U-tiling: UQC1054
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc989 |
*222222 |
(2,5,3) |
{12,3} |
{4.3.8.8.3.4.4.3.8.8.3.4}{3.8.8} |
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
|
|
sqc2349
|
|
Cmma |
67 |
orthorhombic |
{3,12} |
6 |
(2,5) |
|
G
|
False
|
|
sqc2361
|
|
C2/c |
15 |
monoclinic |
{3,12} |
6 |
(2,6) |
|
D
|
True
|
|
sqc1231
|
|
Imma |
74 |
orthorhombic |
{3,8} |
6 |
(2,4) |
Topological data
| Vertex degrees | {12,3} |
| 2D vertex symbol | {4.3.8.8.3.4.4.3.8.8.3.4}{3.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.3:72:46 4 5 42 43 44 27 64 13 14 60 61 62 36 55 22 23 69 70 71 37 31 32 51 52 53 40 41 72 49 50 63 58 59 67 68,2 39 6 7 9 11 57 15 16 18 20 66 24 25 27 29 48 33 34 36 38 42 43 45 47 51 52 54 56 60 61 63 65 69 70 72,37 3 5 24 8 18 55 12 14 33 17 64 21 23 26 36 46 30 32 35 39 41 69 44 63 48 50 60 53 72 57 59 62 66 68 71:8 3 4 8 3 4 3 3,3 12 3 3 3 12> {(2, 53): 'tau1^-1', (0, 62): 't2*tau3^-1*t1^-1*tau2*t3', (0, 45): 't3^-1', (0, 6): 'tau2^-1*t3^-1', (0, 26): 't1', (2, 54): 't2*tau3^-1', (1, 56): 't2*tau3^-1', (0, 63): 't2^-1', (0, 52): 't3^-1*tau2^-1', (0, 35): 't1', (2, 62): 'tau1^-1', (2, 0): 'tau2^-1*t3^-1', (0, 60): 't2*tau3^-1', (0, 43): 't3*tau2', (2, 45): 't3^-1*tau2^-1', (2, 63): 't2^-1*tau3', (0, 24): 'tau3^-1*t2', (0, 36): 't3', (0, 61): 't2*tau3^-1', (0, 33): 'tau2*t3', (1, 47): 't3^-1*tau2^-1', (0, 54): 't2', (1, 38): 't3*tau2', (0, 44): 't3*tau2*t1^-1*tau3^-1*t2', (0, 25): 'tau3^-1*t2', (1, 65): 't2^-1*tau3', }