U-tiling: UQC4188
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc863 |
*4444 |
(4,4,2) |
{4,4,8,4} |
{5.5.12.12}{12.12.12.12}{5.5.5.5... |
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
|
|
sqc1302
|
|
P-4m2 |
115 |
tetragonal |
{3,8,4,4} |
7 |
(4,4) |
|
G
|
False
|
|
sqc1831
|
|
I-4 |
82 |
tetragonal |
{4,8,4,4} |
7 |
(4,4) |
|
D
|
False
|
|
sqc1833
|
|
I-4m2 |
119 |
tetragonal |
{4,8,4,4} |
7 |
(4,4) |
Topological data
| Vertex degrees | {4,4,8,4} |
| 2D vertex symbol | {5.5.12.12}{12.12.12.12}{5.5.5.5.5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<11.1:64:9 6 11 5 8 14 13 16 33 22 35 21 24 41 30 43 29 32 38 37 40 46 45 48 57 54 59 53 56 62 61 64,2 4 21 7 16 10 12 29 15 18 20 23 40 26 28 31 48 34 36 53 39 42 44 61 47 50 52 55 64 58 60 63,3 50 52 53 54 23 24 11 58 60 61 62 31 32 19 26 28 29 30 27 35 42 44 45 46 55 56 43 63 64 51 59:5 12 5 5 5,4 4 8 4 4 4 4> {(2, 60): 't3^-1*tau2^-1*t1', (2, 61): 't3^-1*tau2^-1*t1', (2, 62): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 63): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 28): 't1', (2, 57): 't3^-1*tau2^-1*t1', (2, 59): 't3^-1*tau2^-1*t1', (2, 54): 'tau1^-1', (2, 55): 'tau1^-1', (0, 24): 't1*tau2^-1*t3^-1', (1, 52): 't3^-1', (0, 42): 't3*tau2*t1^-1', (2, 23): 't2^-1', (2, 31): 'tau3^-1', (1, 47): 't3*tau2*t1^-1', (2, 14): 'tau3', (2, 22): 't2^-1', (1, 60): 't3^-1*tau2^-1*t3^-1'}