U-tiling: UQC4618
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc8 |
*245 |
(1,1,1) |
{4} |
{5.5.5.5} |
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
|
|
sqc3090
|
|
Fmmm |
69 |
orthorhombic |
{3,4,4,4} |
10 |
(4,5) |
|
G
|
False
|
|
sqc9614
|
|
Fddd |
70 |
orthorhombic |
{4,4,4,4} |
20 |
(4,6) |
|
D
|
False
|
|
sqc3266
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4} |
10 |
(4,5) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {5.5.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<58.3:160:81 3 5 7 9 100 101 13 15 17 19 120 121 23 25 27 29 140 141 33 35 37 39 160 111 43 45 47 49 110 91 53 55 57 59 90 151 63 65 67 69 150 131 73 75 77 79 130 83 85 87 89 93 95 97 99 103 105 107 109 113 115 117 119 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159,2 4 85 8 97 10 12 14 105 18 117 20 22 24 125 28 137 30 32 34 145 38 157 40 42 44 115 48 107 50 52 54 95 58 87 60 62 64 155 68 147 70 72 74 135 78 127 80 82 84 88 90 92 94 98 100 102 104 108 110 112 114 118 120 122 124 128 130 132 134 138 140 142 144 148 150 152 154 158 160,41 12 13 6 7 18 19 30 51 16 17 40 61 32 33 26 27 38 39 71 36 37 52 53 46 47 58 59 70 56 57 80 72 73 66 67 78 79 76 77 111 102 103 86 87 108 109 130 101 112 113 96 97 118 119 140 106 107 150 116 117 160 151 142 143 126 127 148 149 141 152 153 136 137 158 159 146 147 156 157:5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't1', (0, 59): 't3^-1', (1, 124): 'tau2', (0, 60): 'tau3^-1', (0, 49): 't2^-1', (1, 116): 't2^-1', (1, 96): 't3^-1', (1, 86): 't3', (2, 107): 'tau1^-1', (2, 157): 't2*tau1*t3^-1', (2, 158): 't2*tau1*t3^-1', (2, 159): 't2', (0, 30): 'tau3', (0, 19): 't2', (2, 150): 'tau3*t1*tau2^-1', (2, 151): 't2*tau1*t3^-1', (0, 20): 'tau2^-1', (2, 147): 't2^-1*tau1^-1*t3', (2, 140): 'tau3^-1*t1^-1*tau2', (2, 142): 't2^-1*tau1^-1*t3', (0, 9): 't3', (2, 139): 't3', (0, 130): 'tau2^-1', (1, 64): 'tau3^-1', (2, 128): 't3^-1*tau1*t2', (2, 129): 't3^-1', (2, 121): 't3^-1*tau1*t2', (2, 117): 'tau1', (2, 118): 'tau1', (2, 112): 'tau1', (2, 30): 't1^-1', (1, 74): 'tau2', (2, 108): 'tau1^-1', (2, 132): 't3*tau1^-1*t2^-1', (2, 111): 'tau1', (1, 46): 't2^-1', (2, 101): 'tau1^-1', (2, 102): 'tau1^-1', (1, 34): 'tau3', (2, 109): 't2'}