U-tiling: UQC1664
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
|
False
|
|
sqc413
|
|
Pmmm |
47 |
orthorhombic |
{7,6} |
3 |
(2,5) |
|
G
|
False
|
|
sqc3356
|
|
C2/c |
15 |
monoclinic |
{6,7} |
6 |
(2,6) |
|
D
|
True
|
|
sqc264
|
|
Cmmm |
65 |
orthorhombic |
{6,6} |
3 |
(2,4) |
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
<58.1:80:21 4 5 46 47 58 59 50 31 14 15 66 67 78 79 70 24 25 76 77 68 69 80 34 35 56 57 48 49 60 71 44 45 61 54 55 64 65 74 75,2 23 24 6 8 10 12 33 34 16 18 20 22 26 28 30 32 36 38 40 42 73 74 46 48 50 52 63 64 56 58 60 62 66 68 70 72 76 78 80,11 3 5 7 9 30 13 15 17 19 40 31 23 25 27 29 33 35 37 39 61 43 45 47 49 80 71 53 55 57 59 70 63 65 67 69 73 75 77 79:3 6 4 4 3 6 4 4 3 3,6 7 7 6 7 7> {(0, 29): 'tau3^-1*t2', (1, 3): 't1^-1', (0, 18): 't2', (2, 49): 't3*tau2*t1^-1*tau3^-1*t2', (1, 73): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 59): 't3^-1*tau2^-1', (1, 33): 't1', (0, 48): 't3', (0, 19): 'tau3*t2^-1', (0, 30): 't1', (2, 50): 'tau1^-1', (0, 27): 't2^-1', (0, 49): 't3*tau2', (1, 63): 't2*tau3^-1*t1^-1*tau2*t3', (0, 60): 't2*tau3^-1*t1^-1*tau2*t3', (0, 20): 't1', (0, 57): 't3^-1', (0, 47): 't3', (0, 17): 't2', (2, 59): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 28): 't2^-1', (0, 40): 't3*tau2*t1^-1*tau3^-1*t2', (2, 39): 't1', (2, 9): 't1^-1', (2, 60): 'tau1^-1', (0, 58): 't3^-1', }