U-tiling: UQC5000
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1830 |
*222222 |
(4,5,2) |
{8,6,4,4} |
{6.4.4.6.6.4.4.6}{6.4.4.6.4.4}{4... |
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
|
|
sqc4078
|
|
Cmma |
67 |
orthorhombic |
{8,6,4,4} |
8 |
(4,5) |
|
G
|
False
|
|
sqc4079
|
|
C2/c |
15 |
monoclinic |
{8,6,4,4} |
8 |
(4,6) |
|
D
|
False
|
|
sqc4109
|
|
Imma |
74 |
orthorhombic |
{8,6,4,4} |
8 |
(4,5) |
Topological data
| Vertex degrees | {8,6,4,4} |
| 2D vertex symbol | {6.4.4.6.6.4.4.6}{6.4.4.6.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.3:88:45 3 5 7 9 11 67 14 16 18 20 22 78 25 27 29 31 33 56 36 38 40 42 44 47 49 51 53 55 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88,2 25 6 11 8 10 13 36 17 22 19 21 24 28 33 30 32 35 39 44 41 43 46 80 50 55 52 54 57 69 61 66 63 65 68 72 77 74 76 79 83 88 85 87,56 4 5 50 51 30 31 21 22 78 15 16 72 73 41 42 67 26 27 83 84 43 44 45 37 38 61 62 48 49 85 86 76 77 59 60 74 75 87 88 70 71 81 82:6 4 6 4 4 4 4 4 4 4,8 6 4 4 8 4 6 4> {(1, 24): 't1', (2, 87): 'tau1', (1, 79): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 86): 'tau1', (2, 53): 'tau1', (2, 54): 'tau1', (2, 55): 't3^-1', (0, 22): 'tau3^-1*t2', (0, 55): 't3^-1*tau2^-1', (1, 68): 't2*tau3^-1*t1^-1*tau2*t3', (2, 44): 't3', (0, 11): 'tau3*t2^-1', (0, 44): 't3*tau2', (2, 11): 't2', (1, 35): 't1', (2, 22): 't2^-1'}