U-tiling: UQC688
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc574 |
*222222 |
(2,5,3) |
{12,4} |
{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
|
|
sqc373
|
|
Pmmm |
47 |
orthorhombic |
{3,7} |
4 |
(2,5) |
|
G
|
False
|
|
sqc1595
|
|
I212121 |
24 |
orthorhombic |
{4,12} |
4 |
(2,5) |
|
D
|
False
|
|
sqc79
|
|
Pmmm |
47 |
orthorhombic |
{4,12} |
2 |
(2,5) |
Topological data
| Vertex degrees | {12,4} |
| 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
<11.1:64:17 3 20 21 38 39 16 25 11 28 29 46 47 19 54 55 32 27 62 63 49 35 52 53 48 57 43 60 61 51 64 59,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64,9 34 35 5 7 24 42 43 13 15 32 25 50 51 21 23 58 59 29 31 41 37 39 56 45 47 64 57 53 55 61 63:4 4 4 4 4 4 4 4,4 12 12 4> {(2, 56): 't1^-1*tau3^-1*t2', (0, 45): 't1', (2, 10): 'tau3', (0, 59): 't1^-1', (2, 58): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 23): 't3*tau2', (2, 15): 't1^-1*tau2', (0, 63): 'tau2^-1*t3^-1', (2, 50): 'tau1*t3^-1', (2, 17): 't3*tau1^-1', (0, 56): 't1^-1', (2, 40): 'tau3^-1*t2', (2, 55): 'tau1*t2', (2, 33): 't2^-1', (0, 60): 't1^-1', (0, 15): 't1^-1', (2, 63): 'tau2^-1*t3^-1*tau1*t2', (0, 14): 't1^-1', (2, 34): 't2^-1', (2, 23): 't3', (2, 57): 't1^-1*tau3^-1*t2*tau1*t3^-1', (2, 9): 'tau3', }