U-tiling: UQC1827
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1348 |
*222222 |
(2,5,4) |
{8,4} |
{4.3.6.4.4.6.3.4}{3.6.3.6} |
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
|
|
sqc3205
|
|
Cmma |
67 |
orthorhombic |
{8,4} |
6 |
(2,5) |
|
G
|
False
|
|
sqc3210
|
|
C2/c |
15 |
monoclinic |
{8,4} |
6 |
(2,6) |
|
D
|
False
|
|
sqc3225
|
|
Imma |
74 |
orthorhombic |
{8,4} |
6 |
(2,5) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.3.6.4.4.6.3.4}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<73.2:80:41 52 53 6 7 28 29 20 61 72 73 16 17 38 39 71 62 63 26 27 40 51 42 43 36 37 46 47 78 79 70 56 57 68 69 80 66 67 76 77,2 4 8 56 47 10 12 14 18 76 67 20 22 24 28 66 77 30 32 34 38 46 57 40 42 44 48 50 52 54 58 60 62 64 68 70 72 74 78 80,21 3 5 7 9 30 31 13 15 17 19 40 23 25 27 29 33 35 37 39 71 43 45 47 49 80 61 53 55 57 59 70 63 65 67 69 73 75 77 79:4 3 6 4 4 3 6 3 3 4,8 4 8 4 8 8> {(0, 51): 't3^-1', (0, 41): 't3', (2, 20): 't1', (0, 62): 't2', (2, 49): 't3*tau2*t1^-1*tau3^-1*t2', (0, 12): 't2', (0, 59): 'tau1^-1', (1, 55): 't3^-1', (1, 45): 't3', (0, 52): 't3^-1', (0, 42): 't3', (2, 40): 't3*tau2*t1^-1*tau3^-1*t2', (2, 29): 't1', (0, 49): 'tau1', (0, 60): 't2*tau3^-1', (0, 20): 'tau3^-1*t2', (2, 30): 't1', (1, 75): 't2^-1', (2, 59): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 50): 't3^-1*tau2^-1', (0, 40): 't3*tau2', (0, 21): 't2^-1', (0, 11): 't2', (2, 39): 't1', (1, 65): 't2', (2, 60): 't2*tau3^-1*t1^-1*tau2*t3', }