U-tiling: UQC4164
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1513 |
*22222 |
(3,5,2) |
{4,8,4} |
{8.3.3.8}{8.8.3.3.8.8.3.3}{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
|
False
|
|
sqc3561
|
|
Fmmm |
69 |
orthorhombic |
{8,4,4} |
8 |
(3,5) |
|
G
|
False
|
|
sqc9511
|
|
Fddd |
70 |
orthorhombic |
{4,8,4} |
16 |
(3,6) |
|
D
|
False
|
|
sqc420
|
|
Pmmm |
47 |
orthorhombic |
{4,4,8} |
4 |
(3,5) |
Topological data
| Vertex degrees | {4,8,4} |
| 2D vertex symbol | {8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.4:160:41 3 5 7 9 90 51 13 15 17 19 110 61 23 25 27 29 130 71 33 35 37 39 150 43 45 47 49 120 53 55 57 59 100 63 65 67 69 160 73 75 77 79 140 111 83 85 87 89 101 93 95 97 99 103 105 107 109 113 115 117 119 151 123 125 127 129 141 133 135 137 139 143 145 147 149 153 155 157 159,2 10 6 9 8 12 20 16 19 18 22 30 26 29 28 32 40 36 39 38 42 50 46 49 48 52 60 56 59 58 62 70 66 69 68 72 80 76 79 78 82 90 86 89 88 92 100 96 99 98 102 110 106 109 108 112 120 116 119 118 122 130 126 129 128 132 140 136 139 138 142 150 146 149 148 152 160 156 159 158,11 4 5 16 17 28 29 100 14 15 38 39 120 31 24 25 36 37 140 34 35 160 51 44 45 56 57 68 69 110 54 55 78 79 90 71 64 65 76 77 150 74 75 130 101 84 85 106 107 128 129 111 94 95 116 117 138 139 104 105 148 149 114 115 158 159 141 124 125 146 147 151 134 135 156 157 144 145 154 155:8 3 8 3 8 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3,4 8 4 8 4 4 8 4 8 4 4 4 4 4 4 4> {(0, 60): 't1', (2, 59): 't3^-1', (2, 49): 't2^-1', (2, 147): 't2^-1', (2, 156): 't2*tau1*t3^-1', (2, 157): 't2', (2, 158): 't2', (0, 30): 't1^-1', (0, 159): 'tau3', (2, 155): 't2*tau1*t3^-1', (2, 148): 't2^-1', (2, 150): 't2*tau1*t3^-1', (0, 150): 'tau3*t1*tau2^-1', (2, 145): 't2^-1*tau1^-1*t3', (2, 146): 't2^-1*tau1^-1*t3', (2, 19): 't2', (2, 140): 't2^-1*tau1^-1*t3', (0, 139): 'tau2^-1', (2, 9): 't3', (0, 140): 'tau3^-1*t1^-1*tau2', (0, 129): 'tau2', (2, 128): 't3^-1', (2, 137): 't3', (2, 138): 't3', (2, 116): 'tau1', (2, 115): 'tau1', (2, 110): 'tau1', (2, 105): 'tau1^-1', (2, 106): 'tau1^-1', (2, 100): 'tau1^-1', (2, 87): 't3', (0, 149): 'tau3^-1'}