U-tiling: UQC5341
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2024 |
*222222 |
(5,6,2) |
{3,3,4,4,4} |
{6.9.6}{6.9.9}{9.9.9.9}{9.9.9.9}... |
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
|
False
|
|
sqc807
|
|
Pmmm |
47 |
orthorhombic |
{4,4,3,4,3} |
7 |
(5,6) |
G
|
False
|
|
sqc5556
|
|
C2/c |
15 |
monoclinic |
{3,3,4,4,4} |
14 |
(5,7) |
D
|
False
|
|
sqc5560
|
|
Imma |
74 |
orthorhombic |
{3,3,4,4,4} |
14 |
(5,6) |
Topological data
Vertex degrees | {3,3,4,4,4} |
2D vertex symbol | {6.9.6}{6.9.9}{9.9.9.9}{9.9.9.9}{9.9.9.9} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<109.1:96:13 3 5 7 9 11 36 15 17 19 21 23 48 37 27 29 31 33 35 39 41 43 45 47 73 51 53 55 57 59 96 85 63 65 67 69 71 84 75 77 79 81 83 87 89 91 93 95,2 27 28 6 8 10 12 14 39 40 18 20 22 24 26 30 32 34 36 38 42 44 46 48 50 87 88 54 56 58 60 62 75 76 66 68 70 72 74 78 80 82 84 86 90 92 94 96,25 4 5 30 31 56 57 70 71 60 37 16 17 42 43 80 81 94 95 84 28 29 92 93 82 83 96 40 41 68 69 58 59 72 85 52 53 90 91 73 64 65 78 79 76 77 88 89:6 9 9 6 9 9,3 3 4 4 4 3 3 4 4 4 3 3 3 3> {(2, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 59): 't3*tau2*t1^-1*tau3^-1*t2', (2, 57): 't3', (0, 60): 'tau1^-1', (2, 59): 't3*tau2', (0, 48): 'tau1', (2, 48): 't3*tau2*t1^-1*tau3^-1*t2', (2, 46): 't3^-1', (2, 47): 'tau2*t3', (2, 36): 't1', (0, 35): 't1', (2, 33): 't2^-1', (2, 35): 'tau3^-1*t2', (2, 24): 't1', (2, 21): 't2', (2, 22): 't2', (2, 23): 'tau3*t2^-1', (0, 23): 't1^-1', (1, 87): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 75): 't2*tau3^-1*t1^-1*tau2*t3', (2, 9): 't3', (2, 10): 't3', (1, 39): 't1', (1, 27): 't1', (0, 83): 't2*tau3^-1*t1^-1*tau2*t3', (2, 82): 't2'}