U-tiling: UQC1615
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1267 |
*22222 |
(2,5,4) |
{7,6} |
{4.4.3.3.3.4.4}{3.3.3.3.3.3} |
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
|
True
|
|
sqc2625
|
|
Fmmm |
69 |
orthorhombic |
{6,6} |
6 |
(2,5) |
|
G
|
False
|
|
sqc9487
|
|
Fddd |
70 |
orthorhombic |
{6,7} |
12 |
(2,6) |
|
D
|
False
|
|
sqc387
|
|
Pmmm |
47 |
orthorhombic |
{7,6} |
3 |
(2,5) |
Topological data
| Vertex degrees | {7,6} |
| 2D vertex symbol | {4.4.3.3.3.4.4}{3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<54.4:160:11 4 5 86 87 98 99 30 14 15 106 107 118 119 40 31 24 25 126 127 138 139 34 35 146 147 158 159 51 44 45 116 117 108 109 70 54 55 96 97 88 89 80 71 64 65 156 157 148 149 74 75 136 137 128 129 101 84 85 130 111 94 95 140 104 105 150 114 115 160 141 124 125 151 134 135 144 145 154 155,2 83 14 6 8 10 12 103 16 18 20 22 123 34 26 28 30 32 143 36 38 40 42 113 54 46 48 50 52 93 56 58 60 62 153 74 66 68 70 72 133 76 78 80 82 104 86 88 90 92 114 96 98 100 102 106 108 110 112 116 118 120 122 144 126 128 130 132 154 136 138 140 142 146 148 150 152 156 158 160,41 3 5 7 9 20 51 13 15 17 19 61 23 25 27 29 40 71 33 35 37 39 43 45 47 49 60 53 55 57 59 63 65 67 69 80 73 75 77 79 111 83 85 87 89 110 101 93 95 97 99 120 103 105 107 109 113 115 117 119 151 123 125 127 129 150 141 133 135 137 139 160 143 145 147 149 153 155 157 159:3 3 4 4 3 4 4 3 3 4 3 4 3 3 4 3 4 3 3 3 3 3 3 3,6 7 6 6 7 6 7 7 7 7 7 7> {(0, 7): 't3', (2, 120): 'tau2*t1^-1*tau3^-1', (0, 146): 'tau3^-1', (0, 159): 't2', (0, 136): 'tau2^-1', (1, 123): 't3^-1*tau1*t2', (2, 109): 'tau1^-1', (0, 129): 't3^-1', (2, 140): 'tau3^-1*t1^-1*tau2', (0, 150): 't2*tau1*t3^-1', (0, 140): 't2^-1*tau1^-1*t3', (0, 57): 't3^-1', (1, 103): 'tau1^-1', (0, 47): 't2^-1', (2, 30): 't1^-1', (1, 62): 'tau3^-1', (0, 100): 'tau1^-1', (0, 17): 't2', (0, 26): 'tau2^-1', (0, 135): 'tau2^-1', (0, 48): 't2^-1', (0, 125): 'tau2', (0, 110): 'tau1', (2, 149): 't2^-1*tau1^-1*t3', (0, 156): 'tau3', (1, 122): 'tau2', (0, 149): 't2^-1', (2, 139): 't3*tau1^-1*t2^-1', (0, 139): 't3', (1, 113): 'tau1', (1, 153): 't2*tau1*t3^-1', (1, 72): 'tau2', (0, 118): 't2^-1', (0, 35): 'tau3', (0, 8): 't3', (1, 32): 'tau3', (2, 60): 't1', (0, 155): 'tau3', (2, 119): 'tau1', (0, 58): 't3^-1', }