U-tiling: UQC3686
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc806 |
*22222 |
(3,4,2) |
{3,3,4} |
{6.10.6}{6.10.10}{10.10.10.10} |
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
|
|
sqc163
|
|
Pmmm |
47 |
orthorhombic |
{3,3,4} |
5 |
(3,4) |
|
G
|
False
|
|
sqc7803
|
|
Fddd |
70 |
orthorhombic |
{3,3,4} |
20 |
(3,5) |
|
D
|
False
|
|
sqc2088
|
|
Cmma |
67 |
orthorhombic |
{3,3,4} |
10 |
(3,4) |
Topological data
| Vertex degrees | {3,3,4} |
| 2D vertex symbol | {6.10.6}{6.10.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.5:128:9 3 5 7 80 11 13 15 96 25 19 21 23 112 27 29 31 128 41 35 37 39 88 43 45 47 72 57 51 53 55 120 59 61 63 104 81 67 69 71 89 75 77 79 83 85 87 91 93 95 113 99 101 103 121 107 109 111 115 117 119 123 125 127,2 35 20 6 8 10 43 28 14 16 18 51 22 24 26 59 30 32 34 52 38 40 42 60 46 48 50 54 56 58 62 64 66 91 100 70 72 74 83 108 78 80 82 116 86 88 90 124 94 96 98 123 102 104 106 115 110 112 114 118 120 122 126 128,17 4 5 38 39 72 25 12 13 46 47 88 20 21 54 55 104 28 29 62 63 120 49 36 37 96 57 44 45 80 52 53 128 60 61 112 97 68 69 94 95 105 76 77 86 87 113 84 85 121 92 93 100 101 126 127 108 109 118 119 116 117 124 125:6 10 10 6 10 10 6 6,3 3 4 3 3 4 3 4 3 4 3 3 3 3 3 3 3 3 3 3> {(2, 61): 't1', (2, 62): 't1', (1, 122): 'tau3*t1*tau2^-1', (2, 53): 't1', (1, 115): 't2^-1', (2, 55): 'tau3^-1', (1, 123): 't2', (1, 107): 't3', (2, 63): 'tau2', (0, 47): 't3^-1', (1, 99): 't3^-1', (0, 39): 't2^-1', (2, 31): 'tau3', (2, 22): 't1^-1', (2, 23): 'tau2^-1', (1, 58): 't1', (0, 15): 't2', (0, 7): 't3', (2, 125): 'tau3*t1*tau2^-1', (0, 120): 't2*tau1*t3^-1', (1, 114): 'tau3^-1*t1^-1*tau2', (2, 120): 't2', (2, 117): 'tau3^-1*t1^-1*tau2', (2, 112): 't2^-1', (2, 110): 'tau2^-1*t1*tau3', (2, 104): 't3', (2, 126): 'tau3*t1*tau2^-1', (0, 96): 't3^-1*tau1*t2', (2, 96): 't3^-1', (0, 88): 'tau1', (0, 80): 'tau1^-1', (1, 18): 't1^-1'}