U-tiling: UQC1649
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1272 |
*222222 |
(2,5,4) |
{14,3} |
{4.4.3.6.3.4.4.4.4.3.6.3.4.4}{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
|
|
sqc48
|
|
Pmmm |
47 |
orthorhombic |
{3,8} |
3 |
(2,4) |
|
G
|
False
|
|
sqc3108
|
|
C2/c |
15 |
monoclinic |
{3,14} |
6 |
(2,6) |
|
D
|
True
|
|
sqc1614
|
|
Imma |
74 |
orthorhombic |
{3,10} |
6 |
(2,5) |
Topological data
| Vertex degrees | {14,3} |
| 2D vertex symbol | {4.4.3.6.3.4.4.4.4.3.6.3.4.4}{3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<57.3:80:51 4 5 46 47 28 29 20 71 14 15 66 67 38 39 61 24 25 76 77 40 41 34 35 56 57 44 45 78 79 70 54 55 68 69 80 64 65 74 75,2 43 44 6 8 10 12 63 64 16 18 20 22 73 74 26 28 30 32 53 54 36 38 40 42 46 48 50 52 56 58 60 62 66 68 70 72 76 78 80,41 3 5 7 9 30 61 13 15 17 19 40 71 23 25 27 29 51 33 35 37 39 43 45 47 49 80 53 55 57 59 70 63 65 67 69 73 75 77 79:6 3 4 4 6 3 4 3 3 4,3 14 3 14 3 3> {(2, 20): 'tau3^-1*t2', (0, 55): 't3^-1*tau2^-1', (0, 45): 't3*tau2', (1, 42): 't3*tau2', (0, 59): 'tau1^-1', (0, 26): 'tau3^-1*t2', (0, 48): 't3*tau2*t1^-1*tau3^-1*t2', (0, 18): 't1^-1', (2, 50): 't3^-1*tau2^-1', (1, 72): 't2^-1*tau3', (0, 56): 't3^-1*tau2^-1', (2, 40): 't3*tau2', (0, 27): 't1', (0, 49): 'tau1', (0, 16): 'tau3*t2^-1', (0, 6): 'tau2^-1*t3^-1', (0, 60): 't2', (0, 10): 't2', (0, 57): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 47): 't3*tau2*t1^-1*tau3^-1*t2', (1, 62): 't2*tau3^-1', (0, 28): 't1', (0, 50): 't3^-1', (0, 40): 't3', (0, 25): 'tau3^-1*t2', (0, 15): 'tau3*t2^-1', (0, 37): 't1', (0, 58): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 52): 't3^-1*tau2^-1', (2, 60): 't2*tau3^-1', }