U-tiling: UQC4126
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1442 |
*22222 |
(3,6,2) |
{4,4,4} |
{6.4.4.6}{6.6.4.4}{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
|
|
sqc3844
|
|
Fmmm |
69 |
orthorhombic |
{4,4,4} |
10 |
(3,6) |
|
G
|
False
|
|
sqc9590
|
|
Fddd |
70 |
orthorhombic |
{4,4,4} |
20 |
(3,7) |
|
D
|
False
|
|
sqc3689
|
|
Cmma |
67 |
orthorhombic |
{4,4,4} |
10 |
(3,6) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {6.4.4.6}{6.6.4.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<50.5:160:11 3 5 96 97 9 20 13 15 116 117 19 31 23 25 136 137 29 40 33 35 156 157 39 51 43 45 106 107 49 60 53 55 86 87 59 71 63 65 146 147 69 80 73 75 126 127 79 101 83 85 89 110 111 93 95 99 120 103 105 109 113 115 119 141 123 125 129 150 151 133 135 139 160 143 145 149 153 155 159,2 8 6 7 10 12 18 16 17 20 22 28 26 27 30 32 38 36 37 40 42 48 46 47 50 52 58 56 57 60 62 68 66 67 70 72 78 76 77 80 82 88 86 87 90 92 98 96 97 100 102 108 106 107 110 112 118 116 117 120 122 128 126 127 130 132 138 136 137 140 142 148 146 147 150 152 158 156 157 160,21 4 5 26 87 88 89 50 31 14 15 36 107 108 109 60 24 25 127 128 129 70 34 35 147 148 149 80 61 44 45 66 117 118 119 71 54 55 76 97 98 99 64 65 157 158 159 74 75 137 138 139 121 84 85 126 120 131 94 95 136 110 141 104 105 146 151 114 115 156 124 125 160 134 135 150 144 145 154 155:6 4 4 6 4 4 6 4 4 6 4 4 6 6 6 6,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 56): 't3^-1', (0, 55): 't3^-1', (0, 46): 't2^-1', (0, 45): 't2^-1', (2, 36): 'tau3', (2, 37): 'tau3', (2, 38): 'tau3', (2, 39): 't1^-1', (2, 28): 'tau2^-1', (2, 29): 't1^-1', (2, 158): 'tau3', (2, 159): 'tau3*t1*tau2^-1', (0, 159): 't2*tau1*t3^-1', (2, 26): 'tau2^-1', (2, 27): 'tau2^-1', (2, 149): 'tau3^-1*t1^-1*tau2', (2, 150): 't2', (0, 150): 't2*tau1*t3^-1', (2, 145): 't2^-1', (2, 140): 't2^-1', (2, 136): 'tau2^-1', (0, 15): 't2', (2, 138): 'tau2^-1', (2, 135): 't3', (2, 130): 't3', (0, 5): 't3', (2, 125): 't3^-1', (0, 120): 't3^-1*tau1*t2', (2, 157): 'tau3', (0, 119): 'tau1', (2, 115): 't2^-1', (0, 110): 'tau1', (2, 156): 'tau3', (0, 96): 't3^-1', (0, 100): 'tau1^-1', (0, 89): 'tau1', (0, 129): 't3^-1*tau1*t2', (2, 80): 't3', (2, 77): 'tau2', (0, 16): 't2'}