U-tiling: UQC5374
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2031 |
*222222 |
(5,6,2) |
{4,4,4,4,4} |
{5.5.5.5}{5.7.7.5}{5.7.5.7}{7.7.... |
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
|
|
sqc829
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,4} |
6 |
(5,6) |
|
G
|
False
|
|
sqc5109
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,4} |
12 |
(5,7) |
|
D
|
False
|
|
sqc5261
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4,4} |
12 |
(5,6) |
Topological data
| Vertex degrees | {4,4,4,4,4} |
| 2D vertex symbol | {5.5.5.5}{5.7.7.5}{5.7.5.7}{7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<115.3:96:49 3 5 7 9 11 36 73 15 17 19 21 23 48 85 27 29 31 33 35 61 39 41 43 45 47 51 53 55 57 59 96 63 65 67 69 71 84 75 77 79 81 83 87 89 91 93 95,2 4 53 8 31 10 12 14 16 77 20 43 22 24 26 28 89 32 34 36 38 40 65 44 46 48 50 52 56 91 58 60 62 64 68 79 70 72 74 76 80 82 84 86 88 92 94 96,61 50 51 6 7 56 57 34 35 24 85 74 75 18 19 80 81 46 47 73 86 87 30 31 92 93 48 49 62 63 42 43 68 69 54 55 94 95 84 66 67 82 83 96 78 79 90 91:5 7 5 7 5 5 7 7,4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't3^-1', (0, 59): 't3*tau2*t1^-1*tau3^-1*t2', (0, 60): 't3^-1*tau2^-1', (2, 59): 'tau1', (0, 48): 't3*tau2', (2, 48): 't3', (0, 47): 't1', (0, 35): 't1', (1, 88): 't2^-1*tau3', (0, 24): 'tau3^-1*t2', (1, 90): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 24): 't2^-1', (2, 12): 't2', (1, 76): 't2*tau3^-1', (0, 12): 'tau3*t2^-1', (1, 78): 't2*tau3^-1*t1^-1*tau2*t3', (1, 64): 't3^-1*tau2^-1', (1, 52): 't3*tau2', (1, 42): 't1', (2, 95): 'tau1', (1, 30): 't1', (0, 71): 't3^-1*tau2^-1*t1*tau3*t2^-1'}