U-tiling: UQC5223
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1517 |
*4444 |
(5,4,2) |
{3,3,4,8,4} |
{8.8.8}{8.8.8}{8.8.8.8}{8.8.8.8.... |
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
|
|
sqc3388
|
|
P-4m2 |
115 |
tetragonal |
{3,3,4,8,4} |
11 |
(5,4) |
|
G
|
False
|
|
sqc3327
|
|
I-4 |
82 |
tetragonal |
{3,3,4,8,4} |
11 |
(5,5) |
|
D
|
False
|
|
sqc3329
|
|
I-4m2 |
119 |
tetragonal |
{3,3,4,8,4} |
11 |
(5,4) |
Topological data
| Vertex degrees | {3,3,4,8,4} |
| 2D vertex symbol | {8.8.8}{8.8.8}{8.8.8.8}{8.8.8.8.8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.2:80:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80,21 62 5 7 16 9 20 31 72 15 17 19 32 25 27 46 29 50 35 37 56 39 60 61 52 45 47 49 71 55 57 59 65 67 76 69 80 75 77 79,3 4 25 26 67 68 29 30 13 14 35 36 77 78 39 40 23 24 37 38 33 34 43 44 65 66 57 58 69 70 53 54 75 76 79 80 63 64 73 74:8 8 8 8 8,3 3 4 8 4 3 3 3 3 3 3> {(2, 58): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 59): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 54): 't3*tau2*t3', (2, 55): 't3*tau2*t3', (2, 48): 'tau1', (2, 49): 'tau1', (2, 44): 't3', (2, 45): 't3', (2, 38): 'tau3^-1', (2, 39): 'tau3^-1', (2, 34): 't1', (2, 35): 't1', (2, 28): 't2^-1', (2, 29): 't2^-1', (2, 16): 't1^-1*tau2*t3', (2, 17): 't1^-1*tau2*t3', (1, 71): 't3^-1*tau2^-1*t1', (1, 70): 't3^-1*tau2^-1*t3^-1', (1, 59): 't3*tau2*t1^-1', (1, 60): 't3^-1', (1, 55): 't3*tau2*t1^-1', (1, 10): 't1^-1'}