U-tiling: UQC4183
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc860 |
*4444 |
(4,4,2) |
{16,4,8,4} |
{5.5.3.3.5.5.3.3.5.5.3.3.5.5.3.3... |
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
|
|
sqc734
|
|
P4/mmm |
123 |
tetragonal |
{10,6,4,4} |
4 |
(4,4) |
|
G
|
False
|
|
sqc1818
|
|
I-4m2 |
119 |
tetragonal |
{16,8,4,4} |
4 |
(4,4) |
|
D
|
False
|
|
sqc1591
|
|
I-4m2 |
119 |
tetragonal |
{16,8,4,4} |
4 |
(4,4) |
Topological data
| Vertex degrees | {16,4,8,4} |
| 2D vertex symbol | {5.5.3.3.5.5.3.3.5.5.3.3.5.5.3.3}{3.3.3.3}{5.5.5.5.5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.1:64:9 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 13 7 16 10 12 15 18 20 37 23 40 26 28 45 31 48 34 36 39 42 44 47 50 52 61 55 64 58 60 63,3 50 20 21 54 23 24 11 58 28 29 62 31 32 19 26 30 27 35 42 52 53 46 55 56 43 60 61 63 64 51 59:5 3 5 3 5 3 5 3,16 4 8 4> {(2, 60): 't3^-1*tau2^-1*t3^-1', (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', (2, 57): 't3^-1*tau2^-1*t1', (2, 59): 't3^-1*tau2^-1*t3^-1', (2, 52): 't3^-1', (2, 54): 'tau1^-1', (2, 55): 'tau1^-1', (2, 14): 'tau3', (0, 24): 't1*tau2^-1*t3^-1', (2, 51): 't3^-1', (2, 12): 't1^-1', (2, 23): 't2^-1', (2, 31): 'tau3^-1', (1, 44): 't3*tau2*t1^-1', (1, 47): 't3*tau2*t1^-1', (0, 26): 't1*tau2^-1*t3^-1', (2, 27): 't1', (2, 22): 't2^-1'}