U-tiling: UQC4568
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1485 |
*222222 |
(4,5,2) |
{4,4,4,4} |
{3.14.14.3}{3.14.3.14}{14.14.14.... |
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
|
|
sqc448
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4} |
5 |
(4,5) |
|
G
|
False
|
|
sqc3634
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4} |
10 |
(4,6) |
|
D
|
False
|
|
sqc3631
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4} |
10 |
(4,5) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {3.14.14.3}{3.14.3.14}{14.14.14.14}{14.14.14.14} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<62.3:80:41 3 5 7 9 20 61 13 15 17 19 71 23 25 27 29 40 51 33 35 37 39 43 45 47 49 70 53 55 57 59 80 63 65 67 69 73 75 77 79,2 43 6 25 8 10 12 63 16 35 18 20 22 73 26 28 30 32 53 36 38 40 42 46 75 48 50 52 56 65 58 60 62 66 68 70 72 76 78 80,51 4 5 56 57 48 49 30 71 14 15 76 77 68 69 40 61 24 25 66 67 78 79 41 34 35 46 47 58 59 44 45 80 54 55 70 64 65 74 75:3 14 3 3 3 14,4 4 4 4 4 4 4 4 4 4> {(2, 60): 't2', (0, 59): 'tau1^-1', (2, 56): 't3^-1', (0, 60): 't2*tau3^-1', (0, 50): 't3^-1*tau2^-1', (0, 49): 'tau1', (2, 50): 't3^-1', (2, 45): 't3', (2, 46): 't3', (2, 40): 't3', (2, 25): 't2^-1', (2, 26): 't2^-1', (2, 16): 't2', (0, 20): 'tau3^-1*t2', (1, 72): 't2^-1*tau3', (2, 15): 't2', (2, 10): 't2', (2, 5): 't3', (0, 0): 'tau2^-1*t3^-1', (1, 52): 't3^-1*tau2^-1', (1, 74): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 54): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 42): 't3*tau2', (1, 12): 'tau3*t2^-1', (1, 14): 't1^-1', (1, 4): 't1^-1'}