U-tiling: UQC4027
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1129 |
*222222 |
(3,5,2) |
{4,8,3} |
{5.5.5.5}{5.8.8.5.5.8.8.5}{5.8.8} |
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
|
|
sqc2952
|
|
Cmma |
67 |
orthorhombic |
{4,8,3} |
8 |
(3,5) |
|
G
|
False
|
|
sqc2959
|
|
C2/c |
15 |
monoclinic |
{4,8,3} |
8 |
(3,6) |
|
D
|
False
|
|
sqc2955
|
|
Imma |
74 |
orthorhombic |
{3,8,4} |
8 |
(3,5) |
Topological data
| Vertex degrees | {4,8,3} |
| 2D vertex symbol | {5.5.5.5}{5.8.8.5.5.8.8.5}{5.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<41.2:72:19 3 5 7 26 18 28 12 14 16 35 21 23 25 36 30 32 34 64 39 41 43 71 63 55 48 50 52 62 72 57 59 61 66 68 70,2 4 23 8 9 11 13 32 17 18 20 22 26 27 29 31 35 36 38 40 68 44 45 47 49 59 53 54 56 58 62 63 65 67 71 72,37 47 48 6 7 44 27 55 65 66 15 16 62 36 64 56 57 24 25 71 46 38 39 33 34 53 42 43 72 51 52 63 60 61 69 70:5 8 5 5 8 5,4 8 3 4 8 3 3 3> {(2, 62): 't2*tau3^-1*t1^-1*tau2*t3', (2, 63): 't2^-1*tau3', (0, 62): 'tau1^-1', (0, 63): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 54): 't2*tau3^-1', (2, 55): 't2', (0, 54): 't2*tau3^-1*t1^-1*tau2*t3', (0, 53): 'tau1^-1', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (2, 45): 't3^-1*tau2^-1', (2, 46): 't3^-1', (2, 47): 't3^-1', (2, 37): 't3', (2, 36): 't3*tau2', (2, 56): 't2', (2, 38): 't3', (2, 35): 't1', (2, 26): 't1', (0, 9): 't1^-1', (2, 10): 't2', (2, 11): 't2', (0, 0): 't1^-1', (1, 58): 't2*tau3^-1*t1^-1*tau2*t3', (1, 40): 't3*tau2*t1^-1*tau3^-1*t2', (1, 31): 't1', (1, 22): 't1'}