U-tiling: UQC4123
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
|
|
sqc3679
|
|
Fmmm |
69 |
orthorhombic |
{4,4,4} |
10 |
(3,6) |
|
G
|
False
|
|
sqc9622
|
|
Fddd |
70 |
orthorhombic |
{4,4,4} |
20 |
(3,7) |
|
D
|
False
|
|
sqc3845
|
|
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
<50.3:160:81 3 5 16 17 9 90 101 13 15 19 110 121 23 25 36 37 29 130 141 33 35 39 150 111 43 45 56 57 49 120 91 53 55 59 100 151 63 65 76 77 69 160 131 73 75 79 140 83 85 106 107 89 93 95 116 117 99 103 105 109 113 115 119 123 125 146 147 129 133 135 156 157 139 143 145 149 153 155 159,2 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 97 100 102 108 106 107 110 112 118 116 117 120 122 128 126 127 130 132 138 136 137 140 142 148 146 147 150 152 158 156 157 160,41 4 5 46 27 28 29 100 51 14 15 56 37 38 39 120 61 24 25 66 140 71 34 35 76 160 44 45 67 68 69 110 54 55 77 78 79 90 64 65 150 74 75 130 111 84 85 116 127 128 129 101 94 95 106 137 138 139 104 105 147 148 149 114 115 157 158 159 151 124 125 156 141 134 135 146 144 145 154 155:6 4 6 6 4 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> {(2, 60): 't1', (0, 60): 'tau3^-1', (2, 59): 't3^-1', (2, 49): 't2^-1', (0, 20): 'tau2^-1', (2, 19): 't2', (0, 39): 'tau3', (2, 35): 't1^-1', (2, 156): 't2', (0, 155): 't2*tau1*t3^-1', (2, 30): 't1^-1', (0, 30): 'tau3', (2, 25): 't1^-1', (0, 156): 't2*tau1*t3^-1', (0, 29): 'tau2^-1', (0, 146): 't2^-1*tau1^-1*t3', (0, 145): 't2^-1*tau1^-1*t3', (2, 145): 'tau3^-1*t1^-1*tau2', (2, 146): 't2^-1', (2, 147): 't2^-1', (2, 140): 'tau3^-1*t1^-1*tau2', (0, 139): 'tau2^-1', (2, 136): 't3', (2, 9): 't3', (2, 138): 't3', (2, 117): 't2^-1', (0, 130): 'tau2^-1', (2, 128): 't3^-1', (2, 137): 't3', (2, 125): 'tau2*t1^-1*tau3^-1', (2, 126): 't3^-1', (2, 120): 'tau2*t1^-1*tau3^-1', (0, 115): 'tau1', (2, 118): 't2^-1', (0, 116): 'tau1', (2, 108): 't2', (0, 105): 'tau1^-1', (0, 159): 'tau3', (0, 106): 'tau1^-1', (2, 87): 't3'}