U-tiling: UQC753
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc614 |
*222222 |
(2,4,3) |
{10,6} |
{4.3.6.3.4.4.3.6.3.4}{3.6.6.3.6.6} |
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
|
|
sqc9
|
|
Pmmm |
47 |
orthorhombic |
{4,6} |
2 |
(2,4) |
G
|
False
|
|
sqc1604
|
|
C2/c |
15 |
monoclinic |
{6,10} |
4 |
(2,5) |
D
|
True
|
|
sqc1169
|
|
Imma |
74 |
orthorhombic |
{6,8} |
4 |
(2,4) |
Topological data
Vertex degrees | {10,6} |
2D vertex symbol | {4.3.6.3.4.4.3.6.3.4}{3.6.6.3.6.6} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<20.3:64:41 4 5 22 23 16 57 12 13 30 31 49 20 21 32 33 28 29 36 37 62 63 56 44 45 54 55 64 52 53 60 61,2 19 36 6 8 10 27 52 14 16 18 60 22 24 26 44 30 32 34 59 38 40 42 51 46 48 50 54 56 58 62 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 63:6 3 4 6 3 3 4 3,6 10 6 10> {(0, 29): 't1', (1, 26): 't1', (2, 56): 't2^-1*tau3', (0, 55): 'tau1^-1', (0, 6): 't1^-1', (0, 48): 't2', (2, 32): 't3*tau2', (0, 63): 'tau1', (0, 56): 't2^-1', (2, 40): 't3^-1*tau2^-1', (0, 62): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 53): 't2*tau3^-1*t1^-1*tau2*t3', (1, 50): 't2*tau3^-1*t1^-1*tau2*t3', (0, 32): 't3', (2, 8): 'tau3*t2^-1', (0, 14): 't1^-1', (0, 61): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 58): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 40): 't3^-1', (0, 21): 't1', (1, 18): 't1', (0, 54): 't2*tau3^-1*t1^-1*tau2*t3', }