U-tiling: UQC4868
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1780 |
*222222 |
(4,6,2) |
{4,4,3,4} |
{5.5.5.5}{5.12.12.5}{5.12.12}{12... |
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
|
|
sqc4668
|
|
Cmma |
67 |
orthorhombic |
{4,4,3,4} |
12 |
(4,6) |
|
G
|
False
|
|
sqc4670
|
|
C2/c |
15 |
monoclinic |
{4,4,3,4} |
12 |
(4,7) |
|
D
|
False
|
|
sqc4198
|
|
Imma |
74 |
orthorhombic |
{4,3,4,4} |
12 |
(4,6) |
Topological data
| Vertex degrees | {4,4,3,4} |
| 2D vertex symbol | {5.5.5.5}{5.12.12.5}{5.12.12}{12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<89.2:88:23 3 5 7 52 10 33 34 14 16 18 74 21 44 25 27 29 85 32 36 38 40 63 43 78 47 49 51 54 88 67 58 60 62 65 77 69 71 73 76 80 82 84 87,2 4 27 8 9 11 13 15 38 19 20 22 24 26 30 31 33 35 37 41 42 44 46 48 82 52 53 55 57 59 71 63 64 66 68 70 74 75 77 79 81 85 86 88,45 57 58 6 7 63 31 32 22 67 79 80 17 18 85 42 43 78 68 69 28 29 74 44 56 46 47 39 40 52 50 51 86 87 77 61 62 75 76 88 72 73 83 84:5 12 5 12 5 5,4 4 3 4 4 4 3 4 4 3 4 3> {(2, 62): 't3^-1', (2, 63): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 56): 't3^-1', (2, 42): 't1', (2, 52): 't3*tau2*t1^-1*tau3^-1*t2', (2, 53): 't3*tau2*t1^-1*tau3^-1*t2', (2, 54): 'tau1', (2, 55): 't3^-1*tau2^-1', (0, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 51): 't3', (2, 44): 't3*tau2', (2, 45): 't3', (2, 46): 't3', (2, 41): 't1', (0, 44): 't3*tau2*t1^-1*tau3^-1*t2', (0, 33): 't1', (2, 29): 't2^-1', (2, 30): 't1', (2, 31): 't1', (2, 24): 't2^-1', (2, 22): 'tau3^-1*t2', (2, 23): 't2^-1', (0, 22): 't1', (2, 18): 't2', (2, 12): 't2', (2, 13): 't2', (2, 11): 'tau3*t2^-1', (2, 2): 't3', (1, 70): 't2*tau3^-1*t1^-1*tau2*t3', (1, 48): 't3*tau2*t1^-1*tau3^-1*t2', (1, 37): 't1', (1, 26): 't1', (2, 87): 'tau1', (2, 75): 't2*tau3^-1*t1^-1*tau2*t3'}