U-tiling: UQC2000
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1637 |
*222222 |
(2,5,4) |
{4,6} |
{4.8.6.4}{6.8.8.6.8.8} |
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
|
|
sqc4483
|
|
Cmma |
67 |
orthorhombic |
{6,4} |
10 |
(2,5) |
|
G
|
False
|
|
sqc4484
|
|
C2/c |
15 |
monoclinic |
{6,4,4} |
10 |
(3,6) |
|
D
|
False
|
|
sqc654
|
|
Cmmm |
65 |
orthorhombic |
{4,6} |
5 |
(2,4) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.8.6.4}{6.8.8.6.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:88:23 4 5 50 51 63 64 54 55 34 15 16 72 73 85 86 76 77 26 27 83 84 74 75 87 88 37 38 61 62 52 53 65 66 78 48 49 67 59 60 70 71 81 82,2 25 6 11 8 10 13 36 17 22 19 21 24 28 33 30 32 35 39 44 41 43 46 80 50 55 52 54 57 69 61 66 63 65 68 72 77 74 76 79 83 88 85 87,12 3 5 7 9 11 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 67 47 49 51 53 55 78 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88:8 6 4 4 8 6 4 4,6 4 4 4 4 6 4 4 4 4> {(0, 29): 't2^-1', (0, 51): 't3', (0, 18): 't2', (0, 62): 't3^-1', (0, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 22): 't1', (0, 5): 'tau2^-1*t3^-1', (0, 19): 't2', (0, 63): 't3^-1', (0, 30): 't2^-1', (0, 52): 't3', (2, 44): 'tau1', (0, 27): 'tau3^-1*t2', (2, 55): 'tau1^-1', (0, 16): 'tau3*t2^-1', (0, 60): 't3^-1*tau2^-1', (0, 17): 'tau3*t2^-1', (0, 61): 't3^-1*tau2^-1', (0, 28): 'tau3^-1*t2', (0, 50): 't3*tau2', (0, 33): 't1', (0, 44): 't3*tau2*t1^-1*tau3^-1*t2', }