U-tiling: UQC5219
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) |
|
G
|
False
|
|
sqc3316
|
|
I-4m2 |
119 |
tetragonal |
{4,8,4,8,4} |
8 |
(5,5) |
|
D
|
False
|
|
sqc3336
|
|
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
<22.2:80:21 6 23 5 8 10 31 16 33 15 18 20 26 25 28 30 36 35 38 40 61 46 63 45 48 50 71 56 73 55 58 60 66 65 68 70 76 75 78 80,2 4 25 7 9 30 12 14 35 17 19 40 22 24 27 29 32 34 37 39 42 44 65 47 49 70 52 54 75 57 59 80 62 64 67 69 72 74 77 79,3 62 64 65 66 27 28 19 20 13 72 74 75 76 37 38 23 32 34 35 36 49 50 33 59 60 43 52 54 55 56 67 68 53 77 78 63 79 80 73:7 3 7 3 7 3 7 3,4 4 8 8 4 4 4 4> {(2, 56): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 57): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 58): 't3*tau2*t1^-1', (2, 59): 't3*tau2*t1^-1', (0, 50): 't3*tau2*t3', (0, 52): 't3*tau2*t3', (0, 42): 't3', (2, 46): 'tau1', (2, 47): 'tau1', (2, 15): 't1^-1*tau2*t3', (2, 36): 'tau3^-1', (2, 37): 'tau3^-1', (0, 32): 't1', (0, 30): 't1', (0, 60): 't3^-1', (2, 26): 't2^-1', (2, 27): 't2^-1', (2, 13): 't1^-1*tau2*t3', (2, 14): 't1^-1*tau2*t3', (1, 74): 't3^-1*tau2^-1*t3^-1', (2, 11): 't1^-1*tau2*t3', (1, 64): 't3^-1', (1, 69): 't3^-1', (1, 59): 't3*tau2*t3', (1, 39): 't1', (1, 14): 't1^-1'}