U-tiling: UQC176
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) |
|
G
|
False
|
|
sqc3511
|
|
I4122 |
98 |
tetragonal |
{6,4} |
8 |
(2,3) |
|
D
|
False
|
|
sqc11
|
fsc
|
P4/mmm |
123 |
tetragonal |
{6,4} |
2 |
(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
<2.4:80:6 4 5 9 10 16 14 15 19 20 36 24 25 46 29 30 51 34 35 39 40 56 44 45 49 50 54 55 59 60 66 64 65 69 70 76 74 75 79 80,2 48 14 25 7 38 19 30 12 58 35 17 53 45 22 68 34 27 63 44 32 78 37 54 65 42 73 47 59 70 52 75 57 80 62 74 67 79 72 77,11 3 5 16 8 10 13 15 18 20 31 23 25 41 28 30 33 35 51 38 40 43 45 56 48 50 53 55 58 60 71 63 65 76 68 70 73 75 78 80:6 4 4 4 4 6 6 6,6 4 6 4 6 6 4 4> {(1, 53): 'tau2*t3', (0, 45): 't2^-1', (0, 60): 'tau1^-1', (1, 44): 't1^-1', (0, 50): 'tau2', (1, 58): 'tau3^-1*t2', (1, 78): 't1^-1*tau3^-1*t2', (1, 57): 't1', (0, 75): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 75): 'tau2^-1*t3^-1', (1, 73): 'tau2*t3', (1, 79): 't1^-1', (0, 55): 'tau3^-1', (1, 18): 't1', (1, 72): 't1', (0, 35): 't3^-1', (2, 10): 't1^-1', (0, 15): 't1', (2, 30): 'tau2^-1*t3^-1', (2, 40): 'tau3*t2^-1', (2, 60): 't2*tau3^-1*t1^-1', }