U-tiling: UQC864
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc645 |
*222222 |
(2,4,3) |
{12,4} |
{4.6.3.3.6.4.4.6.3.3.6.4}{6.3.6.3} |
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
|
|
sqc43
|
|
P4/mmm |
123 |
tetragonal |
{10,4} |
2 |
(2,3) |
|
G
|
False
|
|
sqc1611
|
|
C2/c |
15 |
monoclinic |
{12,4} |
4 |
(2,5) |
|
D
|
True
|
|
sqc1175
|
|
Imma |
74 |
orthorhombic |
{10,4} |
4 |
(2,4) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {4.6.3.3.6.4.4.6.3.3.6.4}{6.3.6.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.3:64:41 34 35 6 7 16 57 50 51 14 15 49 58 59 22 23 32 33 42 43 30 31 38 39 56 46 47 64 54 55 62 63,2 4 8 22 15 10 12 16 30 18 20 24 31 26 28 32 34 36 40 62 55 42 44 48 54 63 50 52 56 58 60 64,33 3 5 7 24 49 11 13 15 32 57 19 21 23 41 27 29 31 35 37 39 64 43 45 47 56 51 53 55 59 61 63:4 6 3 4 6 3 3 3,12 4 12 4> {(0, 48): 't2', (2, 32): 't3*tau2', (1, 54): 'tau1^-1', (2, 31): 't1', (0, 63): 'tau1', (0, 40): 't3^-1', (2, 56): 't2^-1*tau3', (0, 55): 'tau1^-1', (0, 32): 't3', (2, 48): 't2*tau3^-1', (2, 23): 't1', (2, 63): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 56): 't2^-1', (2, 40): 't3^-1*tau2^-1', (1, 62): 'tau1', (2, 55): 't2*tau3^-1*t1^-1*tau2*t3', }