U-tiling: UQC3881
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1105 |
*22222 |
(3,5,2) |
{4,3,4} |
{3.12.12.3}{3.12.12}{12.12.12.12} |
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
|
|
sqc2876
|
|
Fmmm |
69 |
orthorhombic |
{3,4,4} |
10 |
(3,5) |
|
G
|
False
|
|
sqc8827
|
|
Fddd |
70 |
orthorhombic |
{4,3,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc308
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4} |
5 |
(3,5) |
Topological data
| Vertex degrees | {4,3,4} |
| 2D vertex symbol | {3.12.12.3}{3.12.12}{12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.1:144:19 3 5 78 8 45 28 12 14 96 17 54 21 23 114 26 63 30 32 132 35 72 55 39 41 105 44 64 48 50 87 53 57 59 141 62 66 68 123 71 109 75 77 80 108 118 84 86 89 99 127 93 95 98 136 102 104 107 111 113 116 144 120 122 125 135 129 131 134 138 140 143,2 21 6 7 9 11 30 15 16 18 20 24 25 27 29 33 34 36 38 57 42 43 45 47 66 51 52 54 56 60 61 63 65 69 70 72 74 111 78 79 81 83 120 87 88 90 92 129 96 97 99 101 138 105 106 108 110 114 115 117 119 123 124 126 128 132 133 135 137 141 142 144,82 4 5 87 25 26 18 100 13 14 105 34 35 118 22 23 123 36 136 31 32 141 91 40 41 96 61 62 54 73 49 50 78 70 71 127 58 59 132 72 109 67 68 114 76 77 115 116 99 85 86 124 125 108 94 95 133 134 103 104 142 143 112 113 135 121 122 144 130 131 139 140:3 12 3 12 12 12 3 3 3 3 3 3,4 3 4 4 3 4 4 4 3 4 4 3 4 4 3 4 3 4 3 3> {(0, 59): 'tau3^-1', (0, 62): 't1', (2, 106): 't2^-1', (2, 50): 't3^-1', (2, 45): 't3^-1', (2, 41): 't2^-1', (1, 110): 't3^-1', (2, 36): 't2^-1', (0, 35): 't1^-1', (0, 32): 'tau3', (1, 101): 't2^-1', (1, 92): 't2', (1, 83): 't3^-1', (0, 23): 'tau2^-1', (2, 141): 't2', (2, 14): 't2', (2, 9): 't2', (2, 132): 't2^-1', (2, 133): 't2^-1', (2, 134): 't2^-1*tau1^-1*t3', (2, 0): 't3', (0, 135): 't2', (0, 143): 'tau3*t1*tau2^-1', (2, 124): 't3', (2, 125): 't3*tau1^-1*t2^-1', (0, 126): 't2^-1', (0, 125): 'tau2^-1*t1*tau3', (2, 5): 't3', (2, 114): 't3^-1', (0, 117): 't3', (0, 108): 't3^-1', (2, 107): 'tau1', (2, 98): 'tau1^-1', (2, 87): 't3^-1', (2, 79): 't3', (0, 122): 'tau2^-1'}