U-tiling: UQC1809
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc1346.jpg) |
hqc1346 |
*222222 |
(2,5,4) |
{5,10} |
{4.3.6.3.4}{3.6.4.4.6.3.6.4.4.6} |
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
|
|
sqc14542
|
|
Pmmm |
47 |
orthorhombic |
{8,5} |
3 |
(2,5) |
G
|
False
|
|
sqc3293
|
|
C2/c |
15 |
monoclinic |
{5,10} |
6 |
(2,6) |
D
|
False
|
|
sqc351
|
|
Cmmm |
65 |
orthorhombic |
{10,5} |
3 |
(2,5) |
Topological data
Vertex degrees | {5,10} |
2D vertex symbol | {4.3.6.3.4}{3.6.4.4.6.3.6.4.4.6} |
Dual tiling | ![Tiling details](/u_net_small_images/s222222a_FSGG_65_2_0.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<65.2:80:41 52 53 6 7 18 19 30 61 72 73 16 17 40 71 62 63 26 27 38 39 51 42 43 36 37 46 47 68 69 80 56 57 78 79 70 66 67 76 77,2 4 25 56 8 10 12 14 35 76 18 20 22 24 66 28 30 32 34 46 38 40 42 44 75 48 50 52 54 65 58 60 62 64 68 70 72 74 78 80,21 3 5 7 9 50 31 13 15 17 19 70 23 25 27 29 80 33 35 37 39 60 71 43 45 47 49 61 53 55 57 59 63 65 67 69 73 75 77 79:4 3 6 4 4 3 3 3 6 4,5 10 5 10 5 5> {(1, 34): 't1', (0, 51): 't3^-1', (0, 41): 't3', (2, 20): 't1', (0, 62): 't2', (2, 50): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 12): 't2', (1, 64): 't2*tau3^-1*t1^-1*tau2*t3', (0, 48): 'tau1', (1, 55): 't3^-1', (1, 45): 't3', (0, 52): 't3^-1', (0, 42): 't3', (2, 40): 't3*tau2*t1^-1*tau3^-1*t2', (1, 24): 't1', (0, 60): 't2*tau3^-1', (0, 20): 'tau3^-1*t2', (0, 57): 'tau1^-1', (0, 47): 'tau1', (2, 30): 't1', (1, 75): 't2^-1', (0, 61): 't2', (0, 50): 't3^-1*tau2^-1', (0, 40): 't3*tau2', (0, 11): 't2', (1, 74): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 65): 't2', (0, 58): 'tau1^-1', }