U-tiling: UQC1055
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
|
True
|
|
sqc48
|
|
Pmmm |
47 |
orthorhombic |
{3,8} |
3 |
(2,4) |
|
G
|
False
|
|
sqc2324
|
|
I4122 |
98 |
tetragonal |
{3,12} |
6 |
(2,4) |
|
D
|
False
|
|
sqc198
|
|
P222 |
16 |
orthorhombic |
{12,3} |
3 |
(2,5) |
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
<29.1:72:19 4 5 42 16 17 45 28 13 14 51 54 22 23 60 34 35 63 31 32 69 72 55 40 41 52 53 64 49 50 58 59 70 71 67 68,2 12 6 7 9 11 15 16 18 20 30 24 25 27 29 33 34 36 38 48 42 43 45 47 51 52 54 56 66 60 61 63 65 69 70 72,10 3 5 15 8 27 12 14 17 36 28 21 23 33 26 30 32 35 46 39 41 51 44 63 48 50 53 72 64 57 59 69 62 66 68 71:8 3 4 8 3 4 3 3,3 12 3 3 12 3> {(1, 47): 'tau3^-1*t2', (2, 59): 't3*tau2', (2, 53): 't2^-1*tau1^-1*t3*tau2', (0, 60): 't2^-1*tau3*t1', (0, 50): 't1', (0, 63): 't1^-1', (2, 14): 't1^-1', (0, 53): 'tau3^-1', (0, 62): 'tau1*t3^-1', (2, 45): 'tau3^-1*t2', (0, 61): 't2^-1*tau3*t1', (0, 52): 'tau3^-1*t2', (0, 35): 't3*tau1^-1*t2^-1*tau3*t1', (0, 44): 't2^-1', (2, 63): 't1^-1*tau3^-1*t2', (2, 62): 'tau1*t2', (2, 35): 'tau2^-1*t1', (0, 42): 't2^-1*tau3', (1, 65): 't1^-1*tau3^-1*t2', (2, 23): 't3*tau2', (2, 26): 't3', }