U-tiling: UQC4645
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1497 |
*222222 |
(4,5,2) |
{4,4,3,3} |
{16.16.16.16}{16.16.16.16}{16.4.... |
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
|
|
sqc3650
|
|
I212121 |
24 |
orthorhombic |
{4,4,3,3} |
12 |
(4,6) |
|
D
|
False
|
|
sqc458
|
|
Pmmm |
47 |
orthorhombic |
{4,4,3,3} |
6 |
(4,5) |
Topological data
| Vertex degrees | {4,4,3,3} |
| 2D vertex symbol | {16.16.16.16}{16.16.16.16}{16.4.16}{16.16.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<72.1:80:11 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 4 6 10 18 29 12 14 16 20 39 22 24 26 30 38 32 34 36 40 42 44 46 50 58 69 52 54 56 60 79 62 64 66 70 78 72 74 76 80,21 42 43 14 15 8 9 30 31 52 53 18 19 40 62 63 34 35 28 29 72 73 38 39 61 54 55 48 49 70 71 58 59 80 74 75 68 69 78 79:16 4 16 4,4 4 3 3 4 3 4 3 3 3 3 3> {(2, 33): 'tau2^-1*t3^-1', (0, 59): 'tau3^-1', (2, 63): 't3*tau2', (0, 60): 't2^-1*tau3*t1', (2, 59): 't2^-1*tau1^-1*t3*tau2', (0, 50): 'tau3^-1*t2', (0, 49): 't2^-1', (2, 49): 't2^-1*tau1^-1', (2, 50): 't1', (2, 51): 't1', (0, 39): 't3*tau1^-1*t2^-1*tau3*t1', (2, 34): 'tau2^-1*t3^-1', (2, 29): 't3', (0, 29): 't3*tau1^-1', (2, 19): 't1^-1*tau2', (2, 12): 't1^-1', (2, 13): 't1^-1', (2, 14): 't1^-1', (1, 77): 'tau2^-1*t3^-1', (1, 68): 'tau1*t2', (1, 58): 't2^-1*tau1^-1*t3*tau2', (1, 37): 'tau2^-1*t3^-1', (1, 38): 'tau2^-1*t1', (1, 28): 't3', (1, 17): 't1^-1', (2, 64): 't3*tau2'}