U-tiling: UQC4821
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1771 |
*222222 |
(4,6,2) |
{3,4,4,4} |
{16.3.16}{16.16.3.3}{16.16.16.16... |
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
|
|
sqc631
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,3} |
6 |
(4,6) |
|
G
|
False
|
|
sqc4455
|
|
C2/c |
15 |
monoclinic |
{3,4,4,4} |
12 |
(4,7) |
|
D
|
False
|
|
sqc4450
|
|
Imma |
74 |
orthorhombic |
{3,4,4,4} |
12 |
(4,6) |
Topological data
| Vertex degrees | {3,4,4,4} |
| 2D vertex symbol | {16.3.16}{16.16.3.3}{16.16.16.16}{16.16.16.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<82.2:88:23 3 5 50 8 10 22 34 14 16 72 19 21 25 27 83 30 32 44 36 38 61 41 43 78 47 49 52 54 77 67 58 60 63 65 88 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 88,45 4 5 61 62 63 53 54 33 67 15 16 83 84 85 75 76 44 78 26 27 72 73 74 86 87 56 37 38 50 51 52 64 65 48 49 88 59 60 77 70 71 81 82:16 3 3 3 3 16,3 4 4 4 3 4 4 4 3 4 3 4> {(2, 60): 't3^-1', (2, 61): 't3^-1', (2, 62): 't3^-1', (0, 60): 't3^-1*tau2^-1', (0, 22): 't1', (2, 55): 't3^-1*tau2^-1', (0, 54): 'tau1', (2, 49): 't3', (2, 50): 't3', (2, 51): 't3', (2, 44): 't3*tau2', (0, 44): 't3*tau2*t1^-1*tau3^-1*t2', (0, 33): 't1', (2, 28): 't2^-1', (0, 27): 'tau3^-1*t2', (2, 27): 't2^-1', (1, 80): 't2^-1*tau3', (2, 22): 'tau3^-1*t2', (2, 16): 't2', (2, 17): 't2', (2, 18): 't2', (2, 11): 'tau3*t2^-1', (0, 5): 'tau2^-1*t3^-1', (1, 58): 't3^-1*tau2^-1', (2, 29): 't2^-1', (0, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 47): 't3*tau2', (1, 14): 'tau3*t2^-1', (0, 65): 'tau1^-1', (0, 71): 't2*tau3^-1'}