U-tiling: UQC4546
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1481 |
*222222 |
(4,5,2) |
{6,3,4,4} |
{6.7.6.6.7.6}{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
|
True
|
|
sqc2751
|
|
Pmmm |
47 |
orthorhombic |
{5,3,4,3} |
10 |
(4,5) |
|
G
|
False
|
|
sqc3640
|
|
I212121 |
24 |
orthorhombic |
{6,3,4,4} |
10 |
(4,6) |
|
D
|
False
|
|
sqc427
|
|
P222 |
16 |
orthorhombic |
{6,3,4,4} |
5 |
(4,5) |
Topological data
| Vertex degrees | {6,3,4,4} |
| 2D vertex symbol | {6.7.6.6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<59.1:80:11 3 5 7 9 50 13 15 17 19 60 31 23 25 27 29 70 33 35 37 39 80 51 43 45 47 49 53 55 57 59 71 63 65 67 69 73 75 77 79,2 43 44 6 8 10 12 53 54 16 18 20 22 63 64 26 28 30 32 73 74 36 38 40 42 46 48 50 52 56 58 60 62 66 68 70 72 76 78 80,21 4 5 46 47 28 29 20 31 14 15 56 57 38 39 24 25 66 67 40 34 35 76 77 61 44 45 68 69 60 71 54 55 78 79 64 65 80 74 75:6 7 7 6 7 7,6 3 4 4 6 3 4 3 3 4> {(0, 59): 't1', (2, 56): 'tau3^-1', (2, 57): 't2^-1*tau1^-1*t3*tau2', (2, 58): 't2^-1*tau1^-1*t3*tau2', (0, 50): 'tau3^-1*t2', (2, 55): 'tau3^-1', (2, 48): 't2^-1*tau1^-1', (2, 50): 't1', (2, 45): 't2^-1', (2, 47): 't2^-1*tau1^-1', (2, 36): 't3*tau1^-1*t2^-1*tau3*t1', (2, 37): 'tau2^-1*t1', (2, 38): 'tau2^-1*t1', (2, 39): 'tau2^-1*t3^-1', (2, 35): 't3*tau1^-1*t2^-1*tau3*t1', (2, 28): 't3', (0, 60): 't2^-1*tau3*t1', (2, 26): 't3*tau1^-1', (2, 27): 't3', (2, 19): 't1^-1', (1, 72): 't1^-1*tau3^-1*t2*tau1*t3^-1', (2, 6): 't2', (1, 62): 'tau1*t3^-1', (1, 53): 't1', (1, 52): 'tau3^-1', (1, 42): 't2^-1', (2, 25): 't3*tau1^-1', (2, 79): 'tau2^-1*t3^-1'}