U-tiling: UQC37
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc109 |
*2244 |
(1,3,3) |
{5} |
{4.8.4.4.8} |
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
|
True
|
|
sqc2179
|
dft
|
P42/mmc |
131 |
tetragonal |
{4} |
8 |
(1,3) |
|
G
|
False
|
|
sqc3583
|
|
I-42d |
122 |
tetragonal |
{5} |
8 |
(1,3) |
|
D
|
False
|
|
sqc500
|
|
P4/mmm |
123 |
tetragonal |
{5} |
4 |
(1,3) |
Topological data
| Vertex degrees | {5} |
| 2D vertex symbol | {4.8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.1:80:41 7 8 14 15 46 19 20 51 22 23 56 27 28 61 34 35 66 39 40 71 37 38 76 47 48 54 55 59 60 62 63 67 68 74 75 79 80 77 78,2 4 35 7 9 40 12 14 20 17 19 22 24 30 27 29 32 34 37 39 42 44 75 47 49 80 52 54 60 57 59 62 64 70 67 69 72 74 77 79,31 3 5 36 8 10 16 13 15 18 20 26 23 25 28 30 33 35 38 40 71 43 45 76 48 50 56 53 55 58 60 66 63 65 68 70 73 75 78 80:4 8 4 4 4 4 8 4,5 5 5 5 5 5 5 5> {(0, 18): 't1', (0, 74): 'tau1^-1', (0, 34): 't3^-1', (0, 78): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 59): 'tau3^-1', (0, 26): 't3*tau2*t1^-1', (0, 38): 't3^-1*tau2^-1*t3^-1', (0, 19): 't1', (0, 63): 'tau1', (0, 79): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 56): 't1*tau2^-1*t3^-1', (0, 27): 't3*tau2*t1^-1', (0, 39): 't3^-1*tau2^-1*t3^-1', (0, 53): 't2^-1', (2, 45): 't1^-1*tau2*t3', (1, 79): 't3^-1*tau2^-1*t1', (0, 57): 't1*tau2^-1*t3^-1', (1, 39): 't3^-1*tau2^-1*t1', (0, 33): 't3^-1', (0, 54): 't2^-1', (2, 35): 't3^-1*tau2^-1*t1', (0, 58): 'tau3^-1', }