U-tiling: UQC2224
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/hqc1734.jpg) |
hqc1734 |
*222222 |
(2,6,4) |
{8,6} |
{4.3.4.4.4.4.3.4}{3.4.4.3.4.4} |
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
|
|
sqc4327
|
|
Cmma |
67 |
orthorhombic |
{6,8} |
6 |
(2,6) |
G
|
False
|
|
sqc4219
|
|
C2/c |
15 |
monoclinic |
{6,8} |
6 |
(2,7) |
D
|
True
|
|
sqc250
|
|
Cmmm |
65 |
orthorhombic |
{6,6} |
3 |
(2,4) |
Topological data
Vertex degrees | {8,6} |
2D vertex symbol | {4.3.4.4.4.4.3.4}{3.4.4.3.4.4} |
Dual tiling | ![Tiling details](/u_net_small_images/s222222a_FSGG_86_1_0.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<86.1:88:23 4 5 28 29 52 31 32 55 34 15 16 39 40 74 42 43 77 26 27 85 88 37 38 63 66 78 48 49 83 84 86 87 67 59 60 72 73 75 76 70 71 81 82,2 25 6 9 8 11 13 36 17 20 19 22 24 28 31 30 33 35 39 42 41 44 46 80 50 53 52 55 57 69 61 64 63 66 68 72 75 74 77 79 83 86 85 88,12 3 5 7 63 10 66 14 16 18 85 21 88 34 25 27 29 74 32 77 36 38 40 52 43 55 67 47 49 51 54 78 58 60 62 65 69 71 73 76 80 82 84 87:4 3 4 4 4 3 4 4 4 3 4 3,6 8 8 8 8 6> {(0, 29): 'tau3^-1*t2', (0, 51): 't3*tau2', (0, 18): 'tau3*t2^-1', (0, 62): 't3^-1*tau2^-1', (0, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 22): 't1', (2, 10): 't3', (0, 5): 't1^-1', (2, 54): 't3', (0, 38): 't1', (2, 21): 't2', (2, 44): 'tau1', (2, 62): 't3^-1', (2, 29): 't2^-1', (0, 49): 't3*tau2*t1^-1*tau3^-1*t2', (0, 39): 't1', (0, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 84): 't2^-1', (2, 51): 't3', (2, 55): 'tau1^-1', (2, 32): 't2^-1', (0, 61): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 28): 't1', (0, 50): 't3*tau2*t1^-1*tau3^-1*t2', (0, 33): 't1', (0, 44): 't3*tau2*t1^-1*tau3^-1*t2', }