U-tiling: UQC5378
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2032 |
*222222 |
(5,6,2) |
{4,4,4,3,3} |
{10.10.10.10}{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
|
|
sqc821
|
|
Pmmm |
47 |
orthorhombic |
{3,4,3,4,4} |
7 |
(5,6) |
|
G
|
False
|
|
sqc5488
|
|
C2/c |
15 |
monoclinic |
{4,4,4,3,3} |
14 |
(5,7) |
|
D
|
False
|
|
sqc5482
|
|
Imma |
74 |
orthorhombic |
{4,4,4,3,3} |
14 |
(5,6) |
Topological data
| Vertex degrees | {4,4,4,3,3} |
| 2D vertex symbol | {10.10.10.10}{10.10.10.10}{10.10.10.10}{10.4.10}{10.10.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<116.3:96:49 3 5 7 9 11 60 73 15 17 19 21 23 84 85 27 29 31 33 35 96 61 39 41 43 45 47 72 51 53 55 57 59 63 65 67 69 71 75 77 79 81 83 87 89 91 93 95,2 4 6 8 12 22 35 14 16 18 20 24 47 26 28 30 32 36 46 38 40 42 44 48 50 52 54 56 60 82 95 62 64 66 68 72 94 83 74 76 78 80 84 86 88 90 92 96,61 50 51 28 29 18 19 10 11 36 85 74 75 40 41 22 23 48 73 86 87 42 43 34 35 49 62 63 46 47 88 89 78 79 58 59 96 76 77 90 91 70 71 84 82 83 94 95:10 4 10 10 10 4,4 4 4 3 3 4 4 3 3 4 3 3 3 3> {(2, 60): 't3^-1', (0, 59): 't3*tau2', (0, 60): 't3^-1*tau2^-1', (2, 59): 't3*tau2*t1^-1*tau3^-1*t2', (2, 53): 'tau1', (2, 54): 'tau1', (2, 48): 't3', (2, 47): 't1', (0, 47): 'tau2*t3', (0, 35): 'tau3^-1*t2', (2, 35): 't1', (0, 24): 'tau3^-1*t2', (2, 24): 't2^-1', (1, 94): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 81): 'tau1^-1', (1, 82): 't2*tau3^-1*t1^-1*tau2*t3', (0, 23): 'tau3*t2^-1', (2, 12): 't2', (0, 12): 'tau3*t2^-1', (0, 0): 'tau2^-1*t3^-1', (1, 69): 'tau1^-1', (1, 46): 't1', (1, 34): 't1', (2, 90): 'tau1', (2, 83): 't2*tau3^-1*t1^-1*tau2*t3', (2, 65): 'tau1^-1'}