U-tiling: UQC3103
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2391 |
*222222 |
(2,7,6) |
{6,3} |
{4.4.6.4.4.4}{6.4.4} |
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
|
False
|
|
sqc1489
|
|
Pmmm |
47 |
orthorhombic |
{3,6} |
6 |
(2,6) |
|
G
|
False
|
|
sqc7081
|
|
I212121 |
24 |
orthorhombic |
{3,6,6} |
12 |
(3,8) |
|
D
|
False
|
|
sqc1536
|
|
P222 |
16 |
orthorhombic |
{6,3} |
6 |
(2,7) |
Topological data
| Vertex degrees | {3,6} |
| 2D vertex symbol | {4.4.6.4.4.4}{6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<30.1:120:31 4 5 36 37 68 69 25 26 42 43 74 75 46 19 20 51 52 83 84 57 58 89 90 34 35 98 99 55 56 104 105 49 50 113 114 119 120 91 64 65 96 97 85 86 102 103 106 79 80 111 112 117 118 94 95 115 116 109 110,2 18 6 15 8 10 12 14 17 21 30 23 25 27 29 32 48 36 45 38 40 42 44 47 51 60 53 55 57 59 62 78 66 75 68 70 72 74 77 81 90 83 85 87 89 92 108 96 105 98 100 102 104 107 111 120 113 115 117 119,16 3 5 7 9 11 13 15 18 20 22 24 26 28 30 46 33 35 37 39 41 43 45 48 50 52 54 56 58 60 76 63 65 67 69 71 73 75 78 80 82 84 86 88 90 106 93 95 97 99 101 103 105 108 110 112 114 116 118 120:4 6 4 4 4 4 4 4 4 6 4 4 4 4,3 6 6 3 6 6 3 6 6 3 6 6> {(0, 29): 'tau3', (0, 41): 't3', (1, 77): 'tau3^-1*t2', (0, 117): 'tau2^-1*t3^-1*tau1*t2', (0, 55): 'tau2^-1*t3^-1', (0, 22): 't1^-1', (2, 105): 't1^-1*tau3^-1*t2', (0, 59): 't3*tau1^-1*t2^-1*tau3*t1', (0, 81): 't1', (0, 42): 't3', (0, 23): 't1^-1', (0, 13): 't2', (0, 56): 'tau2^-1*t1', (0, 101): 'tau1*t2', (1, 107): 't1^-1*tau3^-1*t2', (0, 115): 'tau2^-1*t3^-1', (0, 105): 't1^-1', (0, 43): 't3*tau1^-1', (0, 10): 't1', (0, 102): 'tau1*t2', (0, 57): 'tau2^-1*t1', (0, 24): 't1^-1', (0, 14): 't2', (0, 110): 't1^-1', (0, 28): 'tau3', (0, 116): 'tau2^-1*t3^-1*tau1*t2', (0, 54): 'tau2^-1*t3^-1', (0, 99): 't3*tau2', (0, 44): 't3*tau1^-1', (0, 58): 't3*tau1^-1*t2^-1*tau3*t1', (2, 60): 't2^-1*tau3', }