U-tiling: UQC4840
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1774 |
*222222 |
(4,6,2) |
{8,3,4,4} |
{3.8.8.3.3.8.8.3}{3.8.8}{8.8.8.8... |
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
|
|
sqc616
|
|
Pmmm |
47 |
orthorhombic |
{8,3,4,4} |
5 |
(4,6) |
|
G
|
False
|
|
sqc4055
|
|
C2/c |
15 |
monoclinic |
{8,3,4,4} |
10 |
(4,7) |
|
D
|
False
|
|
sqc4054
|
|
Imma |
74 |
orthorhombic |
{8,3,4,4} |
10 |
(4,6) |
Topological data
| Vertex degrees | {8,3,4,4} |
| 2D vertex symbol | {3.8.8.3.3.8.8.3}{3.8.8}{8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<84.3:88:45 3 5 7 19 10 22 67 14 16 18 21 78 25 27 29 41 32 44 56 36 38 40 43 47 49 51 74 54 77 58 60 62 85 65 88 69 71 73 76 80 82 84 87,2 47 6 9 8 11 13 69 17 20 19 22 24 80 28 31 30 33 35 58 39 42 41 44 46 50 53 52 55 57 61 64 63 66 68 72 75 74 77 79 83 86 85 88,56 4 5 50 51 30 53 54 33 78 15 16 72 73 41 75 76 44 67 26 27 83 84 86 87 45 37 38 61 62 64 65 48 49 85 88 59 60 74 77 70 71 81 82:3 8 3 3 8 3 8 8,8 3 4 4 8 3 4 4 3 3> {(2, 63): 't3^-1*tau2^-1', (0, 62): 'tau1^-1', (0, 44): 't3*tau2', (2, 52): 't3*tau2', (0, 51): 'tau1', (2, 54): 't3*tau2*t1^-1*tau3^-1*t2', (2, 55): 't3^-1', (0, 54): 'tau1', (0, 55): 't3^-1*tau2^-1', (2, 44): 't3', (2, 42): 'tau2*t3', (2, 43): 't1', (2, 32): 't1', (2, 30): 'tau3^-1*t2', (2, 31): 'tau3^-1*t2', (2, 20): 'tau3*t2^-1', (2, 22): 't2^-1', (0, 22): 'tau3^-1*t2', (2, 19): 'tau3*t2^-1', (0, 11): 'tau3*t2^-1', (2, 9): 'tau2^-1*t3^-1', (1, 79): 't2^-1*tau3', (2, 11): 't2', (1, 68): 't2*tau3^-1', (1, 46): 't3*tau2', (1, 35): 'tau2*t3', (0, 87): 'tau1', (2, 76): 't2*tau3^-1*t1^-1*tau2*t3'}