U-tiling: UQC1716
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc116 |
*2224 |
(2,3,2) |
{4,4} |
{4.6.6.4}{6.6.6.6} |
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
|
|
sqc3868
|
|
Fmmm |
69 |
orthorhombic |
{4,4} |
10 |
(2,4) |
|
G
|
False
|
|
sqc9892
|
|
Fddd |
70 |
orthorhombic |
{4,4,4} |
20 |
(3,5) |
|
D
|
False
|
|
sqc3863
|
|
Cmma |
67 |
orthorhombic |
{4,4} |
10 |
(2,4) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.6.6.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.2:160:3 4 25 26 17 18 49 50 13 14 35 36 59 60 23 24 37 38 69 70 33 34 79 80 43 44 65 66 57 58 53 54 75 76 63 64 77 78 73 74 83 84 125 126 107 108 119 120 93 94 135 136 117 118 109 110 103 104 145 146 113 114 155 156 123 124 147 148 159 160 133 134 157 158 149 150 143 144 153 154,91 82 5 10 7 9 111 102 15 20 17 19 131 122 25 30 27 29 151 142 35 40 37 39 101 112 45 50 47 49 81 92 55 60 57 59 141 152 65 70 67 69 121 132 75 80 77 79 85 90 87 89 95 100 97 99 105 110 107 109 115 120 117 119 125 130 127 129 135 140 137 139 145 150 147 149 155 160 157 159,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160:6 6 4 4 6 6 6 4 6 6 4 6 4 4 4 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 39): 't1^-1', (0, 144): 't2^-1', (0, 29): 't1^-1', (0, 134): 't3', (1, 121): 'tau2', (0, 146): 't2^-1*tau1^-1*t3', (0, 159): 'tau3*t1*tau2^-1', (0, 136): 't3*tau1^-1*t2^-1', (0, 117): 'tau1', (1, 110): 't2^-1', (0, 148): 'tau3^-1*t1^-1*tau2', (1, 50): 't3^-1', (0, 124): 't3^-1', (0, 145): 't2^-1', (0, 154): 't2', (0, 135): 't3', (0, 125): 't3^-1', (0, 38): 't1^-1', (0, 147): 't2^-1*tau1^-1*t3', (0, 28): 't1^-1', (0, 137): 't3*tau1^-1*t2^-1', (0, 107): 'tau1^-1', (0, 149): 'tau3^-1*t1^-1*tau2', (0, 158): 'tau3*t1*tau2^-1', (0, 116): 'tau1', (1, 100): 't2', (0, 106): 'tau1^-1', (1, 90): 't3^-1', (1, 71): 'tau2', (1, 61): 'tau3^-1', (1, 31): 'tau3', (0, 155): 't2', }