U-tiling: UQC922
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc671 |
*222222 |
(2,4,3) |
{10,6} |
{4.4.4.4.4.4.4.4.4.4}{4.4.4.4.4.4} |
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
|
|
sqc839
|
|
Pmmm |
47 |
orthorhombic |
{5,7} |
4 |
(2,4) |
|
G
|
False
|
|
sqc1793
|
|
I212121 |
24 |
orthorhombic |
{6,10} |
4 |
(2,5) |
|
D
|
False
|
|
sqc85
|
|
Pmmm |
47 |
orthorhombic |
{6,10} |
2 |
(2,4) |
Topological data
| Vertex degrees | {10,6} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4.4.4}{4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<23.1:64:17 4 5 22 23 40 25 12 13 30 31 48 20 21 56 28 29 64 49 36 37 54 55 57 44 45 62 63 52 53 60 61,2 35 6 21 8 10 43 14 29 16 18 51 22 24 26 59 30 32 34 38 53 40 42 46 61 48 50 54 56 58 62 64,9 3 5 7 16 11 13 15 25 19 21 23 32 27 29 31 41 35 37 39 48 43 45 47 57 51 53 55 64 59 61 63:4 4 4 4 4 4 4 4,6 10 6 10> {(1, 34): 't2^-1', (0, 61): 't1^-1', (0, 62): 't1^-1', (1, 28): 'tau2^-1*t1', (2, 15): 't1^-1', (1, 58): 't1^-1*tau3^-1*t2*tau1*t3^-1', (2, 56): 't1^-1*tau3^-1*t2', (1, 50): 'tau1*t3^-1', (0, 47): 't1', (2, 32): 't2^-1*tau3', (1, 20): 't3', (2, 63): 'tau2^-1*t3^-1', (1, 42): 'tau3^-1', (0, 56): 't1^-1', (2, 31): 'tau2^-1*t3^-1', (1, 60): 'tau2^-1*t3^-1*tau1*t2', (1, 52): 'tau1*t2', }