U-tiling: UQC3038
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2274 |
*222222 |
(2,7,6) |
{9,5} |
{4.4.4.3.3.3.4.4.4}{3.3.4.4.3} |
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) |
|
G
|
False
|
|
sqc6271
|
|
I212121 |
24 |
orthorhombic |
{5,9} |
8 |
(2,8) |
|
D
|
False
|
|
sqc14576
|
|
P222 |
16 |
orthorhombic |
{5,9} |
4 |
(2,7) |
Topological data
| Vertex degrees | {9,5} |
| 2D vertex symbol | {4.4.4.3.3.3.4.4.4}{3.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<129.1:112:29 58 59 6 7 22 23 66 67 40 41 28 43 72 73 20 21 80 81 54 55 86 87 34 35 50 51 94 95 56 100 101 48 49 108 109 85 62 63 78 79 96 97 84 99 76 77 110 111 90 91 106 107 112 104 105,2 4 19 62 8 10 12 14 16 18 76 22 24 26 28 30 32 47 90 36 38 40 42 44 46 104 50 52 54 56 58 60 75 64 66 68 70 72 74 78 80 82 84 86 88 103 92 94 96 98 100 102 106 108 110 112,15 3 5 7 9 11 13 70 17 19 21 23 25 27 84 43 31 33 35 37 39 41 98 45 47 49 51 53 55 112 71 59 61 63 65 67 69 73 75 77 79 81 83 99 87 89 91 93 95 97 101 103 105 107 109 111:4 3 3 4 4 4 4 3 4 3 3 4 3 3 4 3,5 9 9 5 9 9 5 5> {(0, 39): 't3', (0, 16): 't1^-1', (2, 27): 't1^-1', (0, 51): 't3*tau1^-1*t2^-1*tau3*t1', (0, 105): 't1^-1*tau3^-1*t2', (0, 82): 't2^-1*tau1^-1*t3*tau2', (0, 95): 'tau1*t2', (0, 53): 'tau2^-1*t1', (2, 56): 't2^-1*tau3', (0, 10): 't2', (0, 55): 'tau2^-1*t3^-1', (1, 74): 'tau3^-1*t2', (0, 109): 'tau2^-1*t3^-1*tau1*t2', (0, 98): 't1^-1', (0, 111): 'tau2^-1*t3^-1', (0, 24): 'tau3', (1, 75): 't1', (2, 98): 't1^-1*tau3^-1*t2', (0, 38): 't3*tau1^-1', (0, 9): 't2', (0, 96): 'tau1*t2', (0, 63): 't2^-1*tau3', (0, 40): 't3', (0, 52): 't3*tau1^-1*t2^-1*tau3*t1', (0, 106): 't1^-1*tau3^-1*t2', (0, 23): 'tau3', (0, 64): 't2^-1*tau3', (0, 54): 'tau2^-1*t1', (1, 102): 't1^-1*tau3^-1*t2', (0, 15): 't1^-1', (0, 37): 't3*tau1^-1', (0, 27): 't1^-1', }