U-tiling: UQC4921
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1790 |
*222222 |
(4,6,2) |
{4,4,4,3} |
{7.7.7.7}{7.7.7.7}{7.8.8.7}{7.8.8} |
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
|
|
sqc4297
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,3} |
12 |
(4,6) |
|
G
|
False
|
|
sqc4666
|
|
C2/c |
15 |
monoclinic |
{4,4,4,3} |
12 |
(4,7) |
|
D
|
False
|
|
sqc4665
|
|
Imma |
74 |
orthorhombic |
{4,4,4,3} |
12 |
(4,6) |
Topological data
| Vertex degrees | {4,4,4,3} |
| 2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.8.8.7}{7.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<97.2:88:23 3 5 7 9 32 22 34 14 16 18 20 43 25 27 29 31 44 36 38 40 42 78 47 49 51 53 87 77 67 58 60 62 64 76 88 69 71 73 75 80 82 84 86,2 4 6 29 10 11 13 15 17 40 21 22 24 26 28 32 33 35 37 39 43 44 46 48 50 84 54 55 57 59 61 73 65 66 68 70 72 76 77 79 81 83 87 88,45 57 58 48 49 8 9 54 33 67 79 80 70 71 19 20 76 44 78 68 69 81 82 30 31 87 56 46 47 59 60 41 42 65 52 53 88 63 64 77 74 75 85 86:7 8 7 7 8 7,4 4 4 3 4 4 4 3 4 4 3 3> {(2, 56): 't3^-1', (2, 57): 't3^-1', (2, 54): 't3*tau2*t1^-1*tau3^-1*t2', (2, 55): 't3^-1*tau2^-1', (0, 54): 'tau1', (0, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 44): 't3*tau2', (2, 45): 't3', (2, 46): 't3', (0, 44): 't3*tau2*t1^-1*tau3^-1*t2', (2, 43): 't1', (0, 33): 't1', (2, 32): 't1', (2, 24): 't2^-1', (2, 22): 'tau3^-1*t2', (2, 23): 't2^-1', (0, 22): 't1', (2, 12): 't2', (2, 13): 't2', (2, 11): 'tau3*t2^-1', (1, 61): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 50): 't3*tau2*t1^-1*tau3^-1*t2', (1, 39): 't1', (0, 87): 'tau1', (2, 65): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 6): 't1^-1'}