U-tiling: UQC1019
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc32 |
*2223 |
(1,2,2) |
{6} |
{3.4.4.3.4.4} |
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
|
True
|
|
sqc2256
|
|
Fmmm |
69 |
orthorhombic |
{5,6} |
6 |
(2,5) |
|
G
|
False
|
|
sqc8661
|
|
Fddd |
70 |
orthorhombic |
{6,6} |
12 |
(2,6) |
|
D
|
False
|
|
sqc2463
|
|
Cmma |
67 |
orthorhombic |
{6,6} |
6 |
(2,5) |
Topological data
| Vertex degrees | {6,6} |
| 2D vertex symbol | {4.3.4.4.3.4}{3.4.4.3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.1:144:82 4 5 87 16 17 45 100 13 14 105 54 118 22 23 123 34 35 63 136 31 32 141 72 91 40 41 96 52 53 73 49 50 78 127 58 59 132 70 71 109 67 68 114 76 77 97 98 108 85 86 106 107 99 94 95 103 104 112 113 133 134 144 121 122 142 143 135 130 131 139 140,2 12 6 7 9 11 15 16 18 20 30 24 25 27 29 33 34 36 38 48 42 43 45 47 51 52 54 56 66 60 61 63 65 69 70 72 74 93 78 79 81 83 102 87 88 90 92 96 97 99 101 105 106 108 110 129 114 115 117 119 138 123 124 126 128 132 133 135 137 141 142 144,19 3 5 78 8 81 28 12 14 96 17 99 21 23 114 26 117 30 32 132 35 135 55 39 41 105 44 108 64 48 50 87 53 90 57 59 141 62 144 66 68 123 71 126 109 75 77 80 118 84 86 89 127 93 95 98 136 102 104 107 111 113 116 120 122 125 129 131 134 138 140 143:4 3 4 4 4 3 4 4 4 3 4 4 3 4 3 4 3 3 4 3,6 6 6 6 6 6 6 6 6 6 6 6> {(0, 134): 'tau3^-1*t1^-1*tau2', (0, 124): 't3*tau1^-1*t2^-1', (0, 41): 't2^-1', (0, 62): 't1', (1, 110): 't3^-1*tau1*t2', (2, 135): 't2', (1, 101): 'tau1', (0, 45): 't3^-1', (2, 126): 't2^-1', (0, 133): 't2^-1*tau1^-1*t3', (0, 14): 't2', (2, 125): 'tau2^-1', (0, 36): 't2^-1', (2, 23): 'tau2^-1', (2, 122): 'tau2^-1', (0, 105): 'tau1', (0, 5): 't3', (2, 59): 'tau3^-1', (2, 32): 'tau3', (2, 26): 'tau2^-1', (0, 9): 't2', (1, 119): 't3*tau1^-1*t2^-1', (0, 50): 't3^-1', (0, 96): 'tau1^-1', (0, 116): 'tau2*t1^-1*tau3^-1', (0, 106): 'tau1', (2, 81): 't3^-1', (0, 0): 't3', (0, 141): 't2*tau1*t3^-1', (0, 35): 't1^-1', (1, 92): 'tau1^-1', (2, 108): 't3^-1', (0, 79): 'tau1', (2, 62): 'tau3^-1', (2, 35): 'tau3', (0, 132): 't2^-1*tau1^-1*t3', }