U-tiling: UQC5220
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1515 |
*4444 |
(5,5,2) |
{4,4,8,8,4} |
{7.7.3.3}{3.3.3.3}{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
|
|
sqc2574
|
|
P4/mmm |
123 |
tetragonal |
{4,6,4,6,4} |
8 |
(5,5) |
|
G
|
False
|
|
sqc3316
|
|
I-4m2 |
119 |
tetragonal |
{4,8,4,8,4} |
8 |
(5,5) |
|
D
|
False
|
|
sqc3310
|
|
I-4m2 |
119 |
tetragonal |
{4,8,4,8,4} |
8 |
(5,5) |
Topological data
| Vertex degrees | {4,4,8,8,4} |
| 2D vertex symbol | {7.7.3.3}{3.3.3.3}{7.7.7.7.7.7.7.7}{7.7.7.7.7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.1:80:11 6 13 5 8 10 16 15 18 20 41 26 43 25 28 30 51 36 53 35 38 40 46 45 48 50 56 55 58 60 71 66 73 65 68 70 76 75 78 80,2 4 15 7 9 20 12 14 17 19 22 24 45 27 29 50 32 34 55 37 39 60 42 44 47 49 52 54 57 59 62 64 75 67 69 80 72 74 77 79,3 22 24 25 26 67 68 29 30 13 32 34 35 36 77 78 39 40 23 37 38 33 43 62 64 65 66 57 58 69 70 53 72 74 75 76 79 80 63 73:7 3 7 3 7 3 7 3,4 4 8 8 4 4 4 4> {(2, 61): 't3^-1', (2, 63): 't3^-1', (2, 58): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 59): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 50): 't3*tau2*t1^-1', (2, 53): 't3*tau2*t3', (2, 54): 't3*tau2*t3', (2, 55): 't3*tau2*t3', (2, 48): 'tau1', (2, 49): 'tau1', (0, 52): 't3*tau2*t1^-1', (2, 51): 't3*tau2*t3', (2, 44): 't3', (2, 45): 't3', (2, 38): 'tau3^-1', (2, 39): 'tau3^-1', (2, 33): 't1', (2, 34): 't1', (2, 35): 't1', (2, 28): 't2^-1', (2, 29): 't2^-1', (2, 31): 't1', (2, 16): 't1^-1*tau2*t3', (2, 17): 't1^-1*tau2*t3', (1, 59): 't3*tau2*t1^-1', (1, 54): 't3*tau2*t1^-1'}