U-tiling: UQC2073
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1671 |
*222222 |
(2,6,4) |
{7,4} |
{4.4.8.3.8.4.4}{8.8.3.3} |
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
|
|
sqc3569
|
|
Cmma |
67 |
orthorhombic |
{6,4} |
8 |
(2,6) |
|
G
|
False
|
|
sqc4348
|
|
C2/c |
15 |
monoclinic |
{7,4} |
8 |
(2,7) |
|
D
|
False
|
|
sqc589
|
|
Cmmm |
65 |
orthorhombic |
{7,4} |
4 |
(2,6) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {4.4.8.3.8.4.4}{8.8.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<96.1:88:23 46 47 59 60 8 9 54 22 34 68 69 81 82 19 20 76 79 80 70 71 30 31 87 44 57 58 48 49 41 42 65 78 52 53 77 67 63 64 88 74 75 85 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 73 54 55 57 59 61 84 65 66 68 70 72 76 77 79 81 83 87 88,12 3 5 7 9 32 33 14 16 18 20 43 44 34 25 27 29 31 36 38 40 42 67 47 49 51 53 87 88 78 58 60 62 64 76 77 69 71 73 75 80 82 84 86:4 4 8 3 4 4 8 3 3 3,7 4 4 7 7 4 7 4> {(0, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 45): 't3*tau2', (0, 22): 't1', (0, 12): 'tau3*t2^-1', (0, 59): 't3^-1', (0, 26): 't2^-1', (0, 48): 't3', (0, 13): 'tau3*t2^-1', (2, 44): 'tau1', (0, 23): 'tau3^-1*t2', (1, 72): 'tau1^-1', (0, 56): 't3^-1*tau2^-1', (0, 46): 't3*tau2', (2, 55): 'tau1^-1', (0, 57): 't3^-1*tau2^-1', (0, 47): 't3', (0, 24): 'tau3^-1*t2', (0, 14): 't2', (0, 33): 't1', (0, 87): 'tau1', (0, 54): 'tau1', (0, 44): 't3*tau2*t1^-1*tau3^-1*t2', (0, 25): 't2^-1', (0, 15): 't2', (1, 61): 'tau1^-1', (0, 58): 't3^-1', }