U-tiling: UQC3981
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1121 |
*222222 |
(3,5,2) |
{3,4,4} |
{12.6.12}{12.12.6.6}{12.12.12.12} |
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
|
|
sqc2512
|
|
Cmma |
67 |
orthorhombic |
{3,4,4} |
10 |
(3,5) |
|
G
|
False
|
|
sqc3011
|
|
C2/c |
15 |
monoclinic |
{3,4,4} |
10 |
(3,6) |
|
D
|
False
|
|
sqc3010
|
|
Imma |
74 |
orthorhombic |
{3,4,4} |
10 |
(3,5) |
Topological data
| Vertex degrees | {3,4,4} |
| 2D vertex symbol | {12.6.12}{12.12.6.6}{12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.3:72:37 3 5 42 8 27 55 12 14 60 17 36 64 21 23 69 26 46 30 32 51 35 39 41 44 72 48 50 53 63 57 59 62 66 68 71,2 7 49 6 9 11 16 67 15 18 20 25 58 24 27 29 34 40 33 36 38 43 42 45 47 52 51 54 56 61 60 63 65 70 69 72,46 4 5 24 25 26 18 64 13 14 33 34 35 55 22 23 36 37 31 32 40 41 69 70 71 63 49 50 60 61 62 72 58 59 67 68:12 6 12 6,3 4 4 3 4 3 3 4 4 4> {(0, 26): 't1', (1, 57): 't2', (2, 62): 'tau1^-1', (2, 63): 't2^-1', (0, 62): 't2*tau3^-1*t1^-1*tau2*t3', (0, 63): 't2^-1*tau3', (1, 48): 't3^-1', (2, 53): 'tau1^-1', (2, 54): 't2', (0, 54): 't2*tau3^-1', (2, 45): 't3^-1', (1, 39): 't3', (0, 44): 't3*tau2*t1^-1*tau3^-1*t2', (0, 45): 't3^-1*tau2^-1', (2, 36): 't3', (0, 35): 't1', (1, 66): 't2^-1', (0, 36): 't3*tau2'}