U-tiling: UQC1666
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1274 |
*222222 |
(2,5,4) |
{7,6} |
{4.4.6.3.6.4.4}{6.3.3.6.3.3} |
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
|
|
sqc2769
|
|
Cmma |
67 |
orthorhombic |
{6,6} |
6 |
(2,5) |
|
G
|
False
|
|
sqc3752
|
|
C2/c |
15 |
monoclinic |
{6,7} |
6 |
(2,6) |
|
D
|
False
|
|
sqc396
|
|
Cmmm |
65 |
orthorhombic |
{7,6} |
3 |
(2,5) |
Topological data
| Vertex degrees | {7,6} |
| 2D vertex symbol | {4.4.6.3.6.4.4}{6.3.3.6.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<58.3:80:51 4 5 16 17 28 29 50 71 14 15 38 39 70 61 24 25 36 37 80 41 34 35 60 44 45 66 67 78 79 54 55 76 77 68 69 64 65 74 75,2 23 54 6 8 10 12 33 74 16 18 20 22 64 26 28 30 32 44 36 38 40 42 73 46 48 50 52 63 56 58 60 62 66 68 70 72 76 78 80,41 3 5 7 9 60 61 13 15 17 19 80 71 23 25 27 29 70 51 33 35 37 39 50 43 45 47 49 53 55 57 59 63 65 67 69 73 75 77 79:3 6 4 4 3 4 3 3 6 4,6 7 6 7 7 7> {(2, 20): 'tau3^-1*t2', (2, 49): 't3', (0, 45): 'tau1', (1, 73): 't2^-1', (0, 55): 'tau1^-1', (2, 50): 't3^-1*tau2^-1', (1, 72): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 56): 'tau1^-1', (0, 46): 'tau1', (2, 29): 't2^-1', (1, 63): 't2', (2, 0): 'tau2^-1*t3^-1', (0, 60): 't2', (0, 10): 't2', (1, 62): 't2*tau3^-1*t1^-1*tau2*t3', (1, 53): 't3^-1', (2, 59): 't3^-1', (1, 22): 't1', (1, 12): 't1^-1', (0, 50): 't3^-1', (0, 40): 't3', (2, 19): 't2', (1, 43): 't3', (2, 60): 't2*tau3^-1', }