U-tiling: UQC1188
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1042 |
*222222 |
(2,5,3) |
{10,4} |
{4.4.6.4.4.4.4.6.4.4}{4.4.6.6} |
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
|
True
|
|
sqc1869
|
|
Cmma |
67 |
orthorhombic |
{8,4} |
6 |
(2,5) |
G
|
False
|
|
sqc2537
|
|
C2/c |
15 |
monoclinic |
{10,4} |
6 |
(2,6) |
D
|
False
|
|
sqc2536
|
|
Imma |
74 |
orthorhombic |
{10,4} |
6 |
(2,5) |
Topological data
Vertex degrees | {10,4} |
2D vertex symbol | {4.4.6.4.4.4.4.6.4.4}{4.4.6.6} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<42.2:72:37 47 48 6 7 53 27 55 65 66 15 16 71 36 64 56 57 24 25 62 46 38 39 33 34 44 42 43 72 51 52 63 60 61 69 70,2 4 14 8 9 11 13 17 18 20 22 32 26 27 29 31 35 36 38 40 59 44 45 47 49 68 53 54 56 58 62 63 65 67 71 72,19 3 5 7 44 45 28 12 14 16 62 63 21 23 25 71 72 30 32 34 53 54 64 39 41 43 55 48 50 52 57 59 61 66 68 70:4 4 6 4 4 4 4 6,10 4 4 4 4 10> {(0, 55): 't2', (0, 45): 't3^-1*tau2^-1', (2, 54): 't2*tau3^-1*t1^-1*tau2*t3', (0, 38): 't3', (0, 63): 't2^-1*tau3', (0, 52): 't3^-1', (0, 56): 't2', (0, 46): 't3^-1', (0, 16): 't2', (2, 0): 't1^-1', (0, 43): 't3', (0, 10): 't2', (2, 63): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 47): 't3^-1', (0, 36): 't3*tau2', (0, 61): 't2', (1, 58): 'tau1^-1', (0, 11): 't2', (1, 49): 'tau1^-1', (0, 54): 't2*tau3^-1', (2, 9): 't1^-1', (0, 37): 't3', }