U-tiling: UQC2290
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/hqc1959.jpg) |
hqc1959 |
*222222 |
(2,7,4) |
{8,4} |
{4.4.4.4.4.4.4.4}{4.4.4.4} |
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
|
|
sqc4847
|
|
Cmma |
67 |
orthorhombic |
{8,4} |
8 |
(2,7) |
G
|
False
|
|
sqc4797
|
|
C2/c |
15 |
monoclinic |
{8,4} |
8 |
(2,8) |
D
|
True
|
|
sqc563
|
|
Cmmm |
65 |
orthorhombic |
{4,7} |
4 |
(2,5) |
Topological data
Vertex degrees | {8,4} |
2D vertex symbol | {4.4.4.4.4.4.4.4}{4.4.4.4} |
Dual tiling | ![Tiling details](/u_net_small_images/s222222a_FSGG_102_2_0.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<102.2:96:49 4 5 54 55 56 57 34 35 24 73 16 17 78 79 80 81 46 47 85 28 29 90 91 92 93 48 61 40 41 66 67 68 69 52 53 94 95 84 64 65 82 83 96 76 77 88 89,2 8 6 7 10 12 14 20 18 19 22 24 26 32 30 31 34 36 38 44 42 43 46 48 50 56 54 55 58 60 62 68 66 67 70 72 74 80 78 79 82 84 86 92 90 91 94 96,25 3 5 66 67 9 11 36 37 15 17 90 91 21 23 48 27 29 78 79 33 35 39 41 54 55 45 47 85 51 53 57 59 96 73 63 65 69 71 84 75 77 81 83 87 89 93 95:4 4 4 4 4 4 4 4 4 4 4 4,8 4 8 4 4 4 8 8> {(0, 29): 'tau3^-1*t2', (2, 53): 't3', (2, 47): 't1', (0, 12): 'tau3*t2^-1', (2, 36): 't1', (0, 59): 'tau1', (0, 71): 'tau1^-1', (2, 54): 't3', (2, 6): 't3', (2, 24): 't1', (2, 17): 't2', (2, 29): 't2^-1', (0, 60): 't3^-1*tau2^-1', (2, 30): 't2^-1', (0, 53): 't3*tau2', (2, 18): 't2', (0, 65): 't3^-1*tau2^-1', (2, 5): 't3', (2, 71): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 24): 'tau3^-1*t2', (0, 17): 'tau3*t2^-1', (2, 59): 't3*tau2*t1^-1*tau3^-1*t2', (0, 0): 'tau2^-1*t3^-1', (2, 48): 't3*tau2*t1^-1*tau3^-1*t2', (2, 35): 't1', (2, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', }