U-tiling: UQC2116
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1692 |
*222222 |
(2,6,4) |
{12,5} |
{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4.... |
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
|
|
sqc4159
|
|
Cmma |
67 |
orthorhombic |
{5,12} |
6 |
(2,6) |
|
G
|
False
|
|
sqc4161
|
|
C2/c |
15 |
monoclinic |
{5,12} |
6 |
(2,7) |
|
D
|
True
|
|
sqc2418
|
|
Imma |
74 |
orthorhombic |
{5,8} |
6 |
(2,5) |
Topological data
| Vertex degrees | {12,5} |
| 2D vertex symbol | {4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<89.3:88:56 46 47 6 7 52 53 54 33 78 68 69 17 18 74 75 76 44 67 79 80 28 29 85 86 87 45 57 58 39 40 63 64 65 50 51 88 61 62 77 72 73 83 84,2 4 49 8 9 11 13 15 71 19 20 22 24 26 82 30 31 33 35 37 60 41 42 44 46 48 52 53 55 57 59 63 64 66 68 70 74 75 77 79 81 85 86 88,45 3 5 7 30 10 22 67 14 16 18 41 21 78 25 27 29 32 44 56 36 38 40 43 47 49 51 85 54 77 58 60 62 74 65 88 69 71 73 76 80 82 84 87:4 4 3 4 4 4 3 4 4 3 4 3,5 12 5 5 5 12> {(1, 26): 'tau3^-1*t2', (1, 48): 't3*tau2', (0, 55): 't3^-1', (0, 22): 't2^-1', (0, 42): 'tau2*t3', (2, 87): 'tau1', (2, 54): 'tau1', (0, 19): 'tau3*t2^-1', (0, 63): 't3^-1*tau2^-1', (0, 30): 'tau3^-1*t2', (0, 52): 't3*tau2', (2, 44): 't3*tau2', (2, 11): 'tau3*t2^-1', (2, 55): 't3^-1*tau2^-1', (2, 22): 'tau3^-1*t2', (0, 31): 'tau3^-1*t2', (0, 53): 't3*tau2', (1, 59): 't3^-1*tau2^-1', (0, 43): 't1', (0, 20): 'tau3*t2^-1', (0, 32): 't1', (1, 70): 't2*tau3^-1', (0, 76): 't2*tau3^-1*t1^-1*tau2*t3', (0, 11): 't2', (0, 54): 't3*tau2*t1^-1*tau3^-1*t2', (0, 44): 't3', }