U-tiling: UQC3871
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1103 |
*22222 |
(3,5,2) |
{8,3,4} |
{3.6.6.3.3.6.6.3}{3.6.6}{6.6.6.6} |
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
|
|
sqc2255
|
|
Fmmm |
69 |
orthorhombic |
{4,3,7} |
8 |
(3,5) |
|
G
|
False
|
|
sqc8631
|
|
Fddd |
70 |
orthorhombic |
{8,3,4} |
16 |
(3,6) |
|
D
|
False
|
|
sqc226
|
|
Pmmm |
47 |
orthorhombic |
{3,8,4} |
4 |
(3,5) |
Topological data
| Vertex degrees | {8,3,4} |
| 2D vertex symbol | {3.6.6.3.3.6.6.3}{3.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<37.5:144:10 3 5 78 8 81 12 14 96 17 99 28 21 23 114 26 117 30 32 132 35 135 46 39 41 105 44 108 48 50 87 53 90 64 57 59 141 62 144 66 68 123 71 126 91 75 77 80 100 84 86 89 93 95 98 102 104 107 127 111 113 116 136 120 122 125 129 131 134 138 140 143,2 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 4 5 87 16 17 45 28 13 14 105 54 22 23 123 34 35 63 31 32 141 72 55 40 41 96 52 53 64 49 50 78 58 59 132 70 71 67 68 114 109 76 77 97 98 108 118 85 86 106 107 99 127 94 95 136 103 104 112 113 133 134 144 121 122 142 143 135 130 131 139 140:3 6 6 3 6 6 3 6 6 3 6 6 3 3 3 3,8 3 4 8 3 4 8 3 8 3 3 4 3 3 4 3> {(0, 59): 'tau3^-1', (2, 62): 't1', (0, 62): 'tau3^-1', (1, 119): 't3*tau1^-1*t2^-1', (2, 41): 't2^-1', (1, 110): 't3^-1*tau1*t2', (0, 35): 'tau3', (0, 32): 'tau3', (1, 101): 'tau1', (2, 35): 't1^-1', (0, 26): 'tau2^-1', (1, 92): 'tau1^-1', (0, 23): 'tau2^-1', (2, 141): 't2*tau1*t3^-1', (2, 14): 't2', (2, 143): 'tau3*t1*tau2^-1', (2, 132): 't2^-1*tau1^-1*t3', (2, 133): 't2^-1*tau1^-1*t3', (2, 134): 'tau3^-1*t1^-1*tau2', (2, 135): 't2', (0, 135): 't2*tau1*t3^-1', (2, 124): 't3*tau1^-1*t2^-1', (2, 126): 't2^-1', (0, 126): 't2^-1*tau1^-1*t3', (0, 125): 'tau2^-1', (2, 117): 't3', (2, 108): 't3^-1', (2, 50): 't3^-1', (2, 106): 'tau1', (2, 5): 't3', (2, 96): 'tau1^-1', (0, 90): 'tau1^-1', (0, 81): 'tau1^-1', (2, 79): 'tau1', (0, 122): 'tau2^-1', (2, 105): 'tau1'}