U-tiling: UQC407
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc481 |
*222222 |
(2,4,2) |
{4,6} |
{6.8.8.6}{6.8.8.6.8.8} |
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
|
|
sqc1109
|
|
Pmmm |
47 |
orthorhombic |
{5,4} |
6 |
(2,4) |
G
|
False
|
|
sqc1376
|
|
I212121 |
24 |
orthorhombic |
{6,4} |
6 |
(2,5) |
D
|
False
|
|
sqc68
|
|
P-42m |
111 |
tetragonal |
{4,6} |
3 |
(2,4) |
Topological data
Vertex degrees | {4,6} |
2D vertex symbol | {6.8.8.6}{6.8.8.6.8.8} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.1:56:15 4 5 34 21 22 11 12 41 28 18 19 48 25 26 55 43 32 33 49 50 39 40 56 46 47 53 54,2 31 6 7 9 38 13 14 16 45 20 21 23 52 27 28 30 34 35 37 41 42 44 48 49 51 55 56,8 3 5 13 14 10 12 22 17 19 27 28 24 26 36 31 33 41 42 38 40 50 45 47 55 56 52 54:8 6 8 6,6 4 6 4 4 4> {(2, 54): 'tau2^-1*t3^-1', (2, 27): 'tau2^-1*t3^-1', (1, 30): 't2^-1', (2, 26): 'tau2^-1*t3^-1', (1, 44): 'tau1*t3^-1', (0, 40): 't1', (2, 13): 't1^-1', (0, 20): 't3', (2, 12): 't1^-1', (0, 55): 'tau2^-1*t3^-1*tau1*t2', (1, 37): 'tau3^-1', (2, 48): 't3*tau2', (2, 42): 't2^-1*tau3*t1', (1, 51): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 34): 't2^-1*tau1^-1', (2, 35): 'tau3^-1*t2', (0, 27): 'tau2^-1*t1', (0, 49): 't1^-1', }