U-tiling: UQC175
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc163 |
*22222 |
(2,2,2) |
{6,4} |
{6.4.6.6.4.6}{6.4.6.4} |
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
|
|
sqc11
|
fsc
|
P4/mmm |
123 |
tetragonal |
{6,4} |
2 |
(2,2) |
|
G
|
False
|
|
sqc3571
|
|
Fddd |
70 |
orthorhombic |
{6,4} |
8 |
(2,3) |
|
D
|
False
|
|
sqc514
|
|
Cmma |
67 |
orthorhombic |
{4,6} |
4 |
(2,2) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {6.4.6.6.4.6}{6.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.2:80:46 3 5 56 8 10 66 13 15 76 18 20 51 23 25 41 28 30 71 33 35 61 38 40 43 45 48 50 53 55 58 60 63 65 68 70 73 75 78 80,2 13 24 10 7 18 29 12 34 20 17 39 22 33 30 27 38 32 40 37 42 63 59 55 47 68 54 60 52 73 57 78 62 79 75 67 74 80 72 77,41 4 5 51 9 10 61 14 15 71 19 20 56 24 25 46 29 30 76 34 35 66 39 40 44 45 49 50 54 55 59 60 64 65 69 70 74 75 79 80:6 4 6 4 6 6 4 4,6 4 6 6 6 4 4 4> {(2, 60): 'tau2', (2, 30): 'tau3^-1', (1, 59): 'tau1', (1, 62): 't3^-1', (0, 50): 't2', (1, 78): 'tau3*t1*tau2^-1', (0, 55): 't2^-1', (1, 54): 'tau1^-1', (1, 73): 'tau3^-1*t1^-1*tau2', (1, 72): 't2^-1', (0, 40): 't3', (1, 74): 't2^-1*tau1^-1*t3', (1, 77): 't2', (2, 15): 'tau3', (0, 45): 't3^-1', (1, 33): 't1', (1, 67): 't3', (1, 38): 't1', (1, 69): 't3*tau1^-1*t2^-1', (2, 35): 'tau2'}