U-tiling: UQC410
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc482 |
*222222 |
(2,4,2) |
{8,3} |
{6.8.8.6.6.8.8.6}{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) |
G
|
False
|
|
sqc1283
|
|
I41/amd |
141 |
tetragonal |
{3,8} |
6 |
(2,3) |
D
|
False
|
|
sqc1280
|
|
Imma |
74 |
orthorhombic |
{3,8} |
6 |
(2,4) |
Topological data
Vertex degrees | {8,3} |
2D vertex symbol | {6.8.8.6.6.8.8.6}{6.8.8} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.2:56:29 4 5 41 14 43 11 12 55 50 18 19 48 28 36 25 26 34 32 33 49 39 40 56 46 47 53 54,2 17 6 7 9 24 13 14 16 20 21 23 27 28 30 52 34 35 37 45 41 42 44 48 49 51 55 56,15 3 5 34 21 22 10 12 48 28 17 19 55 24 26 41 50 31 33 56 43 38 40 49 45 47 52 54:8 6 8 6,3 8 3 8 3 3> {(0, 55): 'tau1', (2, 21): 't1', (0, 28): 't3*tau2', (1, 44): 't2*tau3^-1*t1^-1*tau2*t3', (0, 48): 'tau1^-1', (0, 40): 't3^-1', (1, 16): 't1', (1, 23): 't1', (0, 33): 't3', (0, 42): 't2*tau3^-1', (2, 49): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 54): 't2^-1', (0, 35): 't3^-1*tau2^-1', (2, 42): 't2*tau3^-1*t1^-1*tau2*t3', (1, 51): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 14): 't1', (0, 47): 't2', (0, 49): 't2^-1*tau3', }