U-tiling: UQC1381
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc91 |
2*44 |
(1,2,2) |
{16} |
{4.3.3.3.4.3.3.3.4.3.3.3.4.3.3.3} |
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
|
|
sqc8
|
bct
|
I4/mmm |
139 |
tetragonal |
{10} |
1 |
(1,2) |
|
G
|
True
|
|
sqc37
|
|
P4/mmm |
123 |
tetragonal |
{14} |
1 |
(1,3) |
|
D
|
True
|
|
sqc106
|
tsi
|
I41/amd |
141 |
tetragonal |
{8} |
2 |
(1,2) |
Topological data
| Vertex degrees | {16,16} |
| 2D vertex symbol | {4.3.3.3.4.3.3.3.4.3.3.3.4.3.3.3}{3.3.4.3.3.3.4.3.3.3.4.3.3.3.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.1:64:17 18 5 6 23 24 25 26 13 14 31 32 21 22 29 30 49 50 37 38 55 56 57 58 45 46 63 64 53 54 61 62,9 3 20 21 7 56 11 28 29 15 64 33 19 23 32 41 27 31 35 52 53 39 48 43 60 61 47 57 51 55 59 63,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64:4 3 3 4 3 3 3 3 3 3,16 16> {(0, 62): 't3^-1*tau2^-1*t3^-1', (0, 55): 't3^-1', (1, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 20): 't2^-1', (0, 48): 'tau1^-1', (0, 63): 't3^-1*tau2^-1*t3^-1', (0, 30): 't1', (1, 51): 't3^-1', (1, 28): 'tau3^-1', (0, 56): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 49): 'tau1^-1', (1, 63): 't3^-1*tau2^-1*t1', (0, 16): 't2^-1', (0, 31): 't1', (1, 59): 't3^-1*tau2^-1*t3^-1', (1, 40): 't3*tau2*t1^-1', (0, 57): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 24): 'tau3^-1', (0, 17): 't2^-1', (1, 27): 't1', (0, 54): 't3^-1', (0, 25): 'tau3^-1', (1, 52): 'tau1^-1', }