U-tiling: UQC4420
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/hqc1430.jpg) |
hqc1430 |
*222222 |
(4,6,2) |
{4,4,4,4} |
{4.8.8.4}{8.8.8.8}{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
|
|
sqc438
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4} |
5 |
(4,6) |
G
|
False
|
|
sqc3611
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4} |
10 |
(4,6) |
D
|
False
|
|
sqc3619
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4} |
10 |
(4,6) |
Topological data
Vertex degrees | {4,4,4,4} |
2D vertex symbol | {4.8.8.4}{8.8.8.8}{8.8.8.8}{8.8.8.8} |
Dual tiling | ![Tiling details](/u_net_small_images/s222222a_FSGG_47_2_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<47.2:80:21 12 13 5 7 9 20 31 15 17 19 32 33 25 27 29 40 35 37 39 71 62 63 45 47 49 70 61 72 73 55 57 59 80 65 67 69 75 77 79,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80,41 3 44 45 56 57 48 49 30 61 13 64 65 76 77 68 69 40 71 23 74 75 66 67 78 79 51 33 54 55 46 47 58 59 43 80 53 70 63 73:4 8 8 4 8 8,4 4 4 4 4 4 4 4 4 4> {(2, 60): 't2*tau3^-1', (0, 59): 'tau1^-1', (2, 63): 't2*tau3^-1', (0, 62): 'tau1^-1', (0, 60): 't2*tau3^-1*t1^-1*tau2*t3', (0, 61): 'tau1^-1', (0, 51): 'tau1^-1', (2, 54): 't3^-1*tau2^-1', (0, 49): 'tau1', (0, 52): 'tau1^-1', (2, 45): 't3', (0, 40): 't3*tau2*t1^-1*tau3^-1*t2', (2, 40): 't3*tau2', (2, 43): 't3*tau2', (2, 36): 't3^-1', (2, 56): 't3^-1', (2, 33): 'tau2*t3', (2, 30): 'tau2*t3', (2, 24): 'tau3^-1*t2', (2, 25): 't2^-1', (2, 26): 't2^-1', (2, 20): 'tau3^-1*t2', (2, 23): 'tau3^-1*t2', (2, 16): 't2', (0, 20): 't1', (0, 10): 't1^-1', (2, 14): 'tau3*t2^-1', (2, 15): 't2', (2, 4): 'tau2^-1*t3^-1', (2, 5): 't3'}