U-tiling: UQC4822
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
|
|
sqc634
|
|
Pmmm |
47 |
orthorhombic |
{4,4,3,4} |
6 |
(4,6) |
|
G
|
False
|
|
sqc4643
|
|
C2/c |
15 |
monoclinic |
{3,4,4,4} |
12 |
(4,7) |
|
D
|
False
|
|
sqc4644
|
|
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
<82.1:88:12 3 5 28 8 10 33 14 16 39 19 21 44 34 25 27 30 32 36 38 41 43 67 47 49 83 52 54 88 78 58 60 72 63 65 77 69 71 74 76 80 82 85 87,2 7 26 6 9 11 13 18 37 17 20 22 24 29 28 31 33 35 40 39 42 44 46 51 81 50 53 55 57 62 70 61 64 66 68 73 72 75 77 79 84 83 86 88,23 4 5 50 51 52 64 65 55 34 15 16 72 73 74 86 87 77 26 27 83 84 85 75 76 88 37 38 61 62 63 53 54 66 78 48 49 67 59 60 70 71 81 82:16 3 3 16 3 3,3 4 4 4 3 4 4 4 4 4 3 3> {(2, 60): 't3^-1*tau2^-1', (2, 61): 't3^-1*tau2^-1', (2, 62): 't3^-1*tau2^-1', (2, 63): 't3^-1', (0, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 52): 't3', (2, 53): 't3', (0, 49): 't3*tau2*t1^-1*tau3^-1*t2', (0, 55): 'tau1^-1', (2, 50): 't3*tau2', (2, 51): 't3*tau2', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (0, 44): 'tau1', (0, 38): 't1', (2, 33): 't1', (2, 28): 'tau3^-1*t2', (2, 29): 'tau3^-1*t2', (2, 30): 't2^-1', (2, 31): 't2^-1', (2, 27): 'tau3^-1*t2', (2, 20): 't2', (1, 80): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 22): 't1', (2, 16): 'tau3*t2^-1', (2, 17): 'tau3*t2^-1', (2, 18): 'tau3*t2^-1', (2, 19): 't2', (2, 9): 't3', (2, 5): 'tau2^-1*t3^-1', (1, 69): 't2*tau3^-1*t1^-1*tau2*t3', (0, 5): 't1^-1', (2, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 25): 't1', (1, 14): 't1^-1'}