U-tiling: UQC4913
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1788 |
*222222 |
(4,6,2) |
{4,4,4,6} |
{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.... |
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
|
|
sqc3541
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,5} |
10 |
(4,6) |
|
G
|
False
|
|
sqc4459
|
|
I212121 |
24 |
orthorhombic |
{4,4,4,6} |
10 |
(4,7) |
|
D
|
False
|
|
sqc610
|
|
P222 |
16 |
orthorhombic |
{4,4,6,4} |
5 |
(4,6) |
Topological data
| Vertex degrees | {4,4,4,6} |
| 2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4.7.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<95.1:88:12 3 5 7 9 32 33 14 16 18 20 43 44 34 25 27 29 31 36 38 40 42 56 47 49 51 53 76 77 58 60 62 64 87 88 78 69 71 73 75 80 82 84 86,2 4 6 18 10 11 13 15 17 21 22 24 26 28 40 32 33 35 37 39 43 44 46 48 50 62 54 55 57 59 61 65 66 68 70 72 84 76 77 79 81 83 87 88,23 46 47 15 16 8 9 21 55 34 57 58 19 20 66 68 69 37 38 30 31 43 77 79 80 41 42 88 67 59 60 52 53 65 78 63 64 81 82 74 75 87 85 86:7 4 4 7 7 4 4 7,4 4 4 6 4 4 4 6 4 4> {(2, 56): 't1', (2, 57): 't1', (2, 80): 'tau2^-1*t3^-1', (2, 54): 't2^-1', (2, 55): 't1', (0, 54): 't2^-1*tau1^-1', (0, 55): 'tau3^-1*t2', (0, 53): 't2^-1*tau1^-1', (0, 42): 'tau2^-1*t1', (0, 43): 'tau2^-1*t1', (2, 42): 'tau2^-1*t3^-1', (2, 43): 't3*tau1^-1*t2^-1*tau3*t1', (2, 36): 'tau2^-1*t3^-1', (2, 37): 'tau2^-1*t3^-1', (0, 32): 't3', (2, 32): 't3*tau1^-1', (2, 20): 't1^-1', (2, 21): 'tau3', (1, 83): 't1^-1*tau3^-1*t2', (2, 14): 't1^-1', (2, 15): 't1^-1', (1, 61): 'tau3^-1*t2', (2, 81): 'tau2^-1*t3^-1', (2, 86): 'tau2^-1*t3^-1', (0, 86): 'tau2^-1*t3^-1*tau1*t2', (0, 87): 'tau2^-1*t3^-1*tau1*t2', (0, 9): 't3^-1', (0, 77): 't1^-1*tau3^-1*t2'}