U-tiling: UQC2257
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1741 |
*222222 |
(2,6,4) |
{5,6} |
{4.4.6.4.4}{4.4.4.4.6.6} |
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
|
|
sqc4142
|
|
Cmma |
67 |
orthorhombic |
{6,5} |
8 |
(2,6) |
|
G
|
False
|
|
sqc4146
|
|
C2/c |
15 |
monoclinic |
{6,5} |
8 |
(2,7) |
|
D
|
False
|
|
sqc4143
|
|
Imma |
74 |
orthorhombic |
{6,5} |
8 |
(2,6) |
Topological data
| Vertex degrees | {5,6} |
| 2D vertex symbol | {4.4.6.4.4}{4.4.4.4.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<92.2:88:45 4 5 28 29 52 31 32 22 67 15 16 39 40 74 42 43 78 26 27 85 44 56 37 38 63 48 49 83 84 86 87 77 59 60 72 73 75 76 88 70 71 81 82,2 9 59 6 8 11 13 20 81 17 19 22 24 31 70 28 30 33 35 42 48 39 41 44 46 53 50 52 55 57 64 61 63 66 68 75 72 74 77 79 86 83 85 88,23 3 5 7 63 10 33 34 14 16 18 85 21 44 25 27 29 74 32 36 38 40 52 43 78 47 49 51 54 88 67 58 60 62 65 77 69 71 73 76 80 82 84 87:6 4 4 4 6 4 4 4 4 4,6 5 6 5 5 5 6 6> {(2, 76): 't2*tau3^-1*t1^-1*tau2*t3', (0, 55): 't3^-1*tau2^-1', (2, 43): 't1', (0, 22): 'tau3^-1*t2', (2, 54): 't3*tau2*t1^-1*tau3^-1*t2', (2, 32): 't1', (1, 25): 't2^-1', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (2, 62): 't3^-1', (2, 29): 't2^-1', (2, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 33): 't1', (2, 22): 't1', (2, 51): 't3', (2, 18): 't2', (1, 58): 't3^-1', (1, 80): 't2^-1', (0, 11): 'tau3*t2^-1', (1, 47): 't3', (0, 87): 'tau1', (0, 54): 'tau1', (0, 44): 't3*tau2', }