U-tiling: UQC1815
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc128 |
2*222 |
(1,3,2) |
{5} |
{4.6.6.6.4} |
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
|
True
|
|
sqc184
|
crb
|
I4/mmm |
139 |
tetragonal |
{4} |
4 |
(1,2) |
|
G
|
False
|
|
sqc3503
|
|
Ibca |
73 |
orthorhombic |
{5} |
8 |
(1,4) |
|
D
|
False
|
|
sqc498
|
|
Pnnn |
48 |
orthorhombic |
{5} |
4 |
(1,3) |
Topological data
| Vertex degrees | {5,5} |
| 2D vertex symbol | {4.6.6.6.4}{6.6.4.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<64.1:80:21 42 43 6 7 48 49 30 31 52 53 16 17 58 59 40 62 63 26 27 68 69 72 73 36 37 78 79 61 46 47 70 71 56 57 80 66 67 76 77,2 4 15 16 8 10 12 14 18 20 22 24 35 36 28 30 32 34 38 40 42 44 55 56 48 50 52 54 58 60 62 64 75 76 68 70 72 74 78 80,11 3 5 7 9 20 13 15 17 19 31 23 25 27 29 40 33 35 37 39 51 43 45 47 49 60 53 55 57 59 71 63 65 67 69 80 73 75 77 79:4 6 6 4 4 4 6 6,5 5 5 5 5 5 5 5> {(0, 29): 't3', (0, 51): 't1', (0, 12): 't1^-1', (0, 59): 't2^-1*tau1^-1*t3*tau2', (0, 48): 't2^-1', (0, 38): 't3*tau1^-1*t2^-1*tau3*t1', (2, 50): 'tau3^-1*t2', (1, 5): 't1', (0, 27): 't3*tau1^-1', (0, 49): 't2^-1*tau1^-1', (0, 39): 'tau2^-1*t1', (1, 54): 'tau3^-1*t2', (0, 57): 'tau3^-1', (0, 47): 't2^-1', (1, 75): 'tau2^-1*t3^-1', (1, 35): 'tau2^-1*t3^-1', (0, 28): 't3*tau1^-1', (2, 79): 'tau2^-1*t3^-1', (0, 50): 't1', (2, 19): 't1^-1', (2, 39): 'tau2^-1*t3^-1', (1, 74): 't1^-1*tau3^-1*t2', (0, 37): 't3*tau1^-1*t2^-1*tau3*t1', (2, 60): 't2^-1*tau3*t1', (0, 58): 'tau3^-1', }