U-tiling: UQC2570
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1930 |
*222222 |
(2,6,5) |
{10,4} |
{4.4.3.3.4.4.3.3.4.4}{3.3.3.3} |
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
|
|
sqc360
|
|
Pmmm |
47 |
orthorhombic |
{4,8} |
3 |
(2,5) |
|
G
|
False
|
|
sqc5106
|
|
I212121 |
24 |
orthorhombic |
{10,4} |
6 |
(2,7) |
|
D
|
False
|
|
sqc859
|
|
P222 |
16 |
orthorhombic |
{10,4} |
3 |
(2,6) |
Topological data
| Vertex degrees | {10,4} |
| 2D vertex symbol | {4.4.3.3.4.4.3.3.4.4}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<117.1:96:25 50 51 16 17 8 9 34 35 60 37 62 63 20 21 46 47 72 74 75 40 41 32 33 84 86 87 44 45 96 73 64 65 56 57 82 83 85 68 69 94 95 88 89 80 81 92 93,2 4 6 10 20 33 12 14 16 18 22 45 24 26 28 30 34 44 36 38 40 42 46 48 50 52 54 58 68 81 60 62 64 66 70 93 72 74 76 78 82 92 84 86 88 90 94 96,13 3 5 7 9 11 24 15 17 19 21 23 37 27 29 31 33 35 48 39 41 43 45 47 61 51 53 55 57 59 72 63 65 67 69 71 85 75 77 79 81 83 96 87 89 91 93 95:4 4 3 3 4 4 3 4 4 3 3 3 3 3,10 4 10 10 4 10> {(0, 39): 'tau2^-1*t3^-1', (0, 16): 't1^-1', (0, 93): 'tau2^-1*t3^-1*tau1*t2', (0, 94): 'tau2^-1*t3^-1*tau1*t2', (0, 60): 't1', (2, 84): 't1^-1*tau3^-1*t2', (0, 75): 't3*tau2', (0, 62): 't1', (0, 61): 't1', (1, 68): 't2^-1*tau1^-1*t3*tau2', (0, 45): 'tau2^-1*t1', (1, 56): 't2^-1*tau1^-1', (0, 57): 't2^-1*tau1^-1', (0, 34): 't3', (0, 47): 't3*tau1^-1*t2^-1*tau3*t1', (0, 88): 'tau2^-1*t3^-1', (1, 20): 't1^-1*tau2', (2, 59): 't2^-1*tau3', (1, 43): 'tau2^-1*t3^-1', (1, 19): 't1^-1', (0, 40): 'tau2^-1*t3^-1', (1, 91): 'tau2^-1*t3^-1', (0, 11): 't2', (0, 33): 't3', (0, 23): 'tau3', (2, 48): 't2^-1*tau3', (0, 35): 't3*tau1^-1', (2, 95): 't1^-1*tau3^-1*t2', (0, 15): 't1^-1', (1, 32): 't3', (0, 46): 'tau2^-1*t1', (0, 58): 't2^-1*tau1^-1', }