 60): 't1', (0, 31): 'tau3*t2^-1', (0, 20): 'tau2^-1*t3^-1', (0, 10): 't1^-1', (0, 57): 't2^-1', (0, 47): 't3^-1', (0, 61): 't1', (0, 156): 'tau1', (0, 50): 't2^-1*tau3', (0, 40): 't3^-1*tau2^-1', (0, 21): 'tau2^-1*t3^-1', (0, 11): 't1^-1', (0, 116): 't3^-1', (0, 106): 't2', }