U-tiling: UQC1237
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1051 |
*222222 |
(2,5,3) |
{12,6} |
{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3.... |
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
|
|
sqc1019
|
|
Pmmm |
47 |
orthorhombic |
{8,5} |
4 |
(2,5) |
|
G
|
False
|
|
sqc2311
|
|
I212121 |
24 |
orthorhombic |
{12,6} |
4 |
(2,6) |
|
D
|
False
|
|
sqc199
|
|
Pmmm |
47 |
orthorhombic |
{12,6} |
2 |
(2,5) |
Topological data
| Vertex degrees | {12,6} |
| 2D vertex symbol | {4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.1:72:19 4 5 15 16 17 27 28 13 14 36 22 23 33 34 35 31 32 55 40 41 51 52 53 63 64 49 50 72 58 59 69 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 42 8 45 12 14 51 17 54 28 21 23 60 26 63 30 32 69 35 72 46 39 41 44 48 50 53 64 57 59 62 66 68 71:3 4 4 3 4 3 4 4 3 4,12 6 6 12> {(2, 53): 'tau3^-1', (1, 48): 't1', (0, 62): 'tau1*t2', (0, 5): 't1', (0, 59): 't3*tau2', (0, 26): 't3', (0, 63): 't1^-1', (2, 50): 't1', (2, 44): 't2^-1', (0, 35): 'tau2^-1*t1', (2, 62): 'tau1*t3^-1', (0, 16): 't1^-1', (0, 60): 't3*tau2', (0, 53): 't2^-1*tau1^-1*t3*tau2', (2, 45): 'tau3^-1*t2', (0, 32): 'tau2^-1*t3^-1', (2, 63): 't1^-1*tau3^-1*t2', (0, 61): 't3*tau2', (0, 33): 'tau2^-1*t3^-1', (0, 25): 't3*tau2', (0, 15): 't1^-1', (2, 35): 't3*tau1^-1*t2^-1*tau3*t1', }