U-tiling: UQC1274
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1057 |
*222222 |
(2,5,3) |
{12,3} |
{4.8.3.3.8.4.4.8.3.3.8.4}{8.8.3} |
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
|
|
sqc102
|
|
Pmmm |
47 |
orthorhombic |
{10,3} |
3 |
(2,5) |
|
G
|
False
|
|
sqc2314
|
|
C2/c |
15 |
monoclinic |
{12,3} |
6 |
(2,6) |
|
D
|
False
|
|
sqc212
|
|
Cmmm |
65 |
orthorhombic |
{3,12} |
3 |
(2,5) |
Topological data
| Vertex degrees | {12,3} |
| 2D vertex symbol | {4.8.3.3.8.4.4.8.3.3.8.4}{8.8.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<36.1:72:19 4 5 42 52 53 45 28 13 14 60 70 71 63 22 23 69 61 62 72 31 32 51 43 44 54 64 40 41 55 49 50 58 59 67 68,2 7 22 6 9 11 16 31 15 18 20 25 24 27 29 34 33 36 38 43 67 42 45 47 52 58 51 54 56 61 60 63 65 70 69 72,10 3 5 24 8 27 12 14 33 17 36 28 21 23 26 30 32 35 55 39 41 69 44 72 64 48 50 60 53 63 57 59 62 66 68 71:3 8 4 3 8 4 3 3,12 3 3 12 3 3> {(1, 21): 't1', (0, 51): 't3^-1', (1, 57): 't2*tau3^-1*t1^-1*tau2*t3', (0, 41): 't3*tau2', (0, 18): 't1', (2, 54): 'tau1^-1', (2, 32): 't1', (0, 63): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 52): 't3^-1', (0, 42): 't3', (0, 23): 'tau3^-1*t2', (0, 27): 't1', (0, 16): 't2', (0, 60): 't2', (0, 43): 't3', (0, 61): 't2', (2, 63): 'tau1', (1, 39): 't3*tau2*t1^-1*tau3^-1*t2', (2, 41): 't3*tau2*t1^-1*tau3^-1*t2', (0, 14): 'tau3*t2^-1', (2, 23): 't1', (2, 59): 't2*tau3^-1*t1^-1*tau2*t3', (0, 50): 't3^-1*tau2^-1', (0, 54): 't2*tau3^-1*t1^-1*tau2*t3', (0, 15): 't2', (1, 30): 't1', }