U-tiling: UQC2737
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2143 |
*222222 |
(2,7,5) |
{9,4} |
{4.4.4.4.3.4.4.4.4}{4.4.3.3} |
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) |
|
P
|
True
|
|
sqc5023
|
|
Cmma |
67 |
orthorhombic |
{8,4} |
8 |
(2,7) |
|
G
|
False
|
|
sqc5730
|
|
C2/c |
15 |
monoclinic |
{9,4} |
8 |
(2,8) |
|
D
|
True
|
|
sqc589
|
|
Cmmm |
65 |
orthorhombic |
{7,4} |
4 |
(2,6) |
Topological data
| Vertex degrees | {9,4} |
| 2D vertex symbol | {4.4.4.4.3.4.4.4.4}{4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<127.1:104:27 54 55 69 70 58 59 10 11 64 26 40 80 81 95 96 84 85 23 24 90 93 94 82 83 97 98 36 37 103 52 67 68 56 57 71 72 49 50 77 92 62 63 91 79 75 76 104 88 89 101 102,2 4 6 8 22 12 13 15 17 19 21 25 26 28 30 32 34 48 38 39 41 43 45 47 51 52 54 56 58 60 87 64 65 67 69 71 73 100 77 78 80 82 84 86 90 91 93 95 97 99 103 104,14 3 5 7 9 11 38 39 16 18 20 22 24 51 52 40 29 31 33 35 37 42 44 46 48 50 79 55 57 59 61 63 103 104 92 68 70 72 74 76 90 91 81 83 85 87 89 94 96 98 100 102:4 4 4 4 3 4 4 4 4 4 3 4 3 3,9 4 4 9 9 4 9 4> {(0, 103): 'tau1', (0, 29): 't2^-1', (0, 41): 'tau2*t3', (0, 55): 't3', (0, 78): 't2*tau3^-1*t1^-1*tau2*t3', (0, 26): 't1', (1, 99): 'tau1', (1, 86): 'tau1^-1', (0, 30): 't2^-1', (0, 52): 't3*tau2*t1^-1*tau3^-1*t2', (0, 56): 't3', (0, 27): 'tau3^-1*t2', (0, 39): 't1', (0, 16): 't2', (2, 91): 'tau1', (0, 53): 't3*tau2', (0, 3): 't3', (0, 14): 'tau3*t2^-1', (0, 17): 't2', (0, 90): 'tau1^-1', (0, 28): 'tau3^-1*t2', (2, 52): 'tau1', (0, 40): 'tau2*t3', (0, 54): 't3*tau2', (0, 15): 'tau3*t2^-1', (0, 4): 't3', }