U-tiling: UQC1272
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) |
|
G
|
False
|
|
sqc2320
|
|
I212121 |
24 |
orthorhombic |
{12,3} |
6 |
(2,6) |
|
D
|
False
|
|
sqc203
|
|
Pmmm |
47 |
orthorhombic |
{12,3} |
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 16 17 27 28 13 14 51 36 22 23 60 34 35 31 32 69 55 40 41 52 53 63 64 49 50 72 58 59 70 71 67 68,2 7 22 6 9 11 16 31 15 18 20 25 24 27 29 34 33 36 38 43 58 42 45 47 52 67 51 54 56 61 60 63 65 70 69 72,10 3 5 24 8 45 12 14 33 17 54 28 21 23 26 63 30 32 35 72 46 39 41 60 44 48 50 69 53 64 57 59 62 66 68 71:3 8 4 3 8 3 4 3,12 3 3 12 3 3> {(1, 66): 't1^-1', (0, 16): 't1^-1', (0, 61): 't3*tau2', (2, 53): 'tau3^-1', (0, 60): 't3*tau2', (0, 50): 't1', (0, 63): 't1^-1', (0, 53): 't2^-1*tau1^-1*t3*tau2', (0, 62): 'tau1*t2', (2, 45): 'tau3^-1*t2', (2, 50): 't1', (0, 33): 'tau2^-1*t3^-1', (2, 44): 't2^-1', (0, 35): 'tau2^-1*t1', (2, 63): 't1^-1*tau3^-1*t2', (0, 34): 'tau2^-1*t3^-1', (0, 15): 't1^-1', (2, 62): 'tau1*t3^-1', (2, 35): 't3*tau1^-1*t2^-1*tau3*t1', (0, 26): 't3', }