U-tiling: UQC4812
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1769 |
*222222 |
(4,6,2) |
{6,4,4,4} |
{8.3.8.8.3.8}{8.8.3.3}{8.8.8.8}{... |
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
|
False
|
|
sqc607
|
|
Pmmm |
47 |
orthorhombic |
{6,4,4,4} |
5 |
(4,6) |
|
G
|
False
|
|
sqc4154
|
|
C2/c |
15 |
monoclinic |
{6,4,4,4} |
10 |
(4,7) |
|
D
|
False
|
|
sqc4638
|
|
Imma |
74 |
orthorhombic |
{6,4,4,4} |
10 |
(4,6) |
Topological data
| Vertex degrees | {6,4,4,4} |
| 2D vertex symbol | {8.3.8.8.3.8}{8.8.3.3}{8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<80.3:88:45 3 5 50 8 10 55 67 14 16 72 19 21 77 78 25 27 83 30 32 88 56 36 38 61 41 43 66 47 49 52 54 58 60 63 65 69 71 74 76 80 82 85 87,2 7 48 6 9 11 13 18 70 17 20 22 24 29 81 28 31 33 35 40 59 39 42 44 46 51 50 53 55 57 62 61 64 66 68 73 72 75 77 79 84 83 86 88,56 4 5 28 29 30 20 21 33 78 15 16 39 40 41 44 67 26 27 42 43 45 37 38 48 49 83 84 85 75 76 88 59 60 72 73 74 86 87 77 70 71 81 82:8 3 8 3 8 3 8 3,6 4 4 4 6 4 4 4 4 4> {(2, 76): 't2*tau3^-1*t1^-1*tau2*t3', (2, 63): 'tau1^-1', (2, 86): 'tau1', (0, 11): 'tau3*t2^-1', (2, 52): 'tau1', (2, 53): 'tau1', (2, 54): 't3*tau2*t1^-1*tau3^-1*t2', (2, 55): 't3^-1', (0, 54): 't3*tau2', (0, 55): 't3^-1*tau2^-1', (0, 21): 'tau3*t2^-1', (2, 44): 't3', (0, 43): 'tau2*t3', (2, 11): 't2', (0, 44): 't3*tau2', (2, 43): 't1', (0, 32): 'tau3^-1*t2', (2, 32): 't1', (2, 22): 't2^-1', (0, 22): 'tau3^-1*t2'}