U-tiling: UQC2744
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2145 |
*222222 |
(2,7,5) |
{8,5} |
{4.4.3.4.4.3.4.4}{3.4.4.4.4} |
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
|
|
sqc14554
|
|
Pmmm |
47 |
orthorhombic |
{5,8} |
4 |
(2,7) |
|
G
|
False
|
|
sqc5736
|
|
C2/c |
15 |
monoclinic |
{5,8} |
8 |
(2,8) |
|
D
|
True
|
|
sqc5093
|
|
Imma |
74 |
orthorhombic |
{5,7} |
8 |
(2,7) |
Topological data
| Vertex degrees | {8,5} |
| 2D vertex symbol | {4.4.3.4.4.3.4.4}{3.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<121.2:104:53 67 68 6 7 73 35 36 24 25 39 79 93 94 19 20 99 48 49 52 92 80 81 32 33 86 50 51 66 54 55 45 46 60 58 59 100 101 89 90 104 71 72 87 88 102 103 91 84 85 97 98,2 4 31 8 9 11 13 15 17 44 21 22 24 26 28 30 34 35 37 39 41 43 47 48 50 52 54 56 96 60 61 63 65 67 69 83 73 74 76 78 80 82 86 87 89 91 93 95 99 100 102 104,27 3 5 7 60 10 12 65 40 16 18 20 86 23 25 91 29 31 33 99 36 38 104 42 44 46 73 49 51 78 92 55 57 59 62 64 79 68 70 72 75 77 81 83 85 88 90 94 96 98 101 103:4 4 3 4 4 4 4 3 4 4 3 4 4 3,5 8 5 8 8 8 5 5> {(0, 39): 'tau2*t3', (2, 0): 't1^-1', (0, 60): 't3*tau2*t1^-1*tau3^-1*t2', (2, 78): 't2*tau3^-1*t1^-1*tau2*t3', (0, 53): 't3', (0, 62): 'tau1', (0, 20): 't2', (0, 1): 't3', (1, 56): 't3*tau2*t1^-1*tau3^-1*t2', (0, 33): 't2^-1', (0, 34): 't1', (0, 47): 't1', (0, 14): 't2', (0, 59): 't3', (0, 26): 'tau3^-1*t2', (0, 7): 't3', (0, 48): 't1', (0, 61): 't3*tau2*t1^-1*tau3^-1*t2', (0, 102): 'tau1', (0, 28): 't2^-1', (2, 52): 't3*tau2*t1^-1*tau3^-1*t2', (0, 63): 'tau1', (1, 30): 't1', (0, 52): 't3*tau2', (2, 39): 't1', (0, 87): 't2*tau3^-1*t1^-1*tau2*t3', (1, 69): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 13): 'tau3*t2^-1', (0, 54): 't3', (0, 35): 't1', (0, 86): 't2*tau3^-1*t1^-1*tau2*t3', (0, 2): 't3', (0, 15): 't2', (0, 101): 'tau1', (1, 43): 't1', (0, 27): 't2^-1', }