U-tiling: UQC5224
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
|
True
|
|
sqc2245
|
|
P-4m2 |
115 |
tetragonal |
{3,3,4,6} |
10 |
(4,4) |
|
G
|
False
|
|
sqc3327
|
|
I-4 |
82 |
tetragonal |
{3,3,4,8,4} |
11 |
(5,5) |
|
D
|
False
|
|
sqc3390
|
|
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
<24.1:80:2 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 80,11 22 5 7 26 9 30 32 15 17 36 19 40 41 25 27 29 51 35 37 39 62 45 47 66 49 70 72 55 57 76 59 80 71 65 67 69 75 77 79,3 4 15 16 27 28 69 70 13 14 37 38 79 80 23 24 45 46 39 40 33 34 55 56 43 44 67 68 59 60 53 54 77 78 63 64 75 76 73 74:8 8 8 8 8,3 3 4 8 4 3 3 3 3 3 3> {(2, 56): 't3*tau2*t3', (2, 57): 't3*tau2*t3', (2, 54): 't3*tau2*t1^-1', (2, 55): 't3*tau2*t1^-1', (2, 46): 't3', (2, 47): 't3', (2, 36): 't1', (2, 37): 't1', (2, 18): 't1^-1*tau2*t3', (2, 19): 't1^-1*tau2*t3', (1, 75): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 79): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 65): 'tau1^-1', (1, 69): 'tau1^-1', (1, 71): 't3^-1*tau2^-1*t3^-1', (1, 61): 't3^-1', (1, 50): 't3*tau2*t1^-1', (1, 35): 'tau3^-1', (1, 39): 'tau3^-1', (1, 25): 't2^-1', (1, 9): 't2', (1, 11): 't1^-1'}