U-tiling: UQC4541
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1480 |
*222222 |
(4,5,2) |
{3,6,4,4} |
{6.7.6}{6.7.7.6.7.7}{7.7.7.7}{7.... |
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
|
|
sqc506
|
|
Pmmm |
47 |
orthorhombic |
{4,4,6,3} |
5 |
(4,5) |
G
|
False
|
|
sqc3549
|
|
C2/c |
15 |
monoclinic |
{3,6,4,4} |
10 |
(4,6) |
D
|
False
|
|
sqc3540
|
|
Imma |
74 |
orthorhombic |
{3,6,4,4} |
10 |
(4,5) |
Topological data
Vertex degrees | {3,6,4,4} |
2D vertex symbol | {6.7.6}{6.7.7.6.7.7}{7.7.7.7}{7.7.7.7} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<58.1:80:11 3 5 7 9 30 13 15 17 19 40 31 23 25 27 29 33 35 37 39 61 43 45 47 49 80 71 53 55 57 59 70 63 65 67 69 73 75 77 79,2 23 24 6 8 10 12 33 34 16 18 20 22 26 28 30 32 36 38 40 42 73 74 46 48 50 52 63 64 56 58 60 62 66 68 70 72 76 78 80,21 4 5 46 47 58 59 50 31 14 15 66 67 78 79 70 24 25 76 77 68 69 80 34 35 56 57 48 49 60 71 44 45 61 54 55 64 65 74 75:6 7 7 6 7 7,3 6 4 4 3 6 4 4 3 3> {(2, 60): 't2*tau3^-1*t1^-1*tau2*t3', (0, 59): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 57): 't3^-1', (0, 60): 'tau1^-1', (2, 59): 't3^-1*tau2^-1', (0, 50): 'tau1^-1', (0, 49): 't3*tau2*t1^-1*tau3^-1*t2', (2, 48): 't3', (2, 49): 't3*tau2', (2, 47): 't3', (2, 40): 't3*tau2*t1^-1*tau3^-1*t2', (0, 39): 't1', (2, 28): 't2^-1', (2, 29): 'tau3^-1*t2', (2, 30): 't1', (2, 58): 't3^-1', (2, 27): 't2^-1', (2, 20): 't1', (2, 17): 't2', (2, 18): 't2', (2, 19): 'tau3*t2^-1', (1, 73): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 9): 't1^-1', (1, 63): 't2*tau3^-1*t1^-1*tau2*t3', (1, 33): 't1', (1, 3): 't1^-1'}