U-tiling: UQC4819
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
|
|
sqc632
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,4} |
6 |
(4,6) |
|
G
|
False
|
|
sqc4631
|
|
C2/c |
15 |
monoclinic |
{3,4,4,4} |
12 |
(4,7) |
|
D
|
False
|
|
sqc4627
|
|
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
<82.3:88:45 3 5 61 8 10 33 67 14 16 83 19 21 44 78 25 27 72 30 32 56 36 38 50 41 43 47 49 52 54 88 58 60 63 65 77 69 71 74 76 80 82 85 87,2 7 59 6 9 11 13 18 81 17 20 22 24 29 70 28 31 33 35 40 48 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 50 51 52 31 32 22 78 15 16 72 73 74 42 43 67 26 27 83 84 85 44 45 37 38 61 62 63 48 49 86 87 77 59 60 75 76 88 70 71 81 82:16 3 16 3 3 3,3 4 4 4 3 4 4 3 4 3 4 4> {(0, 60): 't3^-1', (2, 54): 'tau1', (0, 49): 't3', (0, 54): 't3*tau2*t1^-1*tau3^-1*t2', (0, 55): 't3^-1*tau2^-1', (2, 44): 't3', (0, 43): 't1', (0, 44): 't3*tau2', (0, 32): 't1', (0, 27): 't2^-1', (1, 80): 't2^-1', (0, 16): 't2', (0, 22): 'tau3^-1*t2', (0, 11): 'tau3*t2^-1', (2, 11): 't2', (2, 0): 't3', (1, 58): 't3^-1', (1, 47): 't3', (1, 25): 't2^-1', (2, 87): 'tau1', (0, 76): 't2*tau3^-1*t1^-1*tau2*t3', (2, 22): 't2^-1'}