U-tiling: UQC3875
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/hqc1104.jpg) |
hqc1104 |
*222222 |
(3,5,2) |
{8,6,4} |
{3.6.6.3.3.6.6.3}{3.6.6.3.6.6}{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
|
False
|
|
sqc309
|
|
Pmmm |
47 |
orthorhombic |
{4,6,8} |
3 |
(3,5) |
G
|
False
|
|
sqc2366
|
|
C2/c |
15 |
monoclinic |
{8,6,4} |
6 |
(3,6) |
D
|
False
|
|
sqc2367
|
|
Imma |
74 |
orthorhombic |
{8,6,4} |
6 |
(3,5) |
Topological data
Vertex degrees | {8,6,4} |
2D vertex symbol | {3.6.6.3.3.6.6.3}{3.6.6.3.6.6}{6.6.6.6} |
Dual tiling | ![Tiling details](/u_net_small_images/s222222a_FSGG_27_3_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.3:72:37 3 5 24 8 27 55 12 14 33 17 36 64 21 23 26 46 30 32 35 39 41 69 44 72 48 50 60 53 63 57 59 62 66 68 71,2 39 6 7 9 11 57 15 16 18 20 66 24 25 27 29 48 33 34 36 38 42 43 45 47 51 52 54 56 60 61 63 65 69 70 72,46 4 5 42 25 26 18 64 13 14 60 34 35 55 22 23 69 36 37 31 32 51 40 41 70 71 63 49 50 61 62 72 58 59 67 68:3 6 3 6 3 3 6 6,8 6 4 8 6 4> {(2, 60): 't2*tau3^-1*t1^-1*tau2*t3', (2, 61): 't2*tau3^-1*t1^-1*tau2*t3', (2, 62): 'tau1^-1', (2, 63): 't2^-1', (0, 63): 't2^-1*tau3', (2, 53): 'tau1^-1', (2, 54): 't2', (2, 43): 't3*tau2*t1^-1*tau3^-1*t2', (0, 54): 't2*tau3^-1', (2, 45): 't3^-1', (2, 42): 't3*tau2*t1^-1*tau3^-1*t2', (0, 45): 't3^-1*tau2^-1', (2, 36): 't3', (2, 33): 't1', (2, 34): 't1', (2, 24): 't1', (2, 25): 't1', (1, 65): 't2^-1*tau3', (0, 0): 'tau2^-1*t3^-1', (1, 56): 't2*tau3^-1', (1, 47): 't3^-1*tau2^-1', (1, 38): 't3*tau2'}