U-tiling: UQC4870
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1780 |
*222222 |
(4,6,2) |
{4,4,3,4} |
{5.5.5.5}{5.12.12.5}{5.12.12}{12... |
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
|
|
sqc4568
|
|
Cmma |
67 |
orthorhombic |
{4,4,3,4} |
12 |
(4,6) |
|
G
|
False
|
|
sqc4491
|
|
C2/c |
15 |
monoclinic |
{4,4,3,4} |
12 |
(4,7) |
|
D
|
False
|
|
sqc4492
|
|
Imma |
74 |
orthorhombic |
{4,4,3,4} |
12 |
(4,6) |
Topological data
| Vertex degrees | {4,4,3,4} |
| 2D vertex symbol | {5.5.5.5}{5.12.12.5}{5.12.12}{12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<89.1:88:12 3 5 7 63 10 55 14 16 18 85 21 77 34 25 27 29 74 32 88 36 38 40 52 43 66 67 47 49 51 54 78 58 60 62 65 69 71 73 76 80 82 84 87,2 4 16 8 9 11 13 15 19 20 22 24 26 38 30 31 33 35 37 41 42 44 46 48 71 52 53 55 57 59 82 63 64 66 68 70 74 75 77 79 81 85 86 88,23 46 47 6 7 52 20 21 33 34 68 69 17 18 74 44 79 80 28 29 85 42 43 57 58 39 40 63 78 50 51 75 76 88 67 61 62 86 87 77 72 73 83 84:5 12 12 5 5 5,4 4 3 4 4 4 4 3 4 3 4 3> {(2, 62): 't3^-1*tau2^-1', (2, 63): 'tau1^-1', (2, 56): 't3^-1*tau2^-1', (2, 57): 't3^-1*tau2^-1', (2, 52): 'tau1', (2, 53): 'tau1', (2, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 55): 'tau1^-1', (2, 51): 't3*tau2', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (2, 45): 't3*tau2', (0, 40): 't3^-1', (0, 44): 'tau1', (0, 62): 't3^-1', (2, 33): 't1', (2, 29): 'tau3^-1*t2', (2, 24): 'tau3^-1*t2', (0, 29): 't2^-1', (0, 18): 't2', (2, 22): 't1', (2, 23): 'tau3^-1*t2', (2, 18): 'tau3*t2^-1', (2, 12): 'tau3*t2^-1', (2, 13): 'tau3*t2^-1', (2, 2): 'tau2^-1*t3^-1', (1, 70): 'tau1^-1', (1, 59): 'tau1^-1', (2, 86): 'tau1'}