U-tiling: UQC1746
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1308 |
*22222 |
(2,5,4) |
{7,3} |
{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
|
|
sqc373
|
|
Pmmm |
47 |
orthorhombic |
{3,7} |
4 |
(2,5) |
|
G
|
False
|
|
sqc9472
|
|
Fddd |
70 |
orthorhombic |
{3,7} |
16 |
(2,6) |
|
D
|
False
|
|
sqc3470
|
|
Cmma |
67 |
orthorhombic |
{7,3} |
8 |
(2,5) |
Topological data
| Vertex degrees | {7,3} |
| 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
<55.5:160:21 4 5 26 27 98 99 90 31 14 15 36 37 118 119 110 24 25 138 139 130 34 35 158 159 150 61 44 45 66 67 108 109 120 71 54 55 76 77 88 89 100 64 65 148 149 160 74 75 128 129 140 121 84 85 126 127 131 94 95 136 137 141 104 105 146 147 151 114 115 156 157 124 125 134 135 144 145 154 155,2 13 6 45 8 10 12 16 55 18 20 22 33 26 65 28 30 32 36 75 38 40 42 53 46 48 50 52 56 58 60 62 73 66 68 70 72 76 78 80 82 103 86 115 88 90 92 113 96 105 98 100 102 106 108 110 112 116 118 120 122 143 126 155 128 130 132 153 136 145 138 140 142 146 148 150 152 156 158 160,11 3 5 7 9 50 13 15 17 19 60 31 23 25 27 29 70 33 35 37 39 80 51 43 45 47 49 53 55 57 59 71 63 65 67 69 73 75 77 79 101 83 85 87 89 120 111 93 95 97 99 110 103 105 107 109 113 115 117 119 141 123 125 127 129 160 151 133 135 137 139 150 143 145 147 149 153 155 157 159:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,3 7 7 3 7 7 3 3 3 7 3 7 3 7 3 7> {(0, 39): 'tau3', (2, 150): 't2*tau1*t3^-1', (0, 29): 'tau2^-1', (0, 115): 't2^-1', (1, 124): 'tau2*t1^-1*tau3^-1', (0, 7): 't3', (0, 18): 't2', (0, 159): 'tau3', (0, 136): 't3', (1, 112): 'tau1', (0, 126): 't3^-1', (1, 152): 't2*tau1*t3^-1', (2, 140): 't2^-1*tau1^-1*t3', (0, 150): 't2', (0, 140): 't2^-1', (0, 57): 't3^-1', (0, 47): 't2^-1', (1, 64): 't1', (0, 17): 't2', (0, 90): 't3^-1', (0, 135): 't3', (0, 48): 't2^-1', (0, 125): 't3^-1', (2, 149): 'tau3^-1*t1^-1*tau2', (0, 156): 't2', (1, 122): 't3^-1*tau1*t2', (2, 110): 'tau1', (1, 144): 'tau3^-1*t1^-1*tau2', (0, 146): 't2^-1', (0, 139): 'tau2^-1', (2, 39): 't1^-1', (1, 82): 'tau1', (2, 80): 'tau1', (0, 145): 't2^-1', (2, 159): 'tau3*t1*tau2^-1', (0, 8): 't3', (1, 74): 't1', (0, 120): 't3^-1', (2, 29): 't1^-1', (0, 58): 't3^-1', }