U-tiling: UQC2094
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1675 |
*222222 |
(2,6,4) |
{8,3} |
{4.4.4.6.6.4.4.4}{4.4.6} |
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
|
True
|
|
sqc3491
|
|
Cmma |
67 |
orthorhombic |
{7,3} |
8 |
(2,6) |
|
G
|
False
|
|
sqc4252
|
|
C2/c |
15 |
monoclinic |
{8,3} |
8 |
(2,7) |
|
D
|
False
|
|
sqc581
|
|
Cmmm |
65 |
orthorhombic |
{3,8} |
4 |
(2,5) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.4.6.6.4.4.4}{4.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<80.1:88:23 4 5 61 62 63 53 54 33 34 15 16 83 84 85 75 76 44 26 27 72 73 74 86 87 37 38 50 51 52 64 65 78 48 49 88 67 59 60 77 70 71 81 82,2 7 48 6 9 11 13 18 70 17 20 22 24 29 81 28 31 33 35 40 59 39 42 44 46 51 50 53 55 57 62 61 64 66 68 73 72 75 77 79 84 83 86 88,12 3 5 50 8 10 22 14 16 72 19 21 34 25 27 83 30 32 44 36 38 61 41 43 67 47 49 52 54 77 78 58 60 63 65 88 69 71 74 76 80 82 85 87:6 4 4 4 6 4 4 4 4 4,8 3 3 8 3 3 8 8> {(2, 27): 'tau3^-1*t2', (0, 51): 't3', (0, 18): 't2', (0, 62): 't3^-1', (0, 29): 't2^-1', (0, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 22): 't1', (2, 65): 'tau1^-1', (2, 54): 'tau1', (1, 14): 'tau3*t2^-1', (2, 44): 'tau1', (0, 27): 't2^-1', (0, 49): 't3', (0, 16): 't2', (0, 60): 't3^-1', (2, 55): 'tau1^-1', (2, 5): 'tau2^-1*t3^-1', (0, 17): 't2', (0, 61): 't3^-1', (0, 28): 't2^-1', (0, 50): 't3', (1, 58): 't3^-1*tau2^-1', (1, 80): 't2^-1*tau3', (0, 33): 't1', (1, 47): 't3*tau2', (2, 16): 'tau3*t2^-1', (0, 44): 't3*tau2*t1^-1*tau3^-1*t2', (2, 60): 't3^-1*tau2^-1', }