U-tiling: UQC4534
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1479 |
*22222 |
(4,5,2) |
{3,3,4,4} |
{6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7} |
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
|
|
sqc3828
|
|
Fmmm |
69 |
orthorhombic |
{3,3,4,4} |
12 |
(4,5) |
|
G
|
False
|
|
sqc9853
|
|
Fddd |
70 |
orthorhombic |
{3,3,4,4} |
24 |
(4,6) |
|
D
|
False
|
|
sqc452
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,3} |
6 |
(4,5) |
Topological data
| Vertex degrees | {3,3,4,4} |
| 2D vertex symbol | {6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<54.2:160:91 3 5 7 9 90 111 13 15 17 19 110 131 23 25 27 29 130 151 33 35 37 39 150 101 43 45 47 49 120 81 53 55 57 59 100 141 63 65 67 69 160 121 73 75 77 79 140 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 23 84 6 8 10 12 33 104 16 18 20 22 124 26 28 30 32 144 36 38 40 42 63 114 46 48 50 52 73 94 56 58 60 62 154 66 68 70 72 134 76 78 80 82 123 86 88 90 92 133 96 98 100 102 143 106 108 110 112 153 116 118 120 122 126 128 130 132 136 138 140 142 146 148 150 152 156 158 160,81 4 5 26 27 18 19 50 101 14 15 36 37 60 121 24 25 38 39 70 141 34 35 80 111 44 45 66 67 58 59 91 54 55 76 77 151 64 65 78 79 131 74 75 84 85 126 127 108 109 120 94 95 136 137 118 119 110 104 105 146 147 114 115 156 157 124 125 148 149 160 134 135 158 159 150 144 145 154 155:6 7 6 7 7 7 6 7 6 7 7 7,3 3 4 4 3 3 3 4 3 3 3 4 3 3 3 3 3 4 4 3 4 3 3 4> {(2, 60): 'tau3^-1', (1, 123): 'tau2', (1, 122): 't3^-1', (0, 50): 't3^-1', (1, 112): 't2^-1', (0, 40): 't2^-1', (0, 10): 't2', (2, 39): 't1^-1', (0, 39): 'tau3', (1, 102): 't2', (2, 156): 't2', (2, 29): 't1^-1', (2, 30): 'tau3', (2, 159): 'tau3*t1*tau2^-1', (1, 92): 't3^-1', (0, 29): 'tau2^-1', (2, 20): 'tau2^-1', (2, 149): 'tau3^-1*t1^-1*tau2', (2, 145): 't2^-1', (2, 146): 't2^-1', (2, 147): 't2^-1*tau1^-1*t3', (1, 73): 'tau2', (0, 139): 'tau2^-1', (2, 136): 't3', (2, 137): 't3*tau1^-1*t2^-1', (2, 138): 't3*tau1^-1*t2^-1', (0, 0): 't3', (2, 135): 't3', (2, 128): 't3^-1*tau1*t2', (2, 130): 'tau2^-1', (2, 125): 't3^-1', (2, 117): 'tau1', (2, 115): 't2^-1', (2, 108): 'tau1^-1', (2, 107): 'tau1^-1', (1, 33): 'tau3', (2, 98): 'tau1^-1', (0, 159): 'tau3', (1, 153): 'tau3', (2, 86): 't3'}