U-tiling: UQC4131
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1443 |
*222222 |
(3,6,2) |
{4,8,4} |
{6.4.4.6}{6.6.4.4.6.6.4.4}{6.6.6.6} |
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
|
|
sqc3605
|
|
Cmma |
67 |
orthorhombic |
{4,8,4} |
8 |
(3,6) |
|
G
|
False
|
|
sqc3604
|
|
C2/c |
15 |
monoclinic |
{4,8,4} |
8 |
(3,7) |
|
D
|
False
|
|
sqc459
|
|
P6/mmm |
191 |
hexagonal |
{4,8} |
4 |
(2,3) |
Topological data
| Vertex degrees | {4,8,4} |
| 2D vertex symbol | {6.4.4.6}{6.6.4.4.6.6.4.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<51.3:80:41 3 5 46 47 9 50 61 13 15 66 67 19 70 71 23 25 76 77 29 80 51 33 35 56 57 39 60 43 45 49 53 55 59 63 65 69 73 75 79,2 8 6 7 10 12 18 16 17 20 22 28 26 27 30 32 38 36 37 40 42 48 46 47 50 52 58 56 57 60 62 68 66 67 70 72 78 76 77 80,51 4 5 56 27 18 19 30 71 14 15 76 37 40 61 24 25 66 38 39 41 34 35 46 44 45 77 68 69 80 54 55 67 78 79 70 64 65 74 75:6 4 6 4 6 4 6 4,4 8 4 4 4 4 8 4> {(2, 60): 't2', (0, 59): 't3^-1*tau2^-1', (2, 57): 'tau1^-1', (2, 58): 'tau1^-1', (2, 59): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 50): 't3^-1*tau2^-1', (2, 55): 't3^-1', (2, 48): 'tau1', (2, 49): 't3*tau2*t1^-1*tau3^-1*t2', (2, 50): 't3^-1', (2, 45): 't3', (0, 40): 't3*tau2', (2, 47): 'tau1', (2, 40): 't3', (2, 15): 't2', (2, 39): 't1', (2, 29): 't1', (0, 60): 't2*tau3^-1', (0, 29): 'tau3^-1*t2', (0, 19): 'tau3*t2^-1', (0, 20): 'tau3^-1*t2', (0, 9): 'tau2^-1*t3^-1', (2, 10): 't2', (2, 25): 't2^-1'}