U-tiling: UQC851
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc643 |
*222222 |
(2,4,3) |
{12,4} |
{4.3.6.6.3.4.4.3.6.6.3.4}{3.6.3.6} |
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
|
|
sqc21
|
|
Pmmm |
47 |
orthorhombic |
{8,4} |
2 |
(2,3) |
|
G
|
False
|
|
sqc1820
|
|
I4122 |
98 |
tetragonal |
{12,4} |
4 |
(2,3) |
|
D
|
False
|
|
sqc98
|
|
P222 |
16 |
orthorhombic |
{4,12} |
2 |
(2,4) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {4.3.6.6.3.4.4.3.6.6.3.4}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<25.1:64:17 34 35 6 7 24 25 42 43 14 15 32 50 51 22 23 58 59 30 31 49 38 39 56 57 46 47 64 54 55 62 63,2 4 8 38 15 10 12 16 46 18 20 24 54 31 26 28 32 62 34 36 40 47 42 44 48 50 52 56 63 58 60 64,9 3 5 7 40 11 13 15 48 25 19 21 23 56 27 29 31 64 41 35 37 39 43 45 47 57 51 53 55 59 61 63:4 3 6 4 3 3 3 6,12 4 12 4> {(0, 55): 'tau1*t2', (1, 30): 'tau2^-1*t3^-1', (2, 47): 'tau3^-1', (0, 63): 'tau2^-1*t3^-1*tau1*t2', (1, 45): 't1', (2, 56): 't1^-1*tau3^-1*t2', (1, 14): 't1^-1', (2, 39): 't2^-1', (0, 42): 't1', (0, 23): 't3', (0, 31): 'tau2^-1*t1', (2, 63): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 9): 't1^-1', (0, 56): 't1^-1', (2, 40): 'tau3^-1*t2', (1, 62): 'tau2^-1*t3^-1', (2, 55): 'tau1*t3^-1', }