U-tiling: UQC1596
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1263 |
*22222 |
(2,6,4) |
{6,4} |
{4.4.4.4.4.4}{4.4.4.4} |
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
|
|
sqc374
|
|
Pmmm |
47 |
orthorhombic |
{6,4} |
4 |
(2,6) |
|
G
|
False
|
|
sqc9583
|
|
Fddd |
70 |
orthorhombic |
{4,6} |
16 |
(2,6) |
|
D
|
False
|
|
sqc3531
|
|
Cmma |
67 |
orthorhombic |
{6,4} |
8 |
(2,6) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<49.3:160:41 12 13 5 16 17 28 29 100 51 15 38 39 120 61 32 33 25 36 37 140 71 35 160 52 53 45 56 57 68 69 110 55 78 79 90 72 73 65 76 77 150 75 130 111 102 103 85 106 107 128 129 101 112 113 95 116 117 138 139 105 148 149 115 158 159 151 142 143 125 146 147 141 152 153 135 156 157 145 155,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160,81 3 84 85 7 9 90 101 13 104 105 17 19 110 121 23 124 125 27 29 130 141 33 144 145 37 39 150 111 43 114 115 47 49 120 91 53 94 95 57 59 100 151 63 154 155 67 69 160 131 73 134 135 77 79 140 83 87 89 93 97 99 103 107 109 113 117 119 123 127 129 133 137 139 143 147 149 153 157 159:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 6 4 6 4 6 4 6 4 6 4 6 4 6 4 6> {(0, 146): 't2^-1*tau1^-1*t3', (0, 140): 'tau3^-1*t1^-1*tau2', (0, 111): 'tau1', (0, 19): 't2', (0, 137): 't3', (0, 30): 't1^-1', (0, 151): 't2*tau1*t3^-1', (2, 70): 'tau2', (0, 118): 't2^-1', (2, 73): 'tau2', (0, 101): 'tau1^-1', (0, 115): 'tau1', (0, 138): 't3', (2, 63): 'tau3^-1', (2, 30): 'tau3', (2, 34): 'tau3', (0, 135): 't3*tau1^-1*t2^-1', (0, 102): 'tau1^-1', (0, 116): 'tau1', (2, 39): 'tau3', (0, 128): 't3^-1', (2, 60): 'tau3^-1', (0, 157): 't2', (2, 64): 'tau3^-1', (0, 150): 'tau3*t1*tau2^-1', (2, 69): 'tau3^-1', (0, 59): 't3^-1', (2, 123): 'tau2', (0, 147): 't2^-1', (0, 9): 't3', (2, 24): 'tau2^-1', (0, 141): 't2^-1*tau1^-1*t3', (2, 29): 'tau2^-1', (0, 49): 't2^-1', (2, 33): 'tau3', (0, 60): 't1', (0, 105): 'tau1^-1', (2, 120): 'tau2', (0, 148): 't2^-1', (2, 74): 'tau2', (0, 142): 't2^-1*tau1^-1*t3', (0, 145): 't2^-1*tau1^-1*t3', (0, 112): 'tau1', (0, 156): 't2*tau1*t3^-1', (2, 79): 'tau2', (0, 127): 't3^-1', (0, 106): 'tau1^-1', (0, 132): 't3*tau1^-1*t2^-1', }